Tables

Çengel−Boles: Thermodynamics: An Engineering Approach, Sixth Edition 910 | Appendix 1: Property Tables and Charts (SI Units) 915 © The McGraw−Hill Companies, 2008 Table A−1 Molar mass, gas constant, and critical−point properties Thermodynamics TABLE A – 1 Molar mass, gas constant, and critical-point properties Substance Formula Air Ammonia Argon Benzene Bromine n-Butane Carbon dioxide Carbon monoxide Carbon tetrachloride Chlorine Chloroform Dichlorodifluoromethane (R-12) Dichlorofluoromethane (R-21) Ethane Ethyl alcohol Ethylene Helium n-Hexane Hydrogen (normal) Krypton Methane Methyl alcohol Methyl chloride Neon Nitrogen Nitrous oxide Oxygen Propane Propylene Sulfur dioxide Tetrafluoroethane (R-134a) Trichlorofluoromethane (R-11) Water Xenon — NH3 Ar C6H6 Br2 C4H10 CO2 CO CCl4 Cl2 CHCl3 CCl2F2 CHCl2F C2H6 C2H5OH C2H4 He C6H14 H2 Kr CH4 CH3OH CH3Cl Ne N2 N2O O2 C3H8 C3H6 SO2 CF3CH2F CCl3F H2O Xe Critical-point properties Molar mass, M kg/kmol Gas constant, R kJ/kg · K* Temperature, K 28.97 17.03 39.948 78.115 159.808 58.124 44.01 28.011 153.82 70.906 119.38 120.91 102.92 30.070 46.07 28.054 4.003 86.179 2.016 83.80 16.043 32.042 50.488 20.183 28.013 44.013 31.999 44.097 42.081 64.063 102.03 137.37 18.015 131.30 0.2870 0.4882 0.2081 0.1064 0.0520 0.1430 0.1889 0.2968 0.05405 0.1173 0.06964 0.06876 0.08078 0.2765 0.1805 0.2964 2.0769 0.09647 4.1240 0.09921 0.5182 0.2595 0.1647 0.4119 0.2968 0.1889 0.2598 0.1885 0.1976 0.1298 0.08149 0.06052 0.4615 0.06332 132.5 405.5 151 562 584 425.2 304.2 133 556.4 417 536.6 384.7 451.7 305.5 516 282.4 5.3 507.9 33.3 209.4 191.1 513.2 416.3 44.5 126.2 309.7 154.8 370 365 430.7 374.2 471.2 647.1 289.8 Pressure, MPa Volume, m3/kmol 3.77 11.28 4.86 4.92 10.34 3.80 7.39 3.50 4.56 7.71 5.47 4.01 5.17 4.48 6.38 5.12 0.23 3.03 1.30 5.50 4.64 7.95 6.68 2.73 3.39 7.27 5.08 4.26 4.62 7.88 4.059 4.38 22.06 5.88 0.0883 0.0724 0.0749 0.2603 0.1355 0.2547 0.0943 0.0930 0.2759 0.1242 0.2403 0.2179 0.1973 0.1480 0.1673 0.1242 0.0578 0.3677 0.0649 0.0924 0.0993 0.1180 0.1430 0.0417 0.0899 0.0961 0.0780 0.1998 0.1810 0.1217 0.1993 0.2478 0.0560 0.1186 *The unit kJ/kg · K is equivalent to kPa · m3/kg · K. The gas constant is calculated from R  Ru /M, where Ru  8.31447 kJ/kmol · K and M is the molar mass. Source: K. A. Kobe and R. E. Lynn, Jr., Chemical Review 52 (1953), pp. 117–236; and ASHRAE, Handbook of Fundamentals (Atlanta, GA: American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., 1993), pp. 16.4 and 36.1. 916 Çengel−Boles: Thermodynamics: An Engineering Approach, Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies, 2008 Table A−2 Ideal−gas specific heats of various common gases Appendix 1 | 911 TABLE A–2 Ideal-gas specific heats of various common gases (a) At 300 K Gas Formula Air Argon Butane Carbon dioxide Carbon monoxide Ethane Ethylene Helium Hydrogen Methane Neon Nitrogen Octane Oxygen Propane Steam — Ar C4H10 CO2 CO C2H6 C2H4 He H2 CH4 Ne N2 C8H18 O2 C3H8 H2O Gas constant, R kJ/kg · K 0.2870 0.2081 0.1433 0.1889 0.2968 0.2765 0.2964 2.0769 4.1240 0.5182 0.4119 0.2968 0.0729 0.2598 0.1885 0.4615 cp kJ/kg · K cv kJ/kg · K k 1.005 0.5203 1.7164 0.846 1.040 1.7662 1.5482 5.1926 14.307 2.2537 1.0299 1.039 1.7113 0.918 1.6794 1.8723 0.718 0.3122 1.5734 0.657 0.744 1.4897 1.2518 3.1156 10.183 1.7354 0.6179 0.743 1.6385 0.658 1.4909 1.4108 1.400 1.667 1.091 1.289 1.400 1.186 1.237 1.667 1.405 1.299 1.667 1.400 1.044 1.395 1.126 1.327 Note: The unit kJ/kg · K is equivalent to kJ/kg · °C. Source: Chemical and Process Thermodynamics 3/E by Kyle, B. G., © 2000. Adapted by permission of Pearson Education, Inc., Upper Saddle River, NJ. Çengel−Boles: Thermodynamics: An Engineering Approach, Sixth Edition 912 | Appendix 1: Property Tables and Charts (SI Units) 917 © The McGraw−Hill Companies, 2008 Table A−2 Ideal−gas specific heats of various common gases Thermodynamics TABLE A–2 Ideal-gas specific heats of various common gases (Continued) (b) At various temperatures Temperature, K 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 cp kJ/kg · K cv kJ/kg · K k Air 1.003 1.005 1.008 1.013 1.020 1.029 1.040 1.051 1.063 1.075 1.087 1.099 1.121 1.142 0.716 0.718 0.721 0.726 0.733 0.742 0.753 0.764 0.776 0.788 0.800 0.812 0.834 0.855 cp kJ/kg · K 14.051 14.307 14.427 14.476 14.501 14.513 14.530 14.546 14.571 14.604 14.645 14.695 14.822 14.983 9.927 10.183 10.302 10.352 10.377 10.389 10.405 10.422 10.447 10.480 10.521 10.570 10.698 10.859 k Carbon dioxide, CO2 1.401 1.400 1.398 1.395 1.391 1.387 1.381 1.376 1.370 1.364 1.359 1.354 1.344 1.336 0.791 0.846 0.895 0.939 0.978 1.014 1.046 1.075 1.102 1.126 1.148 1.169 1.204 1.234 Hydrogen, H2 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 cv kJ/kg · K 1.416 1.405 1.400 1.398 1.398 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.385 1.380 0.602 0.657 0.706 0.750 0.790 0.825 0.857 0.886 0.913 0.937 0.959 0.980 1.015 1.045 1.314 1.288 1.268 1.252 1.239 1.229 1.220 1.213 1.207 1.202 1.197 1.193 1.186 1.181 cp kJ/kg · K 0.742 0.743 0.744 0.747 0.752 0.759 0.768 0.778 0.789 0.801 0.813 0.825 0.849 0.870 k Carbon monoxide, CO 1.039 1.040 1.043 1.047 1.054 1.063 1.075 1.087 1.100 1.113 1.126 1.139 1.163 1.185 Nitrogen, N2 1.039 1.039 1.041 1.044 1.049 1.056 1.065 1.075 1.086 1.098 1.110 1.121 1.145 1.167 cv kJ/kg · K 0.743 0.744 0.746 0.751 0.757 0.767 0.778 0.790 0.803 0.816 0.829 0.842 0.866 0.888 1.400 1.399 1.398 1.395 1.392 1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335 Oxygen, O2 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.382 1.376 1.371 1.365 1.360 1.349 1.341 0.913 0.918 0.928 0.941 0.956 0.972 0.988 1.003 1.017 1.031 1.043 1.054 1.074 1.090 0.653 0.658 0.668 0.681 0.696 0.712 0.728 0.743 0.758 0.771 0.783 0.794 0.814 0.830 1.398 1.395 1.389 1.382 1.373 1.365 1.358 1.350 1.343 1.337 1.332 1.327 1.319 1.313 Source: Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), p. 783, Table A–4M. Originally published in Tables of Thermal Properties of Gases, NBS Circular 564, 1955. 918 Çengel−Boles: Thermodynamics: An Engineering Approach, Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies, 2008 Table A−2 Ideal−gas specific heats of various common gases Appendix 1 | 913 TABLE A–2 Ideal-gas specific heats of various common gases (Concluded) (c) As a function of temperature _ cp  a  bT  cT 2  dT 3 (T in K, cp in kJ/kmol · K) Substance Nitrogen Oxygen Air Hydrogen Carbon monoxide Carbon dioxide Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia Sulfur Sulfur dioxide Sulfur trioxide Acetylene Benzene Methanol Ethanol Hydrogen chloride Methane Ethane Propane n-Butane i-Butane n-Pentane n-Hexane Ethylene Propylene Formula a b 0.1571 1.520 0.1967 0.1916 c 102  102  102  102 N2 O2 — H2 28.90 25.48 28.11 29.11 CO 28.16 CO2 H2O NO N2O 22.26 5.981  32.24 0.1923  29.34 0.09395  24.11 5.8632  NO2 NH3 S2 22.9 27.568 27.21 SO2 25.78 SO3 C2H2 C6H6 CH4O C2H6O HCl CH4 C2H6 C3H8 C4H10 C4H10 C5H12 C6H14 C2H4 C3H6 0.8081 0.7155 0.4802 0.4003 % error Temperature range, K Max. Avg. d 105  105  105  105 2.873 1.312 1.966 0.8704     109 109 109 109 273–1800 273–1800 273–1800 273–1800 0.59 1.19 0.72 1.01 0.34 0.28 0.33 0.26 0.1675  102 0.5372  105 2.222  109 273–1800 0.89 0.37 102 102 102 102 3.501  105 1.055  105 0.9747  105 3.562  105 7.469 3.595 4.187 10.58 109 109 109 109 273–1800 273–1800 273–1500 273–1500 0.67 0.53 0.97 0.59 0.22 0.24 0.36 0.26 5.715  102 2.5630  102 2.218  102 3.52  105 0.99072  105 1.628  105 7.87  109 6.6909  109 3.986  109 273–1500 273–1500 273–1800 0.46 0.91 0.99 0.18 0.36 0.38 5.795  102 3.812  105 8.612  109 273–1800 0.45 0.24     102 102 102 102 102 11.20 6.527 31.57 1.22 10.38      105 105 105 105 105 32.42 18.21 77.62 8.039 20.05      109 109 109 109 109 273–1300 273–1500 273–1500 273–1000 273–1500 0.29 1.46 0.34 0.18 0.40 0.13 0.59 0.20 0.08 0.22 30.33 0.7620  102 19.89 5.024  102 6.900 17.27  102 4.04 30.48  102 3.96 37.15  102 7.913 41.60  102 6.774 45.43  102 6.938 55.22  102 3.95 15.64  102 3.15 23.83  102 1.327 1.269 6.406 15.72 18.34 23.01 22.46 28.65 8.344 12.18           105 105 105 105 105 105 105 105 105 105 4.338 11.01 7.285 31.74 35.00 49.91 42.29 57.69 17.67 24.62           109 109 109 109 109 109 109 109 109 109 273–1500 273–1500 273–1500 273–1500 273–1500 273–1500 273–1500 273–1500 273–1500 273–1500 0.22 1.33 0.83 0.40 0.54 0.25 0.56 0.72 0.54 0.73 0.08 0.57 0.28 0.12 0.24 0.13 0.21 0.20 0.13 0.17 16.40 21.8 36.22 19.0 19.9 14.58 9.2143 48.475 9.152 20.96      Source: B. G. Kyle, Chemical and Process Thermodynamics (Englewood Cliffs, NJ: Prentice-Hall, 1984). Used with permission. Çengel−Boles: Thermodynamics: An Engineering Approach, Sixth Edition 914 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies, 2008 Table A−3 Properties of common liquids, solids, and foods 919 Thermodynamics TABLE A–3 Properties of common liquids, solids, and foods (a) Liquids Boiling data at 1 atm Substance Normal boiling point, °C Ammonia 33.3 185.9 80.2 Latent heat of vaporization hfg , kJ/kg 1357 Freezing point, °C 77.7 189.3 5.5 Latent heat of fusion hif , kJ/kg 322.4 Argon Benzene Brine (20% sodium chloride by mass) n-Butane Carbon dioxide Ethanol Ethyl alcohol Ethylene glycol Glycerine Helium Hydrogen Isobutane Kerosene Mercury Methane 103.9 0.5 78.4* 78.2 78.6 198.1 179.9 268.9 252.8 11.7 204–293 356.7 161.5 — 385.2 230.5 (at 0°C) 838.3 855 800.1 974 22.8 445.7 367.1 251 294.7 510.4 17.4 138.5 56.6 114.2 156 10.8 18.9 — 259.2 160 24.9 38.9 182.2 109 108 181.1 200.6 — 59.5 105.7 — 11.4 58.4 Methanol Nitrogen 64.5 195.8 1100 198.6 97.7 210 99.2 25.3 124.8 306.3 57.5 180.7 218.8 13.7 187.7 80.0 Octane Oil (light) Oxygen Petroleum Propane 183 — 42.1 Refrigerant-134a 26.1 Water 100 161.6 394 Freezing data 212.7 230–384 427.8 217.0 2257 96.6 0.0 28 126 — 80.3 — 333.7 Liquid properties Temperature, °C Density r, kg/m3 Specific heat cp, kJ/kg · K 33.3 20 0 25 185.6 20 682 665 639 602 1394 879 4.43 4.52 4.60 4.80 1.14 1.72 20 0.5 0 25 20 20 20 268.9 252.8 11.7 20 25 161.5 100 25 195.8 160 20 25 183 20 42.1 0 50 50 26.1 0 25 0 25 50 75 100 1150 601 298 783 789 1109 1261 146.2 70.7 593.8 820 13,560 423 301 787 809 596 703 910 1141 640 581 529 449 1443 1374 1295 1207 1000 997 988 975 958 3.11 2.31 0.59 2.46 2.84 2.84 2.32 22.8 10.0 2.28 2.00 0.139 3.49 5.79 2.55 2.06 2.97 2.10 1.80 1.71 2.0 2.25 2.53 3.13 1.23 1.27 1.34 1.43 4.22 4.18 4.18 4.19 4.22 * Sublimation temperature. (At pressures below the triple-point pressure of 518 kPa, carbon dioxide exists as a solid or gas. Also, the freezing-point temperature of carbon dioxide is the triple-point temperature of 56.5°C.) 400 2.97 2.09 921 1650 2600 545 1100 1150 1520 1500 721 513 1.6 0.08 3.009 0.440 0.797 0.95 1.77 1.400 2110 1922 2300 2300 1000 2420 2700 2230 2500 2700 800 0.86 3. solids.86 — 2. soft (fir.86 2.8 0.840 0.99 2.2 0.920 0. 35% Zn) Copper 173°C 100°C 50°C 0°C 27°C 100°C 200°C Iron Lead Magnesium Nickel Silver Steel.56 1.902 0. Water content and freezing-point data of foods are from ASHRAE.85 1. cp kJ/kg · K Nonmetals Aluminum 200 K 250 K 300 K 350 K 400 K 450 K 500 K Bronze (76% Cu.01 2.01 317 294 291 261 214 277 311 301 314 214 311 Source: Values are obtained from various handbooks and other sources or are calculated.79 0. 2008 Table A−3 Properties of common liquids.5 — 0.6 2. etc. and foods (Concluded ) (b) Solids (values are for room temperature unless indicated otherwise) Density.96 3.890 10.6 — 10. .01 1.128 1. r kg/m3 Substance Specific heat.6 5.470 7. kJ/kg · K Food Lettuce Milk.65 1.04 1.77 1.2 2. and foods Appendix 1 | 915 TABLE A–3 Properties of common liquids.04 1.840 2.52 3.920 Çengel−Boles: Thermodynamics: An Engineering Approach.017 1.711 1.) 0.95 1.800 1.310 1.500 0.11 0.960 0.8 0.78 1.38 (c) Foods Specific heat. Freezing point is the temperature at which freezing starts for fruits and vegetables.71 1.381 0.280 0.900 7.1 0. Inc. 2% Zn.400 8.8 2. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.254 0.02 1.909 0.130 8.653 0.62 3. % (mass) 84 75 67 90 16 39 80 74 74 74 63 Latent heat of Freezing Above Below fusion. hard (maple.4 4.79 3.33 1. and the average freezing temperature for other foods.02 3.32 3.68 1. fireclay (500°C) Concrete Clay Diamond Glass. etc.800 0.82 1.32 3.2 0.15 3. swiss Cherries Chicken Corn.65 3. mild Tungsten 8. SI version (Atlanta.730 8.840 11.8 0. solids.6 3.403 0.997 0.616 0.96 2. point. Handbook of Fundamentals.000 0.. sweet Eggs.63 281 251 224 301 53 130 267 247 247 247 210 Specific heat.393 0. pine. pyrex Graphite Granite Gypsum or plaster board Ice 200 K 220 K 240 K 260 K 273 K Limestone Marble Plywood (Douglas Fir) Rubber (soft) Rubber (hard) Sand Stone Woods.880 1.920 0.800 0. 1993). ripe Turkey Watermelon Water content.98 3.) Woods. whole Oranges Potatoes Salmon fish Shrimp Spinach Strawberries Tomatoes. kJ/kg · K Food Apples Bananas Beef round Broccoli Butter Cheese.0 1.3 0. whole Ice cream Water content.342 0.949 0.386 0.35 3.973 0. 2% Al) Brass.98 3.77 1.89 2. °C Above freezing Below freezing Latent heat of fusion.21 1. window Glass.367 0.830 19. yellow (65% Cu.97 1. Table 1. Refrigerating and Air-Conditioning Engineers.65 2. Chapter 30. °C freezing freezing kJ/kg 1.8 — 0. oak.90 1.94 1. cp kJ/kg · K Metals Density. GA: American Society of Heating.310 0.75 3.45 2.6 0. common Brick.45 0. kJ/kg 0.859 0. % (mass) 95 88 87 78 64 83 93 90 94 64 93 Freezing point.700 Asphalt Brick.929 0. r kg/m3 Substance Specific heat.26 1.32 2.235 0. 8371 6.1901 5.16 272.001026 0.3542 7.2952 7.3851 9.23 700.1 2519.5816 1.9319 5.4 2691.7392 1.8924 1.9 2360.8296 7.9 1959. Psat kPa 0.5 2555.8827 150 155 160 165 170 476.3 2506.7927 6.2469 5.5841 6.39248 0.1346 1.001015 0.8313 0.0 2500.49 618.02 763.0 2082.4 2582.6832 7.0360 0.2245 0.23 270. hg Sat.01 5 10 15 20 25 30 35 40 45 Internal energy.8 2617.5447 6.0 2369.9 2117.22 361.001023 12.1 2563.32 77.9082 7.6872 1.7 2449.8 2586.0 2394.19 807.4 2219.50850 0.9923 2.5335 4.00 2161.7989 8.597 47.0 2065.9953 4.001070 0.5 2402.2 2276.38 567.14089 0.1 2675.1 1783.2556 8.4678 6.3 2129.2 1996.8 2767.000 21.3 2455.9808 313.022 62.4151 100 105 110 115 120 101.3634 1.18 198.001102 0.9 1802.043 31.3392 0.8261 2.34648 0.001012 0.4782 7.3919 5.9 2025.0763 0.7143 4.6233 6.001010 43.08 2113.2 1977..4 0.3 2528..02 356.4089 6.0906 2.18 0.5279 6.6 2554.19 2009.6661 3.340 32.7908 5. vapor.3 1893.1291 3.0265 6.6 2634.66808 0.7 2429.6242 6.9426 1.9 0.001091 0.001001 0.7488 8.4 2436.2 2528.0 2261.Çengel−Boles: Thermodynamics: An Engineering Approach.5 2559.6 2706.43 2304.515 15.1 104.5 2739.8466 7.1292 125 130 135 140 145 232.2355 2.1 314.60 2087.4956 5.53 188.020 42.28 461.7 2159.92 783.416 57.42 482.001002 206.1 2477.46 718.44600 524.9294 6.4053 2.78 852.4 2374.001141 0.73 146.4448 4.1 2726.7 2579.6812 7.2 741.75 589.79 675.001065 0. vapor..6 2332.8 2388.7038 0.89133 419.001052 0.17390 0.001000 0.001040 4.9 2517.9898 7.96 376.1 2173.18 850.2831 2.001047 0.3 2600.6 2564.7067 6.5051 0.33 230.60 1002.0 2546.8193 5.001114 0.9 2510.0417 4.3 2537.8 2745.001036 0.026 9.7 2523.3 2290.5 2269.2504 6.04 2233.0249 8.26 2031.609 0.9 2751.24 251.2705 4.0756 1.6117 0.4 525.8 2357.64 2188.66 653.762 0.16 543.77 610. liquid.8066 4. press.2 2713.0748 7.1556 8.12 293.001108 0.3 2146.81 2256.205 19.8 2346.9 2422.1895 8.0 2589.9 419.0 1875.4 1820.1698 4.5 1255.27244 0.8 2442.6386 8.1392 2.8 1554.18 272.2 2534.7 2777.0000 0.7540 75 80 85 90 95 38. hf Evap.001043 0.1511 0.5059 6.9487 8.001032 0.3 1960.001075 0.183 84.90 143.42 503.7 2345.2965 9. vg Sat.0 1939.99 334.83 125.001006 0.0 1763.2901 5. vf Sat.0 2591.6346 1.8 2571.001134 0.0919 7.7092 5.2382 7.8999 8. liquid.9 2381.0 2591.6720 1.6 2667.4520 8. kJ/kg · K Sat.97 355.001029 0.6 2683.7 2014.8 2792.982 83. kJ/kg Entropy.7492 6.4 1977.83 125.83 546.001060 1.001000 0.3072 1.5559 8.6 2048. ufg Sat.6 2308.001080 0.4 2468. ug Sat.6013 7.251 104.0 2475.91 806.44 2441.3710 7.763 19.5 1993.8937 0.5 2500.3517 8.00 147.2853 6.0158 1.9 2575.885 57.04 398.4186 1.001000 0.93 792.41 588.6 2131.3 2175.02 761.5355 6.0 1.001008 0.1829 7.001017 0.4 2333.0 2295.6 2643.879 25.6 2487.1875 2.47 697.001127 0.5 2567.4 2659.5953 0.12721 740.1929 1.980 83.6 2573.9 2462.4368 0. vapor.18 653.42 120.7 2395.3 0.0 2071.8418 1.63 167.1556 9.9 209.03 335.24 719.1847 4.5724 0.001149 0.4 2453. Sat.2 2465.59 503.6 1743.5 2318.0 2102.0769 6. uf Evap.06 440.7 2594.3572 4. 2008 Table A−4 Saturated water — Temperature table Thermodynamics TABLE A–4 Saturated water—Temperature table Specific volume.16 610.8 1123.8 2757. m3/kg Temp.4 1857.0 2511.7 2409.9773 6.913 2374.02 377. hfg Sat. kJ/kg Enthalpy.2 2781.17 440.46 1839.07 2382.1 2204.38 169.05 785.0 2651.5 2762.00 828.09 293.1 2415.8 2417.19384 0.67 0.352 15.4737 1.03 106..0 2.4 2785. T °C Sat.68 0.9 1.97 398.3672 0.9 1944.8 2772.5567 8.77012 0.09 2320.1 2144.5 2544.6655 6.26 251.9 2733.3 2788.868 70.4 0.2 1398.0152 7.6 1.7 2190.74 146.43 829.24260 631.21659 0. vapor.7 2549.53 188.7680 0.7 2216.8 2098.15636 0.6670 6.1 2608.202 0.6291 7.5435 7.2094 1.27 482.001020 0.947 25.001 21.001085 0.64 167.7 632. liquid.915 2500.001157 0.6111 7.2218 7.9360 6.9002 4.4 1910.10 567.53 415.7803 8.001121 0.0 2202.3 2282.58179 0.8 2494.0470 5.07 546.3696 9.001003 0.7057 2.2281 1.8 2056.0997 6. liquid.3593 1.020 62.001004 0. Evap.1647 7.34 230.0771 7.001056 0.1935 5.79 696.4 2243.3 2481.30680 0.5247 8.8 1.1 2720.1 2229.019 42.28 313.9 2489.20 1927.4188 1.4 2040.9 2247.9551 7..1 2698.9 2406.5 2626.5639 7.6650 175 180 185 190 195 200 892.8725 1.5 2582.1 0. sf sfg sg 0.0396 209.1633 50 55 60 65 70 12.15 461.3305 4. Sixth Edition 916 | Appendix 1: Property Tables and Charts (SI Units) 921 © The McGraw−Hill Companies.7 2429.3 2539.001096 0.19 674.4302 . 1 1289.601 15. Gallagher. issued by The International Association for the Properties of Water and Steam (IAPWS).3596 3. liquid.2765 5.9489 0.7476 2.02 940.. which is also available in EES as the routine STEAM.2114 0. .0 2645.4 9865.9 1038. Phys.7 1521.0881 1.7018 2.3907 5.0 2802.55 966.7 2334.7 1128.4 1056. 783.1424 6.065300 0.001173 0.2128 6.1 2602.7 1306. Ref.9 1660.9 1202.001384 0.001252 0. hg Sat.7 1037.2 1415.2076 3.9 2603.38 918. T °C Sat.7 526.50 943.0 5946. The properties of ice are based on Hyland and Wexler.7788 1.9 1681.8847 2.5816 5.4326 5.8442 3.054656 0.5 1061.9 1080. Data.922 Çengel−Boles: Thermodynamics: An Engineering Approach.001303 0.9762 3.2548 2.6844 6.86 895.7 2601.5 2563.0 8587.2 3976. A.1 1593.5216 3.9 2773.7 1878.2 1253.6 0 2388.2 2483.7664 3.3 2602.79 963.7 0.2 1844.7 1279.7 2749. 1993).4712 2.6100 2. “Formulations for the Thermodynamic Properties of the Saturated Phases of H2O from 173. ufg Sat.7 1689.0 2739.1 0 2526.4 1366. vg Sat.0 1493.001289 0.9 0. Klein and F.6 2596. Psat kPa 205 210 215 220 225 Internal energy.094680 0.5 1740.001741 355 360 365 370 373.001528 0.001240 0.001560 0.0 1027.61 920.003106 Entropy.6 2549.0 1033.666 19.0017 5.1 1080.0221 3.0 2464.001209 0.8 1153.050085 986.002015 0.6890 0 5.9318 3.4 280 285 290 295 300 6416.011848 0.1979 3...8 1559.014183 330 335 340 345 350 12.1 2796.3 2801.76 1010.4 1238.7179 3.5 945.078405 872.2840 6.4 385.7 1812.2 2.9911 5.5 2443.7 2666.9 2586.2 1726.4 625.8 1857.0004 4.8579 5.4 2598.0 1332. The new formulation is based on the correlations of Saul and Wagner (J.5 1817.0 1387.027756 0.021659 1228.11508 0.0 2. Evap.7898 2.0 1661.6 2793.1 1445.5 1230.3930 6.0 2700.0681 3.6756 1.7933 3.8 2797. sf sfg sg 1920.2 2526. liquid.2 1777.5 443.8009 4.001597 0.7059 1360.7 305 310 315 320 325 9209.5 2015.7 2758.6 2351.5 2789.5 1642.95 17.001685 0.7 2785.9304 2.2942 1.7 1476.2 2418.7 1714. Chem.001895 0. press.7857 1. kJ/kg · K Sat.4405 3.5374 2.004953 0.2788 6.9 1283.1144 3.006950 0.1 1296.1 2015. L.9 1441.001425 0.7 1387.016849 0.6 1236. which incorporates the 1995 Formulation for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use.0 10. Part 2A.0 2802. liquid. liquid.7066 2.9 720.5 2598.8489 3.1 2537.822 21.5 2799.1 3062.0 1761.10429 0.5 1702.9 1443.8 1185.3358 5.9 1495.6 1574.6 2422.7 1605.6 1404. m3/kg Temp.5 2593.7 2105.001366 0.7450 5.9 2803. Phys.4 1835.5 2570.9 2481. 1983.8390 2.001472 0.0154 3.5 1638.556 11. 1987) with modifications to adjust to the International Temperature Scale of 1990.” ASHRAE Trans.001219 0.071505 0.3 2802.3200 6.7 1616. 22.3776 2.9 1159.1384 5.9 2303.4 892.001404 0.5639 4. hfg Source: Tables A–4 through A–8 are generated using the Engineering Equation Solver (EES) software developed by S.4 1373.0358 2.0 1195.15 K to 473.7 706.1775 6. The routine used in calculations is the highly accurate Steam_IAPWS.9 2499.1072 6.9 1264.001447 0.9493 4.9542 2.9 2601. vapor.1 2563.2737 2.5 2555.8 837..7 775. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.6 7441.76 230 235 240 245 250 2797.284 12.001190 0.030153 0.70 1723.032767 1104.8 2576. uf Evap.044 22.4 1594.3 2084.4 963.6 3347.858 13.6 3.3 5503.001164 0.7 1604.8 1543.001349 0.2 1140.6050 3.8 255 260 265 270 275 4322.0 3651.2 2801.015470 0.0 2513.4 2727.1821 2.8944 1358.529 0. vapor.4 2794. 2008 Table A−4 Saturated water — Temperature table Appendix 1 | 917 TABLE A–4 Saturated water—Temperature table (Continued) Specific volume.0721 2600.6028 3.3 2599.003106 1682.6602 3.001263 0.8906 1.4 2581.4 993.3 1110.8 1469.9165 4.1608 3.87 897.15 K.5372 5.001276 0.4422 5. Alvarado. Hemisphere Publishing Co.0369 6.6243 5.4998 2.1 2602. 1984).2 2. This formulation replaces the 1984 formulation of Haar.019932 0.4 0.0 2595.5 1085.001181 0.4 2622.7 2596.9 3.025554 0..14 1013.6225 2.3563 6.0 1431.3994 3.8 2779.1373 0.5516 3.001199 0.010783 0. vapor.086094 0.6 2684. 16.3 1177.002217 0.9 4692.3633 2.5585 1. vapor..5176 2.2 1891.8 2547.038748 0.001229 0.8 7999.2 1510.1 1210.8 1317.707 14.0537 4.2 2084. Data.1 605.009772 0.3 812.9 2715.007872 0.8 1545.2 2803.2 1328.064 0.6657 5.001499 0. and Kell (NBS/NRC Steam Tables.8 1789.5 1765.1 1402.023528 0. ug Sat.001808 0.018333 0.035622 0. kJ/kg Enthalpy.001333 0.6 1462.8 1159.008806 1505.7 1416. Ref.042175 0.7 1537.6 2230.012979 0. vf Sat.3 874.7 2590.3 1907.6 1631.045941 0.6 6914.7 1671.2 2603.3 5085.1 1344.9 2319.7 2766. hf 1724.5 893.051 0.001638 0.4511 5.4491 3.2483 990. Sat.1119 4.7 1263.5 1570.7834 5.3 3.541 16.3 1086.8 1633.8 1715. Chem.3 1525.1 1134.4245 2.3 3.3024 3.0 1899.9305 5.2 1569..5 1191.9662 5.1169 3.4070 Evap. 893. kJ/kg Sat.059707 0.570 18.4908 0.3 1325.3 1121.3 2799.8723 6.4070 1.3506 3.006009 0.1 1475.2 0. Paper 2793. The modifications are described by Wagner and Pruss (J.8210 5.6560 2.001317 0. 27278 696.39 137.40 1875.6 2085.7765 5.24 2065.7 2456.1 487.98 2355.04 120.71873 0.0 1.36 467.3750 1.001111 0.6 2571.5 2451.6717 1.43 573.001070 1..97 105.001000 129. temp.7 2.1 561.1 1964. liquid.7071 2056.5171 5.9623 5.96 289.001081 0.3543 8.81 53.9 2384.0 7.1 1886.001064 0.6481 6.5706 1..23 466.8690 8.0195 4.5 2392.25552 708.0356 4.86 2213.2606 0.60582 0. kJ/kg · K Sat.5 2345.29 45.06 444.0 6.40 271. hf Evap.46 158.4734 8.6738 7.8 2398.1 2505.6 2684.74 191.303 54.2 0.2 251.0 2700.4 2306.65732 486. hg Sat.2 1908.0 2513.6421 8.71 535.1270 7.1 2261.4 2304.1 2245.0 2735.7526 1.9 2539.5 10 15 28.3 2711.75 191.4 2147.8285 4.54 655.1 2325.9 2403. ug Sat.83 161.50 520.5 2624.76 99.44 417.791 28.94 2432.5 1921.87 40.97 127.8320 0.9073 7.79329 0.4 2467.0 2096.9917 6.27 317.1 2738.001073 0.0071 20 25 30 40 50 60.0562 6.001037 0.1 1.5 2419.52422 0.77 670.001010 0.61 99.6 2636.0 697.0 2068.7 2608.01 504.8 2569.31560 0.22 1982.9 2566.4850 1.9650 6.0 2.86 81.1 2557.001001 66.5302 1.97 2111.8916 4. vapor.57 2037.02 17.93 289.1 2372.73 604.8 2052.58 340.7 2024.5765 4.2403 251.4 2724.001088 0.83 155.90 151.97 111.3118 0.8 2574.51 419.24 317.7 2574.3302 8.47 535.2 384.6 2012..5968 5.7593 6.8 2088.424 100.7274 1.0 5.001093 0.2426 6.8970 1.242 0.36 417.5 2315.4 2748.4 2544.2522 8.40 418.5 2335.96 32.6 1956.58 0.41392 0.1 2201.7322 700 750 164.8205 1.6492 0.1191 6.2645 5.1 2282.49133 0.75 168.2 2545.001097 0.6 2191.4 2133.32 0. liquid.7886 6.3800 7.52 136.8 1991.4 2178.98 2484.686 73.06 64.2501 8.1 2533.2222 8.0037 0. ufg Sat.6 2506.7005 1. sg 1.1956 0.1 1973.08 0.2 2338.2 2759.6642 6.9100 5.5 2155.001043 0.2172 1.81 225.71 520.3 0.1716 7.37 1934.8 2540.82 504.49 2204.5 2550.9370 6.9171 6.0 121.001057 0.8955 450 500 550 600 650 147.79 225. P kPa Sat.9 29.3589 7.6072 1.6430 6.001043 0.27 138.6 2190.001003 45.0261 1.670 10.8 2762.89 594.3741 1.001030 7.0 2181.4762 0.1 1. vapor.8932 0. Tsat °C Sat.7894 7.233 14.1 2560.8302 7.5 2158.5 2256.14 640.7 2560.001076 0.09 655.001101 0.00 709.2 2448.09 75.8 2429.5019 7.431 88.8 2075.7549 8.6837 34.5 2743.001067 0.5931 75 100 101.29260 622.5 2529.8 0.6 1865.6408 5.9749 8.4558 7.0 2662.6 2226. hfg Sat.88578 0.8604 1.4337 6.16 669.688 73.8 2407.7675 7.6 2524.9 2693. vg Internal energy.21 123.001014 121.13 2278..2231 175 200 225 250 275 116.75 0.8 2437.7 2716.2 2172.001008 0.2 2087.001017 0.11 572.54 2357. kJ/kg Entropy.1645 5.19 0.98 0.08 548.7 2532.0476 5.0 2675. liquid.001005 0.3200 5.7153 6. vapor.6865 5.7699 6.001084 0.9 1.7 2563.75 168.9441 1.0 2257.23 0.4 2222.0 2462.001022 0.97 0.86 141.0 2405.1 2414.34261 0.9 2617.2128 5.001104 0. uf Evap.1059 0.9 2728.7 2001. sf Evap.9402 6.4 623.3545 7.65 639.2287 3.Çengel−Boles: Thermodynamics: An Engineering Approach.0510 7.9 2513.08 24.001002 54.3 2318.1 2459.654 29.1488 8.4 2756.8561 6.50 21.95 444.5763 0.4 2470.001026 0.66 2163.30 143.990 0.3069 1. vapor.0207 300 325 350 375 400 133.7 2140.37483 0.93 2293.84 583.1594 384.5 2240.4453 5.3938 8.0 2443.26 594.4621 8.35 548.2 2706. 2008 Table A−5 Saturated water — Pressure table Thermodynamics TABLE A–5 Saturated water—Pressure table Specific volume.4 2765. sfg Sat.8207 6.7 2524.32 604.0912 7.422 100.6691 7.9933 3.5 3.38 684.3 2392.9176 7.8 2142.96 69.9918 4.9 2598.001020 0.302 54. kJ/kg Enthalpy.08 2120.8 1897.325 125 150 91.9603 4.0 2519.433 88. vf Sat.0752 6.001079 0.001004 0.6941 1.185 19.5 2720.6 2732.2841 7.3 2108.39 137.2034 5.1 2752.001108 0.9 2548.3 2553.4 2675.8 1.0525 7.9 2553.2132 1.001001 87.5 2.62 340.6 1.19 584.4996 7..3028 1.001053 2.4224 0.964 0.6 1948. m3/kg Press.6734 1.46242 561.97 13.8234 6.0877 7.3 2423. Sixth Edition 918 | Appendix 1: Property Tables and Charts (SI Units) 923 © The McGraw−Hill Companies.41 130.95 167.3 2496.9 2543.9308 1.1 2645. liquid.56199 0.35 0.001048 0.6314 8.020 .001061 0.7227 8.8270 8.42 271.2 2536.61 0.72 683.3 2483.0 2583.7 2476. 0 2405.9737 5. m3/kg Internal energy.4 1585.8 2581.008374 1511.9 2591.8 1864.1071 4.5029 2.000 20.0 2.0 1610.3603 3.5705 4.3735 4.007504 0.14078 0.2 1776.0 1713.2 2798. kJ/kg Entropy.9 1690.5 1622.8 2233.5005 1.7 675.6 1985.1 2496.001840 0.29 0.5 450.4 1750.94 275.6 1951.5373 2.7 1570.014264 1306.6 1888.9 1473.011487 0.22690 0.96 844.4070 .057061 0.0 391.001770 0.3 1785.6 1693.001610 0.99 361.003106 0.0 2577.9310 4.4939 13.35 842.002038 0.2159 2.079952 958.9 2795.6 2581.2835 2.001118 0.1287 6.0275 3.0457 2.1 2758.8902 5.002703 0.4430 1750 2000 2250 2500 3000 205.2496 0 5.5 2545.8 2794.7 2432.5217 6.6409 6.4467 2.0530 2.1 908.3709 5.7005 0.6 2768.3844 2.064 356. uf Evap.7 1790.4 2780.08 324.5 1207.7 2015.0 2603.00 741.16 2599.21489 0.06 187.1 2.2 2294.3728 5.38 218..1 1205.001352 0.82 1805.005862 0. sg 800 850 900 950 1000 170.8 1267.2 2.0860 0.6616 6.96 191.9 1958.039448 0.2 2784.027378 1045.4 2514.9 140.6 1041.020489 0.00 318. sf Evap.5 2587.032449 0.9 2579.6213 6.003644 0.5 2038.001384 0.3 3.16 347.6 2772.9207 3.5 2596.7 878.9 1776.8923 3.47 2600.95 0.000 16. liquid.96 813.0 1667.3925 2.9 509.1245 1.41 172.4 161. liquid.6 2477. kJ/kg · K Press.4862 4.6454 4.000 295.51 2047.95 233.67 342.001144 0.2 585.9 2725. vapor. vg Sat.0 1264.6 2.0 1049.015988 0.0 1557.9 1505.74 762.2466 5.5 2558.7461 3. kJ/kg Enthalpy.67 761.7 2742. hg Sat.6 2084.3 1448.001166 0.924 Çengel−Boles: Thermodynamics: An Engineering Approach.33 814.006677 0.54 0. ug Sat.000 21.000 19.001127 0.0 2589.4 3.3 2800.3 809.4964 2.4 2576.000 12.3 1649.8 2593.088717 933.001526 0.4 781.88 0.4470 6.0 1350.8148 8000 9000 10.19436 719.001154 0.6 1660.10 828.001319 0.2 2777.1 1889.012781 0. liquid.004994 0.0 2601.3058 4.2556 2.5 2801.9 1384. Tsat °C Sat.3 1317.15119 0.75 369.001149 0.2077 3.001235 0.9 1838.66 179.0705 2..3108 5..9 936.8720 3.47 365.8 2773.001252 0.5 2022.1 2455.9 2581.6261 1.7 1732.8 1096.1 1323.1 1829.8082 1.1 2084.1 857.56 752. P kPa Sat.56 250. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.97 731.1220 3.5 1639.8 1763.018028 0.010341 0.4 2662.0 1548.83 373.7 2637.4 1531.7016 3.6159 5.5850 1100 1200 1300 1400 1500 184.3 1433.7450 5.8076 4.001488 0.5 928.023525 0.2 2802. sfg Sat.0 2011.7 870.35 263.0 2412.8 720.001926 0. vapor.001418 0.001197 0.001657 0.0 2466.099587 906.4 2015.2 985.01 303.7926 3.000 14.87 2603.55 751.4070 1.9 2791.4 1148.000 330.2731 3.7 2783.066667 1004.9164 0.0696 5.3 777.1381 4..6927 6.3 1067.6 1256.1791 18.6232 3. temp.4299 3.5520 6. 2008 Table A−5 Saturated water — Pressure table Appendix 1 | 919 TABLE A–5 Saturated water—Pressure table (Continued) Specific volume.8 0 2375.5 931.3 1917.4 1082.5402 6.0033 3.7966 2.5 2706.20411 0.24035 0.2866 3.2942 4.7 1087.000 22.2 1491.1 1846.13171 779.04 198.59 829.4 745.78 796.1244 6.3390 6.1 2338.3 2582.72 212.7497 1.8730 1.4 1154.8 2589.12 0.5273 4.6160 4.1 1194.6 1821.21 2602.6848 3.001452 0.2343 1.000 17..8 1450.6 1379.1 961. hf Evap.1166 2.5439 4.35 177.001187 0.6791 5.2954 6.2428 4.8 2030.3 1317.85 0.5 2788.12 0.59 285.4 1971.009312 0.8 1826.001124 0. vapor.36 352.7253 2.7 2800.68 0.83 0.0 2339.0 2547.7 2597.049779 0.85 336.3 1643.8 1258.35 311.2 2530.7 1407.3 1131.001286 0.3877 6.9396 4.17745 0.3991 3.0256 4.5542 2.11344 876.000 15.39 1856.5 2092.9 598.95 742.2 1008.4336 5.5 1753.001138 0.1 1794.6 1519. vapor.87 731.3 2685.9 1946.1 1363.3 1840.6 1720.55 1999.9 1393.87 0.0146 4.0 2775.8 1841.001566 0.001115 0.000 11.3143 4.6027 6.1856 3500 4000 5000 6000 7000 242.8 689.9 2803.60 195.16326 0.4 2014.001710 0. liquid.0941 2.5 1213.002207 0.1840 4.6 1151.03 798.2558 6.1 1740.7 3.4 1571.94 175.5 0 2510.2508 2.1064 5.41 223.001121 0.9 2610.001177 0.71 373.6 2585.3 2770. ufg Sat.1785 2.4675 6. vf Sat.5544 5.9975 5.000 22.4936 6.2 1598. hfg Sat.4 2172.8627 2.3 1441.001133 0.003106 1699.0 1000.3 2570.29 0.001217 0.5606 3.8 2786. 8 7.5209 2511.65004 1.3271 3704.8185 9.6626 9.0362 9.6 4641.6094 9.6616 6.4 3665.6 5412.2 7.5655 4.527 54.08049 1.50186 0.87535 1.52261 0.9813 9.7102 9.6704 10.34139 1.8429 P  0.5 2585.4 3856.95986 1.670 14.9274 9.46242 0.373 67.8 4055.3 3706.6 10.31560 0.0 9.3 3480.2 4641.8941 3277.35212 0.13309 1.6 3855.680 40.2725 4642.7 3706.32416 0.35298 1.0 4054.2090 9.0 2735.7 7.7 2643.3 3856.7 4054.6 3479.8497 5150.6955 1.0 4158.2 4686.5180 3069.39390 0.8 2950.2 3131.0 3479.6 7.70656 2.8 3301. v m3/kg u kJ/kg h kJ/kg s kJ/kg  K P  0.56011 0.41°C) 0.8883 10.063 35.4 4398.1698 5150.42503 0.5 3703.9 3162.9 4687.8 4686.4 3056.5 8.4 2805.3 9.80 MPa (170.2 7.3898 9.12152 1.2 3855.1 10.6624 5150.8240 9.54934 1.0 3663.6 2748.296 44.2 3267.5 3076.29321 0.1 7.2 2733.5 3702.0279 4.1724 2.4137 5.03155 1.0041 8.0402 7.4598 4642.71095 0.7395 8.78142 2.59200 0.79645 0.3589 P  0.6 3303.2725 7.81°C)* Sat.9 2661.47550 2.7 4055.4 4686.5 2783.10 MPa (99.0346 3074.3396 9.6 3663.1 7.1 2768.7 3280.9683 7.0 8.01302 2.2 3302.3562 4.8 2639.8 4470.3568 8. Sixth Edition 920 | Appendix 1: Property Tables and Charts (SI Units) 925 © The McGraw−Hill Companies.95824 2.23730 1.4187 3.40 MPa (143.7 3477.8 2976.7 5413.9 4055.2 2582.66976 0.1 2715.2236 3487.60 MPa (158.9 2658.5081 2971.19890 1. 2008 Table A−6 Superheated water Thermodynamics TABLE A–6 Superheated water T °C u kJ/kg v m3/kg h kJ/kg s kJ/kg  K P  0.7 8.3504 5413.1833 7.11226 2.Çengel−Boles: Thermodynamics: An Engineering Approach.4 4396.2 3075.0189 9.8177 7.7100 3072.2029 P  0.9 6.4132 11.4 2881.3 4157.2 2645.89696 0.6 3298.9003 8.3 3927.63402 0.1 3273.9 3132.2 4642.8 6.4062 2.3544 8.8280 11.8755 6.9 2592.37483 0.1270 2769.4 3478.3 4642.35442 0.90179 0.1 2564. † s kJ/kg  K 6.6745 13.2 7.4 9.2 4470.7 2738.7 4687.5132 8.4201 9.7 8.0999 3929.8206 5.3 9.9917 2761.1488 8.8 4469.4 3302.4726 4893.3 2969.97893 1.6953 7.2326 11.3 9.446 31.5 3067.3420 9.1 2577.136 26.5915 3928.9 3129.2695 8.4 2736.77265 0.8345 4159.3 9.2479 4397.0221 4159.8 3483.00558 1.1 2855.30 MPa (133.867 17.3132 2967.0 4470.1 2706.65489 0.3804 7.6 9.2 9.826 24.8 2803.69966 1.7513 12.6 2957.71643 0.9047 10.6 4158.1354 8.8 8.9519 5.6 10.3 5412.8998 10.47088 0.5229 2506.4 8.6 8.8431 5413.81516 2553.2841 6.0 2631.26728 1.3 2883.4056 10.0 2687.4 3484.3 7.59520 0.3000 10.73411 0.9 4396.3 3489.4614 7.9306 7.9 4470.2 4259.2 6.0 2966.49580 1.0347 3486.2 2726.7012 8.7988 7.8429 11.16848 3.2827 9.4489 8.2345 7.6 3062.8 5413.47428 0.5 3128.1338 8.6 2960.0 3064.7956 8.0610 7.5 3927.61°C) 0.60582 0.989 72.1 2811.0 10.47443 0.0577 8.5 4640.8 2961.6 6.5625 .3 2682.8 3478.3 2839.21°C) Sat.63026 Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300 0.08227 1.93755 3.2810 2870.20 MPa (120.4900 4.9 5149.44332 0.4 5149.7 3926.0429 11.5 3854.7 4892.6 2675.0 4395.88578 0.3611 2776.1 3270.4 4054.8 3665.7 3481.7097 8.758 63.6389 3.5 Properties of saturated vapor at the specified pressure.3 3132.9 3303.79197 0.9518 9.9 4396.9 7.7 3856.1 4053.9367 2.8659 9.9 2724.2 8.39938 3.5978 8.0 3130.8828 P  0.17480 1.4580 8.1741 8.05603 1.8 2967.1 3272.6 2968.0 2963.196 19.0 4259.5 2878.1 3925.8 9.05 MPa (81.61°C) 3.32°C) 2483.6 4470.9 7.0 3166.5 2587.8207 7.3 4259.5 8.6 9.1631 10.9800 4893.1 2964.83°C) 2560.8 4258.01 MPa (45.3 4054.43442 0.3 4686.8 9.0 2728.2094 7.5295 9.3794 8.5682 4398. 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300 0.5387 8.9 4641.8362 3705.8897 4.0304 5413.1394 9.26624 2.4 2808.0792 2865.1723 7.5 7.46859 1.143 58.6 3665.24434 2.3 4469.6061 8.3372 6.7793 3928.0 9.6599 4893.80409 0.3 4258.9 5150.88936 1.8 3279.7 9.0605 4397.67619 0.5481 7.3 7.3 3132.2 2850.5452 3488.0157 P  0.2 2801.45214 2529.0 2879.4263 9.7 2660.2605 2675.0 2651.0 5412.50 MPa (151.6 4398.2364 9.5153 3704.7 4893.4 2756.7797 u kJ/kg v m3/kg h kJ/kg P  0.4 2647.6148 2875.4 3701.2 3126.6 2977.8356 2974.9 2797.0 3300.4 10.6893 8.6346 7.3 3700.3 4260.9 2810.7800 4642.2 3856.5735 7.83°C) 0.9 3485.9049 9.3 10.51374 0.52°C) 0.3 2723.6 3301.18672 1.3424 4160.9 4160.6 7.5677 7.7 5150.8 2860.2 3299.80417 1.5 4259.9413 8.9 3855.2 3479.2 2443.1521 9.58414 1.2 9.5931 3.4 2583.8 3480.8955 6.0 3489.9 2807.1 3480.53434 0.† 50 100 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300 14.6 3168.5857 P  0.6 2731.5229 9.6959 1.6941 2505.7037 3275.31623 1.2 3662.35972 1.2 2571.26088 0.0893 8.0 3856.2 2877.4 2780.8 4893.1 2654.5 4687.24035 0.1 3663.6312 10.0 4259.4 4892.1027 3.3740 7.1 2752.2 7.604 2437.98966 1.5 4053.6 2962.4 2721.8 5412.84980 0.4897 10.7 3129.0 4470.0 4686.513 21.6 8.1592 8.42019 2543.7 4160.0 3929.74725 0.8 4687.0 1.8 5150.3 2515.57015 0.2403 *The temperature in parentheses is the saturation temperature at the specified pressure.3 3929.9 3664.2172 3278.9 2964.5 8.90761 2576.4107 7.1 4892.82457 0.21012 2566.61820 0.61731 0.1000 10.1015 9.7 2968.7593 6.6071 9.1566 9.1933 8.4 4470.1 9.1 2812.8 4259.911 49.5 3664.5977 14.6 5149.4 4157.0 8.5 4891.8692 8.38429 0. 7 4046.2359 7.9 2847.8864 7.0 6.6804 5146.6974 8.40111 0.6 7.6 3293.63354 0.18233 0.5 2836.0335 7.6 3658.21105 0.8878 9.14078 0.6 6.1 6.1 3121.8786 .00 MPa (179.2 4637.4 4385.07995 0.20029 0.27941 0.3 4052.17568 0.16420 0.11C) 0.5024 8.1304 8.2 4467.4 7.5 5411.0143 9.09959 0.0 4151.5 3920.1 2798.20750 2624.2028 8.20 MPa (187.33780 0.1384 P  3.4845 7.7 3472.0 3922.23466 0.9 3248.7488 6.20602 0.8 3695.1 2828.25799 0.1791 3850.40 MPa (195.5537 6.7 5145.2834 8.5 3469.7053 8.95C) 2602.3 3118.3 3847.9885 8.7543 8.5103 7.9156 8.7 4257.7595 8.1872 P  3.37C) 2594.9 2927.09919 0.1244 0.7 4684.9 3141.24207 2644.1 7.5 3476.7 4051.48928 0.16326 0.7450 6.4 3296.5587 8.6047 7.10979 0.4897 4887.08118 0.5 2795.09198 0.2 6.4045 8. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.3046 7.5 8.9 4387.9 6.5 6.9 4052.5955 8.08705 0.0074 7.5412 6.2 2852.4675 6.2 3264.5 3659.3458 8.9155 9.7 4256.0349 u kJ/kg h kJ/kg s kJ/kg  K P  1.15460 0.2 8.19007 0.29464 0.6 5147.9 4637.37766 0.10381 0.50 MPa (242.9235 7.0 3104.8 6.30020 0.0 2950.56652 0.1 2604.4965 8.0 5148.3390 2628.5 2939.09938 0.7 4253.1 4392.38614 0.4417 8.6427 8.40341 2597.17988 0.1379 7.7 3909.8428 7.60 MPa (201.3 3919.3 9.5475 2773.9 3457.7 4252.56C) 0.7 2750.8 7.7043 3471.3254 3686.3 2710.21597 0.45247 0.6956 6.06845 0.50 MPa (223.4200 6.3 8.2 4256.3 6.9 3468.9583 2945.7590 7.21782 0.9 3251.3 2762.3 3475.72610 Sat.1 4681.8 2978.7 2875.8 4640.11325 0.19420 0.9 2781.9 3040.4160 2680.2 5147.1 3338.15122 0.16356 0.6855 7.1 3104.19722 0.07063 0.12502 0.1 3258.00 MPa (212.8 2645.6 4889.0 4891.9 2919.3036 P  2.6601 6.4 2836.05706 2603.8 2622.4337 3291.2 7.5 4153.3 3154.9 3473.7 2789.1 3231.1764 6.7 6.13015 0.7 3282.6 6.7 2955.9 3464.17835 0.9553 7.1 3051.31951 0.7 3853.1246 7.04C) 0.0120 7.11150 0.5 2994.2 4886.1057 9.5850 6.7 2957.2 2803.2 3261.9 3150.2022 9.22200 0.3 3661.8 4890.10789 0.6 4051.4 3852.05876 0.30865 0.926 Çengel−Boles: Thermodynamics: An Engineering Approach.2139 7.3 3652.3 6.8 3295.6 8. 2008 Table A−6 Superheated water Appendix 1 | 921 TABLE A–6 Superheated water (Continued) T °C u kJ/kg v m3/kg h kJ/kg s v kJ/kg  K m3/kg P  1.0 4468.2882 4635.9 5147.85C) u kJ/kg v m3/kg h kJ/kg s kJ/kg  K P  1.7 2777.0170 3351.5 5148.2 3112.3 6.24674 0.7 4466.14061 0.4670 7.54083 0.19962 0.1 2857.2 3223.4 4049.6 3146.4 3692.7 3029.5 3467.0 8.1593 7.4 5144.7 6.38C) 0.6 3046.7842 4467.5936 4255.3 4683.1 3474.19549 0.28250 0.1183 8.37297 0.9 4391.6 2856.96C) 0.5 2783.22658 0.24822 0.2 4146.4 2866.19437 0.3793 7.22326 0.06667 2603.4 4632.3925 4050.23275 0.1 4156.7 2698.4107 3009.22029 0.9 2704.7 2869.13293 0.0 4467.3 7.60509 2587.1768 3462.5 3690.7771 8.14190 0.2394 7.1292 3116.2 3024.8246 7.24999 0.4 4391.12012 0.16751 0.1 8.2 5410.7684 2860.6 6.4 2801.2 3108.8 3026.7642 8.2558 2805.5 4885.8331 9. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300 0.0 8.7 2953.6459 3127. 225 250 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300 0.3 4638.9 4155.9456 8.5 3921.48558 0.32606 0.9497 9.16934 0.4357 7.3029 7.0 3654.8 2612.29048 2582.5 3678.4 3660.6 3021.5410 7.12374 0.4825 6.25482 0.8313 7.8618 5409.8101 8.7 7.41933 0.5 4634.8 2777.11620 0.0 3697.13999 0.1 8.6 4684.4 5148.1 2935.0 4685.5 3137.9 2785.6 3470.7 4889.5 4050.9 8.17459 0.36308 2599.58721 0.4 4891.5 3292.52792 0.1814 7.9 6.5979 3915.45383 Sat.14303 0.11678 0.0 2927.12702 0.6 3846.5 4468.4 2933.0713 7.6088 6.49438 0.18087 0.4 2793.2 4638.3 2943.0 4639.2418 P  2.9 5411.3 3656.15931 0.6779 7.8 2663.0856 7.9654 4684.00 MPa (233.39589 0.16849 0.4593 P  1.9 2803.0 3297.3324 8.19551 0.9502 0.7 2738.11037 0.8 2844.5 9.9 3125.6 3035.41184 0.35411 0.1 5411.0 2829.0558 8.8 2816.0744 4389.4176 8.2 3682.80 MPa (207.5909 6.6 2948.2 2911.6753 6.2 3016.9265 7.9509 3658.8424 3240.9 6.2629 2880.9 3693.09894 0.3775 6.6 3924.14025 0.28597 0.5 3479.1 4394.14841 0.7 3344.2284 8.5 3123.2755 8.4 4152.15866 0.15410 0.3 2637.3750 P  1.35188 0.07680 0.6 4890. 225 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300 0.3 3661.13245 0.2 7.25216 0.0689 9.27190 0.1 3474.4 2863.35288 0.7 4257.8 2602.0212 9.7150 8.0005 8.3 4682.08456 0.8 5410.8 3912.12551 0.9 4047.21386 0.1 2788.8730 8.9 4469.8 2692.6 4464.2866 9.13860 0.30661 0.42488 0.0 6.3 3477.1 3472.27426 0.08026 0.1 3698.51866 2591.7 4154.6 4465.1856 0.33395 0.2 6.0 2802.8 3254.29342 0.5 4144.3 2903.0 2686.8455 4149.8 7.0311 8.1 8.8 3851.33989 0.8310 9.9 3120.2893 6.3 3116.8 5408.23455 0.6 3285.4484 6.3 4393.45059 0.88C) Sat.0 4254.67983 0.2 4257.3 3852.7 4685.1 5408.36687 0.9 6.2 3849.5236 8.09056 0.31667 0.5217 6.3 5410.6303 8.5 3451.2 4394.8 2792.8 3288.1904 8.0 3853.25330 0.7 2872.7 3918.27012 0.4975 6.6 3158.44783 0.3 4685.1308 9.19241 0. 8164 P  6.6 2885.4925 P  12.4 2920.0 5.6 5.0 3674.5153 6.7 5398.9 4676.05887 0.0289 8.0 MPa (285.0 3276.9 3906.3127 7.4 3670.2854 6.0 MPa (303.13592 0.2229 7.3 4140.6 4679.6 4032.4 3343.3874 u kJ/kg h kJ/kg s kJ/kg  K P  5.0118 8.042861 0.3 2725.1 4447.5 4877.035262 0.7714 6.5995 6.5 3604.18157 Sat.028033 0.04733 0.5 2907.0703 6.035655 0.2 5406.09850 0.4 5137.3 4142.2698 8.0 2818.0675 8.7 5.0323 7.2 4884.0 3145.9605 7.4 3273.4606 7.8014 8.7 4037.3 2924.5 4373.9 3083.7 2651.067938 0.9227 7.09816 0.7 3317.10543 0.3 2699.15103 0.5 2979.7 5133.0 2864.3 3118.4 4240.07355 0.3 3457.3 3214.033524 0.11326 0.0 3097.04535 0.4 5402.045172 0.053547 0.029492 0.042720 0.9 3016.1 5141.1350 8.7 3443.7 4872.2 4628.4 2790.06527 0.7 4035.8 4870.061011 0.6430 8.04406 0.2 3446.3 2864.0 3648.3181 8.0 3387.9337 6.025816 0.7 4667.5 3521.05667 0.0 MPa (250.8 2887.4 3242.5579 6.4 4463.2126 8.070224 0.5195 7.5 4680.3 4128.8902 6.0922 7.14064 0.9 3178.0 3201.8 4040.10916 0.5 3047.9781 7.5 2758.6802 7.5 4362.2 3434.5 3205.6 5399.04225 0.054342 0.0 3338.6 2914.9419 8.6 4875.7 2786.2605 7.6 3650.034612 0.0 MPa (263.4 2713.058147 2826.1 2879.059562 0.8 3632.7828 6.8 4369.3 3056.048463 0.0 MPa (311.14653 0.11715 0.0 2849.2 3081.0380 6.036793 0.5 MPa (257.2822 7.2312 6.5 4233.07076 0.8 4883.055665 0.09756 0.0308 7.3 4461.8 3065.4060 8.44C) 0.067082 0.59C) 2589.04742 0.05138 0.032811 0.050510 0.12655 0.06858 0.4 4671.2 5142.044187 0.062850 0.5 5401.024279 0.3 3658.4 5143.5 6.080733 2601.06477 0.1 4247.2 3288.9386 7.05197 0.6 2913.4651 6.3487 7.3 2794.2 4365.2 3826.030306 0.10769 0.025630 0.8 3324.083571 0.0 3434.1 2798.064919 0.05842 0.045755 0.0 4382.2 3453.2 3854.1 4251.0 3448.3639 6.4872 6.8 3642.7 5139.0408 7.1 3225.8 3096.8000 6.054829 0.027378 0.029782 0.4 2893.0 3628.08852 0.076750 0.0 3248.1 4376.2876 6.4612 8.5 3343.072667 2545.4247 7.5647 7.4219 6.9 4631.5 5127.3357 6.6214 7.6159 5.2 6.2819 .0433 6.048157 0.16140 2599.9737 6.041767 0.3 5131.05217 0.6483 6.12292 0.1693 7.11972 0.5 4029. 275 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300 0.0954 7.3 4137.090817 2570.07343 0.8826 7.3 3399.16992 0.0 2632.6 3635.Çengel−Boles: Thermodynamics: An Engineering Approach.1 2944.7269 7.7130 6.3566 8.018028 0.0696 6.084934 0.14527 2597.048629 0.0 4622.8 4042.6317 6.6 3844.2625 8.04978 0.103781 2581.5551 P  10.016138 0.5 3242.0791 8.8349 8.83C) 0.4 3650.023284 0.6 4102. Sixth Edition 922 | Appendix 1: Property Tables and Charts (SI Units) 927 © The McGraw−Hill Companies.0 4242.9 2857.032491 0.5136 7.8800 7.013496 2505.6791 5.5 2592.8210 6.03619 0.2709 8.1 2772.2 3440.8523 8.3 4882.8 4352.1 4674.2 3126.05461 0.3 5.020030 0.7071 6.81C) 0.4 5404.6273 P  9.0 2633.0198 6.0571 6.2 5407.043597 0.6 3730.0 4114.1 3175.03945 0.5 MPa (327.7 3324.7124 P  8.9 4250.6582 7.0 3634.063183 0.7 4454.35C) Sat.0 3100.9 2742.3 3639.4502 6.5 4245.7937 6.2111 6.3 3196.0 2809.023525 0.1 3139.1 4119.11098 0.7 2989.023019 0.1 2624.6 2674.8 3843. 2008 Table A−6 Superheated water Thermodynamics TABLE A–6 Superheated water (Continued) T °C u kJ/kg v m3/kg h kJ/kg s v kJ/kg  K m3/kg P  4.08964 0.039885 0.1 3755.6 3888.3 2961.8855 8.1429 6.4 3160.7266 6.7 3832.1 3422.019877 0.6353 6.8 4456.5843 6.6 4249.7450 5.4 3460.6 3040.5 3254.7596 5.5 5.9460 6.5 3835.5 2925.5880 8.3 3279.3 4133.4 2944.4 4462.2 3005.8 3894.038378 0.0 5135.4 3882.022440 0.5 2647.0 3829.2 2839.7 3666.06102 0.1693 7.08165 0.7 2668.9 2800.7 3093.1 4629.029960 0.9 3423.6 2725.3 5.029975 0.8 3258.2 3876.9 2726.2749 6.2 2827.03245 0.2 2956.06647 0.4516 6.3 3153.0 3643.7 4616.13020 0. 300 350 400 450 500 550 600 700 800 900 1000 1100 1200 1300 0.2305 6.6 3091.8 3273.5 4452.06332 0.7 3023.0 3074.4371 u kJ/kg h kJ/kg s v kJ/kg  K m3/kg P  4.058391 0.3810 8.5 4864.038194 0.8 4045.9507 7.6290 7.2 3267.0910 7.3706 7.039958 0.5 2810.8751 8.4534 8.35C) 2558.9 3261.075492 0.090341 0.0 4457.8 3748.026436 0.3658 6.7 3646.1 4459.051966 0.09886 0.6603 6.4 4879.0055 8.2144 8.1 5.3 4043.9619 8.7458 7.6 2967.6 2833.1065 8.097075 0.6 4680.4085 7.8148 5.4638 0.7219 6.3 2748.12107 Sat.5432 6.08004 0.3 4619.3 5405.3 3411.0 4613.7616 P  7.0 3618.7962 8.6 2839.8738 6.069856 0.020489 0.4 3375.00C) 0.5 3331.5 2988.1982 8.9 2668.046641 0.3 3167.07870 0.5388 8.5836 7.7 2784.8 3011.9 3841.2 3838.0540 7.9 2789.1648 8.9 3903.073079 0.0 MPa (295.08644 0.0786 8. 325 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300 0.4 3462.07652 0.5 2770.8 3818.2141 6.5185 7.9045 7.054132 0.9 3900.8164 6.6 3476.13476 0.079025 0.034344 0.0221 7.2 4672.15824 0.2 2611.9 4023.7 3069.05784 0.0 5394.9220 8.5 3000.9 4238.041018 0.1 3502.7585 6.3 4383.2 4123.1 3870.6 4625.048589 0.7 4380.8 4677.4 3512.01C) 0.038724 0.0 MPa (275.9 3159.4 3438.2967 7.1321 6.08766 0.94C) 0.6 3043.6 2699.7372 7.0 3625.0 5.1 2957.3 3302.4 3531.04144 0.8770 7.9 4606.1 3541. 5599 6.5 4010.009504 0.001816 0.4118 7.007717 0.021134 0.2 2664.9 5094.3248 7.1 4570.9 2452.016571 0.015204 0.9 3310.4 3521.0 4288.3 3064.022742 0.4 4152.1229 6.7 3803.3 2901.030348 0.6 4541.014140 0.4033 6.2 3764.5 3154.9 2253.2 2902.1145 4.9 3339.0 3560.8 3192.0 3675.002798 0.012534 0.011441 0.001792 0.8 2693.3637 6.5 MPa (354.5 2607.8 3366.005623 0.6 3228.5111 .3 375 400 425 450 500 550 600 650 700 800 900 1000 1100 1200 1300 0.019240 0.4 3743.8 3065.3 3175.8 3140.020954 0.009930 0.6 3749.9 3308.1255 7.5 3.001560 0.4438 5.011481 0.1 4424.9310 0.6 2880.3480 6.010341 0.5 1716.0 5112.010175 0.6 2373.018477 0.0192 8.1 4091.9 2152.6048 0.3425 7.009523 0.6 1874.5 2816.9099 7.022945 0.6807 7.9 4623.5 2755.1 u kJ/kg 1738.018922 0.011521 0.1 4472.014793 0.3108 5.020828 0.5357 7.4 3221.9 2428.7 4222.0 2997.6 3443.017473 0.2 1892.3 3020.005862 2294.1 2975.0170 6.2 4835.6593 6.4 3085.4950 7.3511 7.8724 4.007886 0.1946 5.015686 0.1435 0.9449 5.0 MPa 1742.1434 6.010296 0.036029 0.7991 7.8 2821.8602 0.7857 6.012980 0.022630 0.6 3190.7 3780.9 5352.3 5040.8 2180.1 5338.0 2974.4 5085.7 4396.8 4499.011143 0.015430 0.5 4812.7366 6.9 4360.3 3551.033952 0.2 4017.8 4067.2829 7.004957 0.7175 0.0 2950.1952 0.1 3409.7 2805.6331 5.3 5390.4 1988.3 4801.4 3252.0 MPa 1849.9 1843.6 4607.042062 0.0 1855.5 P  30.6613 6.7 3776.0 4130.003434 0.0 2511.009053 0.0531 7.006737 0.008348 0.8 1960.011445 0.0 MPa 1638.3 4438.015671 0.8 3733.012463 0.8 3031.8 3159.5896 5.9573 7.6 3978.7 1762.9 3218.012213 1609.3 3807.8 3599.7 3157.038806 0.3 2497.8 1914.6 3679.3 2845.9 3359.1 3590.2424 6.6378 7.2078 6.5 3103.0695 7.002009 0.1762 5.6 P  35.5230 6.3 3811.020827 1702.5 4325.9 2055.048469 2455.3 2160.9853 7.1 2769.5 3282.002538 0.0 MPa 1699.2 3991.6702 6.4623 6.038808 0.8 3450.2144 4.3 2945.002952 0.019305 0.024279 3.1630 4.002105 0.4 4584.3517 5.004833 0.5243 6.2880 7.005118 0.2 3539.015628 0.5825 7.7 2284.6759 5.7 3241.2373 6.9643 6.2 2001.7 2529.2 1791.1 4.014904 0.4 5103.3 3880.006985 0.1400 5.3821 7.75C) 5.4 3111.6796 6.7 3334.007932 2390.8 3279.7588 7.0 4852.7751 5.035503 0.5 5.002487 0.0 2097.3 3531.5 5375.8233 6.016976 0.8 5324.036371 2617.8819 6.3 3952.4074 6.3 2528.7149 3.001503 0.5563 5.4 3276.8 5117.3 4334.025172 0.7 1745.001701 0.3 3693.0 MPa P  50.012736 0.9 3570.006933 0.013278 0.1 4631.6 1931.4708 5.8 3823.9 2618.0574 4.012590 0.3740 6.67C) P  25.8339 8.9 4433.033215 0.6 5122.2 4415.7 2520.011523 0.8 4555.005299 0.9494 0.006108 0.4 2972.2 4858.6 4195.029020 0.4 3432.003890 0.032121 0.5526 5.6034 7.4288 7.9356 5.4207 7.1 4343.16C) Sat.7642 4.027157 0.3 2610.8867 6.7 3472.1668 7. 2008 Table A−6 Superheated water Appendix 1 | 923 u kJ/kg s kJ/kg  K TABLE A–6 Superheated water (Concluded) T °C u kJ/kg v m3/kg h kJ/kg s kJ/kg  K P  15.3 v m3/kg s v kJ/kg  K m3/kg h kJ/kg P  20.9 2807.8245 6.9 3061.8 2611.7409 6.7 4443.1215 0.8 4307.006957 0.2244 7.8 3609.006005 0.024921 0.1237 7.9322 7.023870 0.7 3423.4 2060.7710 7.0345 5.026484 0.2 5367.5044 4.2 3.1 3712.010439 0.009950 0.2 375 400 425 450 500 550 600 650 700 800 900 1000 1100 1200 1300 0.010565 0.024342 0.1473 5.9 4173.8 2684.029115 1799.3 3281.5 2671.5 2364.012721 0.6 3670.013590 0.3 3310.5 4206.001641 0.011339 0.2 3209.2 2887.018239 1677.8 2998.0 MPa (342.9107 7.6 4592.9317 4.2 5.2 3493.2037 7.0 3965.6 3561.9313 4.8 3397.017385 0.8 h kJ/kg P  17.4 4406.4 3385.5 4527.6 4252.2 3396.027405 0.1 4227.9 4020.008691 0.1 5075.2 3702.026804 0.001911 0.6933 7.009073 0.041556 5.3 2925.6 5386.019695 0.8 2721.8301 7.5 3599.9 3156.0373 6.0029 4.1 3095.5 3614.5890 6.2069 7.023150 0.4906 7.0403 6.0 5360.0 3251.4744 5.0 3511.4422 5.4 2199.8802 8.0814 6.7819 7.2 4757.031504 0.5075 6.4 3350.2 2681.1355 7.014620 3.4 2578.6 2866.016450 0.1816 6.8 2906.6 3996.0 MPa P  40.1 4663.008519 0.7 3175.002086 0.016643 0.2746 4.4 3106.001633 0.8 4655.9449 8.2 3972.6 3165.008089 0.014360 0.9 3902.4758 5.928 Çengel−Boles: Thermodynamics: An Engineering Approach.007456 0.4 4778.045279 0.7956 6.0 3399.8735 7.7 3711.8 3551.7841 P  60.3390 6.017942 0.3 4639.0 4043.1 2068.003692 0. 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300 0.028621 0.0 4182.6 1787.021075 0.1 3795.7211 6.0 MPa (365.4 3583.3 4270.2 4378.7 4004.0 3927.9 2824.5616 7.8 4823.005591 0.1 2393.6725 6.001731 0.3 4216.0131 7.6 3025.6 3925.8 2412.5 3637. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.6 2875.1 3026.018185 0.009176 0.4140 4.2 2570.8290 4.006265 0.019398 0.6527 5.7 4847.2 3.8 4216.5225 6.4266 6.2179 6.0 3084.001978 0.003955 0.5 4659.1 3839.013654 0.7 4599.5 3295.5 4079.7 2722.9 5058.5 2947.0212 6.3030 6.9093 6.9 5382.5 4591.7 3446.6 4647.9 2740.9043 6.1446 6.8 4184.021073 0. 8102 .43 332.5148 1.6916 705.74 525.9 1567.68 855.6 1037.0010738 0.9 1391.6156 1138.0012053 0.5105 1.1218 1421.0012862 1148.0 1205.0003 0.69 667. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 0.8 1782.0010361 0.31 166.1020 2.0016276 0.32 858.77 652.5528 292.11 918.0013409 0.0010496 0.2888 2.0010035 0.1 1213.0013783 0.4867 2.16 1040.3 1452.5 1334.16 267.9207 0.0009973 0.55 342.0011752 0.76 693.1 3.0011482 0.1 1109.08 324.0012653 0.77 193.2996 1.17 247.7243 1.0012044 0.6 1431.0 1115.1 2.75C) 1785.5127 2.32 934.0012268 1031.50 582.40 410.23 82.4951 2.63 753.6 1221.3251 2.0009872 0.0014733 0.0 1233.77 1016.1 49.0011049 0.5037 2.0016572 0.4263 3.0010290 0.2943 0.04 0.0010954 0.0016311 P  30 MPa 4.0010988 672.6848 0.0 1338.4414 1049.7 1547.25 0.0011160 0.5 0.0009977 0.55 1078.0013980 P  20 MPa (365.06 2.8250 3.5666 0.8 0.0010105 0.0410 3.1143 2.9 10.6 1838.29 80.0011122 0.0013226 0.9 1556.7 0.2 1167.0010221 0.3174 2.0010084 0.43 1039.8 1328.09 0.82 338.4 3.8234 1.39 990.0010013 0.3 u kJ/kg 0.50 413.6 20.0009951 0.Çengel−Boles: Thermodynamics: An Engineering Approach.0013322 0.95 0.0010244 0.2897 0.7 3.2921 0.0010 129.3 0.8287 1.49 925.0012121 0.05 246.90 276.48 844.6876 2.0009928 0.3558 3.85 1.0013611 0.0026 0.92 853.0564 1.07 93.0012755 1128.7194 1.2 s kJ/kg  K P  15 MPa (342.0010445 0.19 2.0009992 0.69 416.5705 0.0442 456.86 111.0012978 0.0011868 938.4 3.9 1610.0012770 0.2845 211.72 670.07 97.1338 2.05 773.9374 2.8889 790.0010410 417.28 176.06 756.0010337 0.9203 2.0012314 0.74 346.0014932 0.0009857 0.77 263.2920 1.18 0.3027 2.5020 1.0010127 0.1 s v kJ/kg  K m3/kg P  10 MPa (311.7864 1229.50 496.6491 2.0723 1.0011809 0.0012472 0.8710 3.28 750.15 1006.7499 4.0014014 0.0015884 0.90 434.74 745.9 1433. Sixth Edition 924 | Appendix 1: Property Tables and Charts (SI Units) 929 © The McGraw−Hill Companies.0015693 0.66 576.90 243.0 29.0001 0.0010623 0.81 1021.01 1026.0565 3.5438 3.0011412 0.0011595 0.0010072 0.2705 539.0012192 0.36 1.0020378 0.55 678.7 1259.0011708 0.9 Sat.5 3.0009805 0.18 584.93 180.68 0.0010155 0.6301 1746.0 1592.3034 1.4859 622.0009952 0. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 0.0014522 0.7293 1.0011390 0.0659 1.3603 0.3 1235.26 358.65 422.02 952.3 1134.42 405.84 602.2279 3.0010920 0.1206 2.6774 2.45 2.12 83.0011531 847.36 0.93 1042.6555 P  50 MPa 0.2847 1.5236 1.14 328.0 1231.3 1454.71 165.8055 374.7098 1.0014450 0.00 608.8260 1.2 1416.2 1134.7344 1.1 1675.0010199 0.84 929.27 949.0010057 166.39 514.8841 0.6 1740.0009767 0.2091 3.0010823 0.0010201 0.7 1229.32 0.59 414.5607 0.0010576 501.58 331.0011149 0.0005 0.8 1191.93 161.2888 1523.75 248.82 1038.2628 961.0010517 0.8787 h kJ/kg 1585.94 426.71 665.21 778.8586 3.6 h kJ/kg 1393.2 1121.6 1307.87 493.0010886 0.0011240 759.6983 2.2488 0.8469 3.0010522 0.43 1.1 1154.0011304 0.0018248 u kJ/kg 1826.4575 1630.0014049 0.61 0.92 430.91 507.0010549 0.5 1571.29 82.19 0.33 249.45 681.75 684.2954 0.47 765.49 819.78 837.62 510.2 1703.4 2.0014848 0.0 1343.04 5.6676 2.5191 1.57 185.0790 875.94C) Sat.01 770.45 904.01 767.86 441.23 500.0012430 0.9094 2.4 1317.0010769 586.11 164.0009996 83.0009886 0.1761 3.7 1502.9259 2.5 1134.0010385 0.0012560 0.0265 3.92 350.01 165.73 595.96 0.0691 1.75 330.9316 2.8208 1.0018729 0.0009929 0.18 83.29 255.40 831.2932 0.0627 1.3 15.0011697 0.80 592.58 840.0010042 0.6 1540.6 1354.69 569.3996 3.9 2.37 259.85 498.0010704 0.5 1288.17 517.94 487.02 860.0009904 0.95 0.0010267 333.85 0.3100 2.0009962 0.8 1329.39 944.0001 3.00 947.28 598.5685 0.0146 0.4 1407.4707 2.80 945. 2008 Table A−7 Compressed liquid water Thermodynamics TABLE A–7 Compressed liquid water T °C u kJ/kg v m3/kg h kJ/kg s v kJ/kg  K m3/kg P  5 MPa (263.4 1626.7 1134.8156 1.9547 1324.92 171.5646 0.0011435 0.5 0.78 1.5 1667.88 0.4 1445.07 687.16C) 3.0 3.0003 0.00C) 2.03 0.33 735.0012879 0.0011927 0.90 660.2958 1.03 102.0011200 0.94 1.1271 2.0010914 0.2 1134.6086 3.0010679 0.61 88.13 0.0004 0.0009951 0.85 580.0010149 250.9 1097.0010708 0.55 865.0010349 0.0013096 0. 3284 1.00 400.644 .27 394.3593 1.001087 0.391 11.2 2452. ice.4 2838.001091 0.7 2357.2 2726.80 345.13 374.18121 0.94 350.386 10.862 10.9 2834.549 9.1 2717.08510 0.001085 0.80 345.02490 0.7 2720.001091 0.7 3610.30998 0.9 2709.7 2471.0 2951.51772 0.63 341.2358 1.347 9.12 358.10326 0.778 10.1 2724.8 2344.8 2319.40 333.4 2437.063 10.969 12.5 2838.484 11.04 354.4676 1.01608 0.5 2374.18 366.15068 0.413 9.0 1644.25990 0.06991 0. vg Sat.2 2837.001088 0. 2008 Table A−8 Saturated ice−water vapor Appendix 1 | 925 TABLE A–8 Saturated ice–water vapor Specific volume.480 9.01 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 0.5 2714.001086 0.303 10.7 2837.0 2467.04673 0.5 2360.001087 0.5 2448.001087 0.3 2426. ice.72 404.0 333.43 337..18 366.2 2327.9 4432.8 2369.07 411.3 1362.6 2459.8 2482.5 2485.40 408.7 1992.374 10.001090 0.033 11.03802 0. Psat kPa Sat.61115 0. ui Subl. kJ/kg · K Temp.470 10.95 381.947 11.6 2346. ice.930 Çengel−Boles: Thermodynamics: An Engineering Approach.40 333.12 358.1 2341.05725 0.51 1131.25 397.1 2729.9 2722.3 2718.613 10.36873 0.99 206.51 942.618 9.5 2496.17 554.3130 1. si Subl.2 2713. m3/kg Internal energy.141 10.001088 0.2513 1.4 2838. ice.4367 1.221 10.2 2489.001085 0.13 374.7 2434.2 2838.17 370.6 2719. hi Subl.4 2838. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.7 2374.3 2838. sg 0.17 362. kJ/kg Enthalpy.001089 0.9 2330.0 2366.61169 0.001089 0.43 337.9 2833.70 2833.2204 1. kJ/kg Entropy..04 354.0 2835. vapor.88 787.2821 1.12492 0.2 2421.07 411.557 10.02004 0.95 381.40 408.300 11.835 9.9 2838.4212 1.909 9. vapor.8 2836.4 5460.4 2474.4 2324.2 2728.121 11.17 362.4 2349.4831 1.9 2355.689 9.9 2707.6 2836.7 333.3 2338.66 467.154 9.8 2445.533 10.5 2835..001091 0.282 9.2 2836.375 10.1 2838.209 11.4 2710.9 2837.6 2321.8 2712.7 2332.5141 1.695 10.5 2500. hg Sat.84 334.3748 1. vapor.1 6750.70 2707.9 2456.66 389.0 2729.25 397.3 2500. press.43748 0.47 659.673 11.0 2430.8 2716.3 2463.174 9.218 9. vi Sat.770 11.5 2837. vapor..4057 1.578 11.5296 10.985 10.93 350.453 10.4 2835.03082 0.82 385.1 2441.3903 1.63 341.1 2478.2202 1.17 241.72 404.62 283.66 389.47 393.869 11.071 12.01285 0. sig Sat.2 2352. T °C Sat.21732 0.154 9.0 2723.001090 0.2 2727.47 393..761 9.2667 1.2 2363.5 8376.001086 0.06 377.5 2335. ug Sat.001090 0.001088 0.001086 0.4986 1.06 377.5 2371.001087 0. hig Sat.82 385.2 2725.8 2493.6 1.4 2838.4521 1.9 2730.17 370.001085 0.2976 1.00 400.001084 205. uig Sat.3439 1. 1 kg/m 3 0. 1 6 0. °C kg/m 3 Den sity = 50 00 0 10 0 0 1200 14 30 % 550 0 P = 300 20 00 b 1 000 ar 5 100 000 80000 0 50 4 00 6000 30000 0 20 0 15 00 00 0 16 40% 300 k g/m 3 | 100 k 40 g/m 3 30 2 0 15 30 kg 8 /m 3 10 6 4 10 kg /m 3 3 2 1. kJ/kg · K 60% 0 0 J/ k g 20 0 26 00 k J/k g 7 8 9 4200 4300 4400 4500 4600 4700 4800 4900 5000 h = 5000 kJ/kg 80% 7 Qu a lit y= 90 % 8 9 2650 h = 2600 2650 kJ/kg 2550 2800 2900 3000 3100 3200 3300 3400 3500 3600 3700 3800 3900 4000 4100 0 10 100 200 300 400 500 600 700 800 900 1000 1100 10 1200 Copyright © 1984. Sixth Edition © The McGraw−Hill Companies. 03 00 2 Çengel−Boles: Thermodynamics: An Engineering Approach. 3 0. 01 kg/m 3 926 Appendix 1: Property Tables and Charts (SI Units) 0. John S. kg/m 3 0 0.6 . Kell.0 . Inc. Gallagher.8 1 0.0 0. and George S. 0 04 0.4 1 kg/m 3 0.0 g/m 3 s i 0 t y 8 =0 .2 0. 0 006 0 . 1 1600 id iqu dl e t a tur Sa 20 3 0 140 0 100 0 120 1 00 0 = ty ali Qu 2 1 20 0 0 1 00 100 200 300 400 500 600 700 800 900 1000 1100 Temperature.5 3 kg/m 3 0.3 0.08 0.04 3 0. 2008 Thermodynamics 931 . 2 4 Figure A−9 T−s diagram for water FIGURE A–9 T-s diagram for water. 0 15 0. From NBS/NRC Steam Tables/1 by Lester Haar. Reproduced by permission of Routledge/Taylor & Francis Books.0 5 0.1 0.0 0 2 .0 3k Den 0.% % 10 80 0 60 0 h = 40 3 4 00 328200 3000 2600 2400 kJ/ 2200 kg h= 0 0 0 2 1800 5 20 00 3200 4500 6 4000 h = 4200 kJ/ kg 3800 3600 3400 18 50% 22 00 Sa tu ra 0k 6 00 or 24 va p 70 % te d h= 0 10 80 0 6 0 80 0 60 0 50 0 40 0 35 00 3 0 25 0 20 0 15 5 Entropy. Kell.4 6 8 6 4 3 2 1. Copyright © 1984. 6 0.1 kg k g/ m 3 /m 3 1 kg 150 00 200 00 250 00 300 00 bar 800°C P= 4000 700°C 0C 600° 3000 0C 500° Enthalpy. Gallagher. 2008 Figure A−10 Mollier diagram for water Appendix 1 5000 2 3 4 5 6 7 1100°C T= 8 9 | 10 5000 °C 00 11 1000°C /m 3 0C 400° 98% 96% Qu 94% a lit y = 92% 90 % 88 86% % 84% 82% 80% 78 76 % 74 % % 72 70 % 68 % % 0C T = 300° 2000 De 3000 0. Inc. John S.08 0. 3 0 0.8 0.0 1 0.932 Çengel−Boles: Thermodynamics: An Engineering Approach.0 5 0. kJ/kg · K 7 8 9 1000 10 FIGURE A-10 Mollier diagram for water. .0 5 nsi ty = 0.0 0. 927 . kJ/kg De n s 100 it y = 1 00 000 kg 800 /m 3 0 600 0 500 40000 3000 20 15 00 800 10 00 00 6 40000 5 00 30 2000 1 00 k g/ m 3 80 1150 00 60 40 50 30 20 15 10 k 10 g/ m 3 900°C 4000 02 0. 0. 0 2000 % 66 % 64 % 62 % 60 % 58 56% 54% 52% 50% 48% 46% 44% 42% 40% 1000 2 3 4 5 6 Entropy.5 1.12 0 0. P = r ba 08 0 . Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.1 5 04 0. and George S. 3 01 0. Reproduced by permission of Routledge/Taylor & Francis Books. From NBS/NRC Steam Tables/1 by Lester Haar. 5 01 0 0. . 13583 0. liquid.72 0.12493 0.67 236.13 17.52 203.28 0.03 43. T °C Psat kPa vf Sat.63198 0.16498 0.29112 0.43 216.69 198.55 57.056398 0.71616 0.12542 0.17 205. press.0007535 0.82 144.33 22.91 248. vg Sat.22580 0.01 256.39 173.Çengel−Boles: Thermodynamics: An Engineering Approach.085802 0.38 233.94063 0.20 17.92389 0.31 48.61 223.30 56.01 314.0007297 0.76 101.04 38.43 92.0007054 0.00000 0.0007362 0.58 537. sfg Sat.23 387.0007172 0.95144 0.046295 0.05301 0. uf Evap.0007329 0.37 121. m3/kg Internal energy.64 240. hf hfg 40 38 36 34 32 51.41 239.80 172. liquid. vapor.79 207.25 59.65266 0.75 237.91 255.67 203.96866 0.04 0.25 56.08 170.26 s237.52 232.992 7.84 219.93139 0.0008020 0.24323 0.57 33.0007142 0.092352 0.93372 0.80561 0.90278 0.53 0.76008 0.84 46.52 190.80 227.76 20. Evap.0007430 0.78263 0.71 0.90 362.064612 0.93497 0. liquid.25 22.13 222.88 0.89 443.67 226..86 54.93253 51.72701 0.03199 0.96 204.11 214.0007804 0. vapor.83 238.40 216.19 504.10 249.95813 12.61 252.22387 0.0007203 0.31 473.83 70.87762 0..21415 0.53 176.0007975 0.079804 0.10463 0. ug Sat.98 30.81729 0.86 224.24711 0.95356 0.93766 0.40 25.81 7.89012 0.95 73. liquid.09 243.0007083 0.69471 0.92733 65.27 258.27090 0.66308 0.44 252.049403 0.91 219.73 184.18 208.92470 0.87 242.07 201. Temp.50 49.73794 0.19459 0.25 215.96584 0.93911 186.17 35.0007608 0. vapor.19 230.05 207.02138 0.0007887 0.79406 0.37 0.60 197.036 2.60 200.92 229.20439 0.18476 0.68 62.069255 0.01 190.32 76.08 234.18 70.57 73.0008113 0.59 235.07 195.88 235. kJ/kg Sat.59 15.58 163.93629 0.45 192.0007396 0.28159 0.72 246.27 232.55 41.15504 0.30 0.91 211.566 211.517 10.0007763 0.0007930 0.09441 0.91 207.93 185.26246 0.73 189.12 197.70 20 18 16 14 12 132.86527 0.0007571 0.36081 0.27 223.08 224.94941 0.29 201.82908 0.63 54.92641 0.0007234 0.96315 0.92 214.10 225.043417 0.23356 0.92 234.66 46.0007845 0.11 244.94564 0.40 206.55 210.85 272.17 0.32732 0.17395 0.40 41.04 204.14504 0.48 234.68410 0.94176 0.94222 0.85307 0.94389 0.56 189. ufg Sat.91560 0.93031 0.68 215.10 67.92 167.69 33.37 259.74 217.69 20.84 337. kJ/kg Enthalpy.86 227.88 213.040748 0.19 43.46 260.09 187.98 221.70540 0.0007265 0.38 238. hg Sat.0007723 0.35 250..074304 38.95 69.69 157.038271 Entropy.51 2.64 183.77 253.61 180.84101 0.51 245.15995 12.92 212.39 27.16 231.09 30.27204 0.90 239.07382 0.25286 0..97 175.037 210.14 184.67356 0.92927 0.55 217.13501 0.17489 0.97 62.052762 10 12 14 16 18 414.92310 .52 0.74896 0.060338 0.10736 25.20666 0.26 165.65 230.56 168..92859 0.30 194.96 10.52 199.38 170.91 0.96866 0.96058 0.13 181.09 187.0007499 0.18946 0.39 178.04253 0.22 233.77130 0.51 193.06344 0.0007464 0.0007684 0.58 51.73 111.45 251.99 59.16 257.94 192.92554 0.96 65.73 76.29751 0.56 76. kJ/kg · K Sat.92828 0.12 228.64230 0.17 218. sg 225. 2008 Table A−11 Saturated refrigerant−134a — Temperature table Thermodynamics TABLE A–11 Saturated refrigerant-134a—Temperature table Specific volume.54 225.099516 0.08414 0.78 193.43 68.42 185.72 196.82 200.95511 0.01072 0.475 4.95579 0.81 30 28 26 24 22 84.30 35.66 5.96 0 2 4 6 8 293.14729 0.11481 0.37 0. vapor.0008066 0.39 229.49 28. Sixth Edition 928 | Appendix 1: Property Tables and Charts (SI Units) 933 © The McGraw−Hill Companies. Sat.09 220.35 222.94748 218.36 0.515 209.65 15.86 62. sf Evap.0007112 0.0007646 0.000 208.62 10 8 6 4 2 200.11597 0. 10 244.37609 0.934 Çengel−Boles: Thermodynamics: An Engineering Approach.6 0.82 0. Chem.56241 0.35 65..14 100.87 155.007480 125.36670 0.0008786 0.14 169.59 262.0009317 0.30 278. No.0010372 0. Temp.76 207.33272 0. Evap.0008720 0.0011932 0.32 82.76 145..40 218. vapor.79 106.58800 0.033828 0. vapor.22 260. T °C Psat kPa vf Internal energy.16 165.21 33.58 246.24 184.0008161 0.91811 0.55 108. hg Sat.011434 0.98 149.91315 0.12 272.05 108.60130 0.26644 0.26 119.009950 0.0008536 0.79 98.95 273.8 1891.68 265.13 164.46 147.14 79.26 258.27 180.62 156.72 92.52049 0.67 71. vapor.87010 0.012771 0. press.51 277.36227 0.98 277.002630 171.39 0.44 87.59 132.11 272.029976 0. The routine used in calculations is the R134a.025108 0.021119 92.1 1682.008642 0.8 1130.92234 0.67 264.89 252.7 1191.47 29.49 178.004599 0.85 275.1 0.60 256.17711 0.53 0. Phys.64336 0. Tillner-Roth and H.1 1072. uf ufg ug Sat.62 268.0009150 0.91675 0.43242 0.68 0.55074 0.59 279.64 263.14 247.49 270.85289 0.68 254. kJ/kg · K Sat.0015269 0.13 126.017824 0.91948 30 32 34 36 38 770.60 141.0008313 0.92088 0.42302 0.26 90.69 182.67578 0.66 101.46 279.53755 0.32 115.” J.92018 0.08 250. sfg Sat.26 114. L.04 93. liquid.48920 0.12 245.45941 0.05 224.0009498 0.39486 0.41749 0.91391 0.18 685.42 158.67 156.90359 0.89 863.10 266.88 126.00 160.3 2928.21 257. 23.019952 0..0008595 0.91464 0.84 727.56082 0.89982 0.035969 0.59115 0.39 144.29 56.51039 0.33 105. kJ/kg Entropy.0008924 0.47993 0. sf Evap.37 0.8 0. “An International Standard Formulation for the Thermodynamic Properties of 1.41363 0.77 190.64 84.39 163. .08999 0.26 111.28 117.14 84.65 156. m3/kg Sat.69 176.028242 78.15 263.52 137. 5.0011270 0. vapor.93 95.87 247.45 153.91 139.80 253.2 2365.02 242.40 102.58102 0.29 250. liquid.28 116.88117 0.75 274.08 171. liquid.51320 0.32 120. Evap.18 258.22 151.2 3246.10 132. 2008 Table A−11 Saturated refrigerant−134a — Temperature table Appendix 1 | 929 TABLE A–11 Saturated refrigerant-134a—Temperature table (Continued) Specific volume. Ref.99 261.38 110.91536 0.014265 0.35 149. Alvarado.38548 0.40 180.49 137. Data.54066 0..35 963.0 1253.58 280. liquid.43 154.31958 0.72217 0.43863 0.44 262. Vol.77 259.0010037 0.016853 0.64 280.36 147.55 104.9 3594.02 124.01 162. vg Sat.91 174.29 173.0008261 0.57091 0.89 202.1.85 174.46 115.48 99.0009750 0.026622 0.91606 40 42 44 46 48 1017.006436 0.018855 0.66 267.49012 0.58 139.91743 0.47018 0.2-Tetrafluoroethane (HFC-134a) for temperatures from 170 K to 455 K and Pressures up to 70 MPa.46 280.0008657 0.1.27 272.91067 0.015939 107. sg 20 22 24 26 28 572.50027 0.68 0. Sat.40425 0.2 1529.53 130.86 158.83 90.57 269. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.11 912.0008366 0.32903 0.19 263.0008996 0.31011 0.90880 0.003726 0.33846 0.63 263..35 95.005486 0.09 162.98 87.77 154.022364 0.81215 Source: Tables A–11 through A–13 are generated using the Engineering Equation Solver (EES) software developed by S.58 96.61149 0.07 608.0008478 0.62172 0.33 131.07 194.91879 0.27 646.30111 0.1 3975.82 262. hf hfg Sat.38 139.23 82.0 2118.88912 0.D.0008210 0.90669 0.34789 0.22674 0.89512 80 85 90 95 100 2635. 1994.0008854 0.32 113.0008421 0. The enthalpy and entropy values of saturated liquid are set to zero at 40°C (and 40°F). Sat.0010772 0.0012933 0.023691 0.44 82.92160 0.06 243.64 815.35730 0. Klein and F.91236 52 56 60 65 70 75 1386. Baehr.28 121.97 251.05 241.31 0.031834 0.30063 0.26 143.45126 0.39039 0. kJ/kg Enthalpy.12 249.16 160.53058 0. which is based on the fundamental equation of state developed by R.86 81.54 145.14 248. A.14 271.42 135.17 167.61473 0. 06 31.0008331 0.37 17.97 54.69 29.92400 0.65 26.25 2.17794 0.51 107.71 185.0007185 0.26 270.91912 0.21 217.22 95.69566 0.0007533 0.57567 0.57 197.0007223 0.11 192.25 160.93 77.14014 0.56431 0.31695 0.91624 0.96441 0.94807 0.02 234.81 255.89419 0.35404 0.51 37.91050 1600 1800 2000 2500 3000 57.77 127.07 151.041118 0.16 0.16 186.30799 0.0007907 0..40 0.81496 0.71 18.96042 0.35 241.0007383 0.0008266 0.57 190.0007098 0.020313 0.93210 0.94779 0.37 46. Press.48 39.0009639 0. Sat.45315 0.0008458 0.0008059 0.027371 0.44 63.0008934 0.62118 0.52509 0.94190 0.0009400 0.26929 0.10 144.97 239.16 241.15 270.45 227.90 206.045619 0. Sixth Edition 930 | Appendix 1: Property Tables and Charts (SI Units) 935 © The McGraw−Hill Companies.64377 0.022683 0.45 263.64 163.24 154.83 243.12 0.83 111.016715 0.47911 0.63 277.0007259 0.38 1.77 0.90 207.19829 0. P kPa Tsat °C vf Internal energy.33 149...22 258.07 44.21 205.87 31.51 85.01 146.40 26.48 245.98 209.03 236.85503 0.54 196. kJ/kg · K Sat.37675 0.21 173.33 77.52 233.99 183.39189 0.94456 0.77 15.73381 0.55349 0.08 191.82 8.04 124.67929 0.34345 0.15457 0.029361 0.87 276. uf ufg ug Enthalpy.12693 0.09 0.42873 0.30 199.31 0. liquid.93 135.83 38.0007699 0.17 280.94 171.92775 0.43 142.48 212.60030 0.16 92. Sat.18 55.21263 0.22 167.92 262.034295 0.0008641 0.76 169.0011406 0.54 81. liquid.46 233.87995 0.73 231.94 202.021438 0.90784 0.025621 0.0007144 0.38301 0.82 163.79 97.65 217.93006 0.09275 0.46 5.20 201.083897 0.11041 0. m3/kg Sat.730 11.798 7.31 33.92 59.24 91.37 0.20 267. sfg Sat..61 104.71369 0.10 81.48 237.94 148.45 116.17 261. 2008 Table A−12 Saturated refrigerant−134a — Pressure table Thermodynamics TABLE A–12 Saturated refrigerant-134a—Pressure table Specific volume.014107 100.30 260.46 15.841 7.71 194.33230 0. sf Evap.32051 0.31121 0.056738 0.0008199 0.680 11.52368 0.60 12.91692 0.28 195.95710 0.13 28.93773 240 280 320 360 400 5.67 246.40 263.25 218.88 253.87894 .79 229.0008130 0.90999 0.73 96.031646 68.38 180. sg 60 70 80 90 100 36.45 77.38 235.51 257.98 244.099867 22.73 21.0009166 0.28 249.61378 0.79 250.063604 0.08 31.27 188.75 240. vapor.93 144.04 117.68 253.92535 0.88 215.42441 0.0007324 0. kJ/kg Sat.25776 0.08 152.62 247. vapor.79826 0.85 249.72 251.32 203. Evap.72 168.28 223.21 34.48863 0.99 224.23753 0.14139 0.08 209.71 265.51 263.19 3.66069 0.53323 0. liquid.95 33.91994 0.09 34.04711 0.Çengel−Boles: Thermodynamics: An Engineering Approach.54 86.31 17.16 227.0008700 0. vapor.47 260.09 280.92081 700 750 800 850 26.92282 0. hfg hg Sat.12 210.86 244.59 94.86 279.0009886 0.87 156.99 273. liquid.93965 0.55 24.33 111.26 188.48 22.47 98.006936 0.66 165.49 27.0007772 0.67 179.78316 0.20 0.73 10.16 59.00 149.89226 0.28023 0.90498 0.19254 3.70 125.78 166.81 256.85 88.62821 0.58763 0.88 62.29461 0.82 169.43 248.95427 0.14 229. Evap.26 135.69 106.43 214.45 0.35 222.00 238.55 0.87 67.072352 0.45734 0. vapor.57531 0.11 242.21637 0.46 0.92177 0.07188 0.46 141.00 220.0007985 0.45 72.79 247.037408 0.66 50.29 52.72 63.01634 0.09 0.61 173. kJ/kg Sat.12348 0.60 176.95 222.051201 44.009288 0.0007620 0.98 183.32 117.0008395 0.47 80.40204 0. temp.98 171.62 199.010559 0. vg Sat.012123 0.91 0.90 178.26465 0.10 148.83368 0.15 14.06008 0.54 165.83 103.54 221.51 219.88 212. hf Entropy.67 156.20 68.23270 0.91303 0.16212 0.90184 0.24761 0.81 158.82 92.98 31.50 176.62 182.79 279.93458 0.21 14.03 266.90 269..91558 0.29 268.50294 0.11087 0.23 137.32 18.92836 0.63 186.37 101.11 130.0008520 0.005275 134.44 0.48 49.46 213.36413 0.54315 0.0007487 0.97 38.91762 900 950 1000 1200 1400 35.11 128.03267 0.0010566 0.0007437 0.81 73.024069 88.0008580 0.0007841 0.46 231.95183 120 140 160 180 200 22.37377 0.75664 0.53 259.02 84.91835 0.92691 450 500 550 600 650 12. 92 313.11418 0.2020 1.1001 1.15196 0.12748 0.24 0.36 278.09423 0.60 0.54 239.29303 0.41 286.17172 0.9937 1.3096 P  0.10897 0.19254 0.63 371.87 383.2222 1.10587 0.91°C) 0.2092 1.0576 1.1142 1.05 296.36 279.9724 1.1749 1.073274 0.1484 1.9831 1.83 259.075504 0.32 285.22 303.17794 0.07 255.2602 P  0.47 304.22 255.97 312.09 249.02 331.04 270.0595 1.35 256.38 295.41 263.2105 1.71 278.46 244.2288 1.0528 1.07 340.68 362.46 234.11310 0.37 289. 10 0 10 20 30 40 50 60 70 80 90 100 0.31121 0.98 332.1021 1.09991 0.09987 0.36 260.12766 0.38°C) 0.68 289.97 260.60 227.1066 1.26783 0.1640 1.44883 0.56 287.99 344.27626 0.58 268.9305 0.74 254.50 253.9698 1.08617 0.87 0.0739 1.99 0.66 316.077717 0.00 335.58 270.9628 0.0031 1.35 255.73 296.2339 1.2074 1.02 232.95°C) Sat.72 296.07823 0.2997 1.1532 1.25 272.61 262.10045 0.86 275.2305 1.06 262.66 272.17 280.32 MPa (Tsat  2.46°C) v m3/kg h kJ/kg P  0.2626 1.67 314.27 278.07235 0.53 361.09 239.19841 0.86 245.9301 0.16 253.86 258.13741 0.58 256.46 230.62 342.35 288.06925 0.0774 1.19025 0.44 239.24233 0.20 0.40 MPa (Tsat  8.30 293.08390 227.15908 0.07530 0.08111 0.32 312.08675 0.60 269.33 330.0814 1.09324 0.9544 0.98 246.07231 0.09503 0.19 219.44 322.39 352.15 286.25 304.9680 0.44 251.39 349.54 245.92 249.78 315.2431 1.28 296.91 233.66 226.9380 0.64 280.52 251.20847 0.9721 1.1474 1.74 244.38 279.39302 0.37°C) 0.11675 0.55 339.1369 1.60 0.0030 1.55 0.09812 0.082096 235.54 253.1441 1.23 240.054213 0.48 224.60 313.2572 1.9644 1.97 298.2356 P  0.59 315.66 276.2882 1.06360 231.26 325.1636 1.90 349.69 314.94 281.066443 0.00 314.0451 1.10942 0.99 295.80 352.99 225.10955 0.18 278.9321 0.14504 0.32 340.68 268.31 271.30138 215.13248 0.0331 1.44 264.14014 219.53 303.9269 0.1280 1.51 323.1094 1.58 265.19635 0.57 304.0303 1.14 MPa (Tsat  18.96 312.9446 0.95 264.86 321.76 248.54 382.1907 1.57 351.08 305.33608 0.2512 P  0.06609 0.10 270.87 382.80 0.29 238.09026 0.3250 v m3/kg u kJ/kg h kJ/kg s kJ/kg  K P  0.10570 0.9377 0.86 294.35048 0.2035 1.18 252.91 304.79 279.20743 0.11874 0.46 333.48 240.08 271.0429 1.37 287.15 279.42 305.0477 1.06 296.70 297.95 241.67 247.09775 0.42102 0.1353 1.05 261.47651 0.08953 0.38 314.75 326.1203 1.44 238.1915 1.0102 1. 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 0.28 MPa (Tsat  1.9397 0.60 262.64 297.1298 1.2367 1.10275 0.41 256.2997 1.1983 1.13 316.9798 1.079913 0.11512 0.0918 1.068747 0.14 343.49 255.23373 0.25°C) Sat.35 372.07 313.0882 1.40 333.07646 0.12 220.79 240.18412 0.15673 0.12398 231.59 279.30 362.0174 1.49 343.58 262.89 287.48 322.16 0.59 302.09644 0.09°C) 0.50 261.09 334.64 255.90 277.18 MPa (Tsat  12.75 305.1571 1.22 280.12038 0.62 295.09229 0.85 304.9987 1.49032 0.11818 229.69 267.0399 1.11189 0.93 333.20 0.12240 0.9484 0.0975 1.52 277.08338 0.0690 1.9346 0.77°C) 0.11 313.1840 1.93 271.50 247.09000 0.97 244.2742 1.65 269.66 241.16 307.18 0.36 295.1418 1.14074 0.14 263.55 232.0628 1.10193 0.71 272.0134 1.22506 0.73°C) Sat.57 306.24 MPa (Tsat  5.23 314.79 256.3135 0.98 306.43495 0.2171 1.14230 0.99 297.14933 224.25 288.59 270.0624 1.74 227.2836 1.2814 P  0.88 242.12322 0.56 286.061724 0.9362 0.2249 1.21630 0.93 263.06 MPa (Tsat  36.73 288.16622 222.0236 1.70 372.97 288.1958 1.89 331.9856 1.1163 1.77 325.16 331.1690 1.1714 1.21449 225.27 246.0332 1.11205 0.11722 0.051201 235.13 254.66 248.58 263.11041 0.82 278.14 247.05 315.46269 0.20242 0.01 324.059292 0. 2008 Table A−13 Superheated refrigerant−134a Appendix 1 | 931 u kJ/kg s kJ/kg  K TABLE A–13 Superheated refrigerant-134a T °C v m3/kg u kJ/kg h kJ/kg s kJ/kg  K P  0.37893 0.28465 0.50410 209.63 350.20 MPa (Tsat  10.08 305.00 323.26 321.55 234.91 296.056796 0.00 247.0718 1.2463 1.28 0.10314 237.1805 1.10481 0.63 334.73 341.2191 1.2942 .0004 1.30 248.9518 0.65 285.06 342.1256 1.051506 0.10 MPa (Tsat  26.25088 0.3260 1.07282 0.9519 0.70 294.071023 0.0862 1.2732 1.0912 1.93 343.41 306.09961 0.34 298.2553 1.96 288.1825 1.3520 P  0.40705 0.07 284.08672 0.75 233.72 250.81 272.57 344.68 305.79 271.1195 1.16149 0.36 254.25937 0.74 307.55 334.14605 0.2483 1.88 0.1762 1.08395 0.13641 0. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.17 246.42 344.07997 0.97 287.36476 0.0285 1.54 264.27 324.15263 0.14715 0.0157 1.29 313.2688 1.15 322.16544 0. 20 10 0 10 20 30 40 50 60 70 80 90 100 0.064104 0.1554 1.13206 0.16 287.936 Çengel−Boles: Thermodynamics: An Engineering Approach. 83 281.037829 0.90 369.9499 0.030581 0.81 290.56 364.67 348.2163 1.046318 0.023375 0.75 242.30 260.2444 1.27 289.021155 0.61 311.017023 0.021796 0.020194 0.85 314.018201 0.67 310.55 338.29 276.039985 0.9802 1.82 309.9156 0.59 357.81 270.015005 0.04 347.60 MPa (Tsat  21.0121 1.80 MPa (Tsat  31.23 376.1031 1.035984 0. 50 60 70 80 90 100 110 120 130 140 150 160 170 180 0.70 375.40 347.9179 0.73 371.029361 244.11 364.1394 1.2192 1.1773 1.82 263.02 402.46 339.9703 1.1658 1.28 304.016715 0.62 284.37 276.054027 0.02 417.2421 1.020313 0.046004 0.72 386.07 332.69 296.33 259.0194 1.032659 0.40 354.2703 1.061687 0.9850 1.40 MPa (Tsat  52.041118 0.033457 0.12 0.86 390.1536 1.37°C) 0.10 308.76 323.81 386.029158 238.063479 0.9525 0.80 315.9875 1.2491 1.89 292.1930 1.1389 1.1414 1.51 368.45 278.34 353.19 352.96 301.81 386.022442 0.31 386.73 319.25 324.028584 0.76 282. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 0.46 274.0549 1.69 383.15 283.029806 0.07 316.036349 0.055522 0.17 284.39 315.2584 1.69 377.2747 1.2067 1.0599 1.25 357.018778 0.2951 P  0.01 282.041143 0.44 271.0546 1.050485 0.82 370.031554 0.80 300.17 362.029592 0.022683 0.037865 0.40 348.64 300.068775 Sat.71 282.86 272.0256 1.61 354.013430 0.021904 0.033941 0.016014 0.2830 1.64 0.00 0.2210 1.9733 1.81 257.76 338.031340 0.2327 1.50 MPa (Tsat  15.067021 0.0458 1.1900 1.94 270.1258 1.042290 0.1705 1.33 318.37 363.037625 0.1803 1.1308 1.024809 0.11 345.0860 1.02 374.033164 0.044688 0.0949 1.06 345.09 363.45 379.95 309.00 342.29°C) 253.1230 1.016060 0.48 256.9327 0.34 319.55 422.52 327.1140 1.25 305.01 282.0408 1.1684 1.77 295.9383 0.2807 0.73 301.84 299.13 262. Sixth Edition 932 | Appendix 1: Property Tables and Charts (SI Units) 937 © The McGraw−Hill Companies.41 343.69 408.20 421.46 356.02 332.9660 0.58 378.023355 0.9267 0.15 307.22 399.07 322. 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 0.40 250.9218 0.60 MPa (Tsat  57.56 357. 2008 Table A−13 Superheated refrigerant−134a Thermodynamics TABLE A–13 Superheated refrigerant-134a (Continued) T °C v m3/kg u kJ/kg h kJ/kg s kJ/kg  K P  0.05 352.63 325.024228 0.29 348.9480 0.017201 0.0698 1.1118 1.058053 0.55°C) v m3/kg u kJ/kg h s kJ/kg kJ/kg  K P  0.0987 1.0110 1.3080 1.74 293.025621 0.87 291.014362 0.012123 258.9313 0.91 350.80 330.89 339.50 320.034295 241.052427 0.031696 0.1949 1.2577 1.91 329.97 327.88 316.2061 1.57 288.27 402.034875 0.050997 0.2186 1.1081 1.0280 1.98 309.97 368.66 357.37 330.047900 0.2972 1.43 418.0248 1.15 318.1924 1.019502 0.0309 1.012372 0.31°C) 246.86 299.88°C) 0.85 355.0795 1.40 0.32 379.0500 1.87 278.18 336.019597 0.0056 1.95 319.024261 0.01 313.0417 1.79 254.85 366.014107 256.020830 0.2298 1.58 290.035193 0.68 251.59 411.028367 0.57 360.026492 0.1162 1.20 274.59 359.71°C) Sat.20 MPa (Tsat  46.065256 0.06 366.72 289.64 302.46 392.2449 1.06 356.022636 0.21 286.1846 1.51 294.30 263.66 397.76 376.75 296.48 265.021456 260.044710 0.55 333.86 0.2699 1.0981 1.056205 0.2875 1.40 388.019545 0.025398 0.42 308.23 338.017923 0.04 270.9078 0.2999 1.044338 0.63 267.66 391.77 344.020406 0.9954 1.021506 0.040642 0.015215 0.3088 0.69 293.36 0.10 285.054331 0.50 311.025927 0.2554 1.024061 0.029973 0.87 337.01 385.2368 1.51°C) 0.40°C) P  1.2467 1.027413 0.9169 0.86 298.032068 0.26 383.89 293.26 267.035302 0.84 259.10 320.72 276.44 394.2233 1.03 334.048597 247.47 349.9105 0.035317 250.26 305.39 265.052519 0.0883 1.44 0.45 286.52 269.1436 1.018404 0.76 400.76 0.027566 0.13 305.9240 0.032512 0.47 336.3221 P  1.90 MPa (Tsat  35.0160 1.10 337.2038 1.9938 1.034241 0.1504 1.2954 v m3/kg u kJ/kg h kJ/kg s kJ/kg  K P  0.059880 0.9976 1.83 358.07 396.19 328.75 384.73 319.32 279.1971 1.023348 0.042115 0.30 347.11 280.03 381.29 338.99 271.9535 0.0661 1.023068 0.034392 0.28 366.18 380.08 273.1530 1.039250 0.02 367.3249 P  0.69 406.9199 0.3124 P  1.29 268.47 277.030951 0.89 271.05 389.028630 0.12 372.07 0.0011 1.20 407.026753 0.027552 0.38 325.9389 0.038408 0.14 312.044554 Sat.043069 0.88 422.039423 248.83 262.039659 0.88 410.0364 1.72 0.048499 0.99 267.70 MPa (Tsat  26.41 367.60 280.09 292.70 327.38 372.06 308.53 298.026146 0.042010 0.61 374.25 284.2623 1.1798 1.033322 0.0835 1.1114 1.029966 0.3327 P  1.024757 264.48 275.28 299.00 399.30 341.53 356.2676 .81 306.02 361.48 291.1360 1.71 365.047306 0.0705 1.01 0.2721 1.9614 0.86 266.036373 0.76 346.17 302.018882 0.1664 1.26 274.0574 1.60 358.59 288.96 367.043427 0.89 336.038813 0.73 343.020388 0.028547 0.81 280.9130 0.1264 1.34 317.020529 0.041389 0.22 257.0836 1.025086 0.38 303.69°C) 0.64 335.036420 0.55 329.39 322.9163 0.15 410.28 328.19 346.52 401.016773 0.049458 0.1580 1.51 316.9816 1.82 420.043358 0.037384 0.53 350.9183 0.03 0.9641 0.61 340.2109 1.00 MPa (Tsat  39.1632 1.057006 249.0748 1.47 297.88 375.63 329.94 326.046456 0.45 327.51 373.46 273.2321 1.017500 0.Çengel−Boles: Thermodynamics: An Engineering Approach.027035 0.2838 1.51 311.85 253.56 277.78 385.31 0.23 389. 4 0.2 0.92 1. and Air-Conditioning Engineers.8 0. but not from both.1 X=0 .2 2.9 satura 300 0.4 8 2.4 2.Çengel−Boles: Thermodynamics: An Engineering Approach.6 satur 0.80 0. .84 1.60 1.01 100 4 3.1 liquid s 350 300 280 260 240 220 200 180 140 120 100 500 550 0.52 1. GA.4 1. Reprinted by permission of American Society of Heating. MPa 938 700 0. problems should be solved using all property data either from the tables or from the chart.02 150 0. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies. kJ/kg 0.88 Pressure.5 250 –40 40 ted va por ated –60 60 200 T = 160°C 160 C 0. Note: The reference point used for the chart is different than that used in the R-134a tables. 2008 Figure A−14 P−h diagram for refrigerant−134a Appendix 1 350 400 kg/m 3 115 0 110 0 105 0 10 00 95 0 90 0 85 0 80 0 300 1200 1250 250 1300 1350 200 1400 1450 10 150 1500 100 20 450 500 550 600 650 0 60 0 10 100 120 4 90 70 60 50 40 2 40 2 32 24 20 T = 0°C 0 1 750 20 /m33 kg/m 2000kg tyh==20 ensisity DDen 160 0 50 60 R-134a 933 300 400 70 | 700 80 4 1 16 12 0.4 0 2.2 1.04 0.04 20 –20 0.3 0.68 1. Inc.96 0.01 750 FIGURE A–14 P-h diagram for refrigerant-134a. Refrigerating. Therefore.36 1.7 0.8 0.4 0.44 1.4 8 80 60 40 20 0 –20 20 400 450 Enthalpy.02 0.7 2 2.2 –40 40 0.76 1.28 1.6 4 2.6 0.1 6k J/k gⵯⴢK 6 0.5 6 s= 2.04 0.2 4 s= 2.12 1.6 600 650 2.0 8 2.20 0.2 0.3 0.64 2. Atlanta.4 8 0.00 1.3 2 2.1 1.72 0.. 40 0 0.0 0 1.9 0 .0 0.80 vRr 0.0 .6 0. 2 1.40 P Pcr REDUCED PRESSURE. 00 3.6 0 . 0.05 1.30 1.4 1.8 0 0.70 5 =0 vR 0.6 REDUCED TEMPERATURE.2 0 1.45 0 0.8 5 0.60 0.00 1. 1.0% R COMPRESSIBILITY FACTOR. P R (b) Intermediate pressures.9 5 v R= 30 REDUCED PRESSURE.00 TR = 15 ≈ TR = 3. Sixth Edition 939 © The McGraw−Hill Companies.00 4.5 Z ≈1.Çengel−Boles: Thermodynamics: An Engineering Approach.0 0 6 5 070 0. 2008 Figure A−15 Nelson−Obert generalized compressibility chart Thermodynamics (a) Low pressures.0 2.7 .80 2. Z 0.1 0 Pv RT 1. P = —– R T Tcr REDUCED TEMPERATURE.5 7.00 00 60 1.0 0 3.90 Pv RT | COMPRESSIBILITY FACTOR.3 0.3 0 0.0 4.60 .5 0. 1. 80 1.20 1.00 NOTE 0.0 80 70 0 .00 0. University of Wisconsin. 0 . P = —– R CHART No.50 NELSON — OBERT GENERALIZED COMPRESSIBILITY CHARTS 1.00 1.10 TR = 5.5 REDUCED PRESSURE.10 1.75 0.0 3.20 0. 0 < PR < 7 3.4 0 .8 0.00 = NELSON — OBERT GENERALIZED COMPRESSIBILITY CHARTS 0. Edward E.0 TR = 5.0 REDUCED PRESSURE.3 0.5 0 .00 10 0. 9 0 1.7 PSEUDO REDUCED VOLUME.3 1. Z = —– 0.6 0.8 0.0 0 2. T = —– R v PSEUDO REDUCED VOLUME. 1 T Tcr TR = —– v vR = ––—––– RTcr / Pcr 20 15 0.60 0 .85 12 0 0.80 1.3 0. Obert.5 6.05 0.10 PR 1953 0.00 0 0.6 0.00 0.2 0 1.9 5.50 2.00 0.4 0.1 0.5 4.30 0.0 CHART No.6 0 2 .0 5.2 0.00 00 2.2 0 2 2.0 P Pcr 1.00 3.95 0.20 1. Used with permission of Dr.80 1.0 5 ---DEVIATION > 1.0 6.0 0.5 3.5 0 3. 0 .30 1953 TR = 1.95 5 0.4 0 1.90 TR = 2.10 0. 20 1.10 0.50 1.4 0.20 0.0 8.7 T 2.5 1.7 0.0 0 2 .6 1. Z = —– 934 Appendix 1: Property Tables and Charts (SI Units) 0 1 . 5.60 1.40 1 .90 0.40 1.60 0.60 1.50 1.7 0. 0 < PR < 1.15 1.25 0 .05 0. 5 0.5 2.90 1.5 0 =0 v R 0. v = —– R RTcr / Pcr 1.0 0 . 53.40 1.9 1.15 1 .5 0 1 1. P R FIGURE A–15 Nelson–Obert generalized compressibility chart. 0195      Source: U.72 85.705 0.786 9.891 0.7 318.0236 0.1 333.5 36.8 338.568      105 105 105 105 105 0.19 79.98 12.794 9.08 9.0223 6000 6200 6400 6600 6800 24.000 12.12 68.736 0.575 1.6 14.11 35.2 329.40 11. m/s Density.0195 0. .790 9.909 0.0 337.681 1.0250 1000 1200 1400 1600 1800 8.2 321.0206 10.2 47.51 9.00 13.789 9.794 9.0233 0. m Temperature.40 14.80 101.9 334.000 49.739 1. g  9.7 331.422 1.0226 0.00 0.752 1.0212 0.674 1.604 1.803 9.63 73.787 9.0231 0.8 314.561  105 1.3 0.758 9.69 43.325 kPa.90 4.000 18.785 0.5 26.804 9.0 25.798 332.721 0.608 1.940 Çengel−Boles: Thermodynamics: An Engineering Approach.6 27.4 0.1 303.80665 m2/s.785 316.30 89.3 1.987 0.10 9.493  105 0.027 1.47 42.788 9.5 338. r  1.4 41.52 9.69 70.5 319.312 0.1 21.792 324. m/s2 Speed of Sound.617 0.595 1.467 1.3 339.0 330.751 299.S.0227 0.797 9.0249 0.661 1.0240 0.27 9.122 1. °C Pressure.458 1.86 48.0243 0.0 313.112 1.793 9.134 1. kPa Gravity g.0232 0.2 61.09 8.048 1.0 326.646 0.9 43.5 331.777 1. kg/m · s Thermal Conductivity.800 9.1 295.732      105 105 105 105 105 0.2 1.5 295.8 323.0195 0.602      105 105 105 105 105 0.0 322.788 9.782 9.3 308.635      105 105 105 105 105 0.0195 0.8 0.0241 0.49 9.799 9.796 9.769 0.928 1.2 325.1 0.52 57.0234 4000 4200 4400 4600 4800 10.0230 0.819 0.05 52.694 1.793 9.60 3. The conditions at sea level (z  0) are taken to be P  101.65 30.0237 0.9 56.0245 0.799 9.36 66.62 51.88 87.0219 0.802 9.642 1.63 64.837 1.805 9. 1966.770 9.66 60.872 0.76 71.090 1.50 77.39 9.0247 0.764 9.752 1.0217 0.622 1.854 0.80 9.50 19.805 9.23 49.225 1.156 1.6 323.422 1.4 335.22 45.802 0.9 29.0228 0.17 10.32 92.069 1.791 9.6 314. kg/m3 Viscosity m.796 9.795 328.5 56.800 9.0244 2000 2200 2400 2600 2800 2. 2008 Table A−16 Properties of the atmosphere at high altitude Appendix 1 | 935 TABLE A–16 Properties of the atmosphere at high altitude Altitude.0235 0.60 83.422 105 105 105 105 105 0.0222 0.802 9.588 1.53 81.5 56.8 327.713 1.4 1. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.720 1.779 312.7 334.4 0.28 9.57 9.527  105 1.1 295.414 0.202 1.00 55.61 94.655 1.0220 0.0201 0.5 315.55 75.785 320.0224 0.0239 3000 3200 3400 3600 3800 4. Based on year-round mean conditions at 45° latitude and varies with the time of the year and the weather patterns.687 1. Standard Atmosphere Supplements.92 9.771 1.5 56.631 0.0253 0.8 20.582 1.0238 0.49 5.776 9.9 318.1 295.0242 0. U.758 1.0218 7000 8000 9000 30.2250 kg/m3.3 13.59 1.7 54.615 1.0248 0.0252 0.33 98.228 0. Government Printing Office.783 1.707 1.675 1.526 0.S.947 0.0252 0.3 26.007 0.804 340.000 16.807 9.179 1.726 1.967 0.166 0. W/m · K 0 200 400 600 800 15.0251 0.789 1.590 0.70 12.20 5.0229 5000 5200 5400 5600 5800 17.89 3.801 336.53 7.648 1.745 1.660 0.000 14.95 96.700      105 105 105 105 105 0.1 317.628 1.764      105 105 105 105 105 0.806 9.785 9.422 1.50 7.70 0.1 0.668      105 105 105 105 105 0.4 22.6 327. T  15°C.791 9.0221 0.79 7.5 18.690 0.94 44.9 16.94 63.797 9.07 58. 0 1.40 657.92 1254.40902 2.9352 221.61 451.97 337.28 17.17888 3.07732 3.99194 2.1 1.13 24.14 19.19834 3.2311 1.17 575.9 155.96633 1.31 1324.77170 2.60 199.36 381.23 528.0889 1.53 628.59 57.9 631.29 82.71865 680 690 700 710 720 691.6 283.4 133.70 236.16 295.33 862.39140 2.34 1.63 533.86 12.88 25.3987 0.25 75.0 738.23993 2.95 641.95 48.45 192.80 462.27 320.04142 2.94001 800 820 840 860 880 821.69 307.0 1205.6355 142.31 32.46048 2.27 43.34 167.50 389.35531 1200 1220 1240 1277.379 2.58 370.34 396.28 1207.4 489.069 3.27967 1100 1120 1140 1160 1180 1161.57277 2.33 979.26 431.29906 2.1 127.04 596.896 17.7 170.9590 1.06533 900 920 940 960 980 932.89 78.92 1000.66802 1.02 257.93 238.1 647.85 39.0 1512.332 5.11 280.915 278.031 9.5546 1.75 52.74 565.98 866.62 756.12 421.72 23.77 2.92 374.1 422.6 508.05 260.99 560.35 555.00 105.69 454.31 330.69 156.8405 0.29559 1.82 702.61 572.97 219.47 681.6 162.30 18.51917 1.93 286.01699 2.01 488.064 15.38 32.25997 2.67 380.82790 1.75 203.13916 3.7 133.21751 .63280 2.42644 2.84 20.11161 2.46 457.42 232.09 68.747 13.684 10.79 880.56 69.91 915.47824 580 590 600 610 620 586.31809 2.2 596.03 33.07 64.02 513.82344 390 400 410 420 430 390.8345 1.241 3.52589 290 295 298 300 305 290.03449 3.92128 2.15916 540 550 560 570 544.4686 206.73498 1.88 400.62 827.33685 2.15 434.70203 1.02 551.50985 2.95 843.19 305.02 741.97 209.4 1.28 185.07 14.59 624.66 13.5 301.17760 1000 1020 1040 1060 1080 1046.153 4.10 793.84 179.95 14.470 13.24 482.7 110.73 2.78 465.79 1301.0 254.89 1091.626 2.99034 3.60 63.32 344.411 9.16 293.07 544.98 2.18 300.52 607.9 621.7 193.69528 1.55731 2.04 734.61803 2.0 1346.11883 3.1 146.29 778.0 1.02 240.98 7.5477 0.775 6.4 1.09825 3.42 350.0 1084.68515 1.22 28.55 427.7 2.24 264.50 473.3 549.93 955.91 210.6442 1.99 85.8 808.33 951.6 251.4690 0.42 450.61 2.79783 730 740 750 760 780 745.2 758.71787 2.64 21.84 41.59634 1.38 15.81 92.36 419.12 36.42 411.65055 630 640 650 660 670 638.88543 1.31 16.61 2.7375 1.86 1137.24 315.01 576.13 285.08870 2.85 228.84856 2.80 30.82 164.522 4.87324 2.44356 250 260 270 280 285 250.2 845.35 536.98 34.64737 2.32 523.10 11.29 28.05608 490 500 510 520 530 492.892 3.4 200.1 1.54 51.481 3.3860 1.49 366.28 708.36 810.76 67.04 1068.176 242.85 27.1 207.49 5.15604 2.64 214.946 16.67 676.89748 2.72 35.85 1114. Sixth Edition 936 | Appendix 1: Property Tables and Charts (SI Units) 941 © The McGraw−Hill Companies.Çengel−Boles: Thermodynamics: An Engineering Approach.99 321.40 26.13 59.3 266.97 139.6 105.43557 1.2 674.2 96.22 1.1 179.14 75.29 325.7 272.02 472.54175 2.39105 1.742 7.46 271.57 18.08 359.12 62.02 0.2 343.78249 1.14 19.18 30.63 55.25 224.76690 1.0 121.92 2.29 21.43 300.8 528.74504 2.7329 0.02 496.62 329.1 189.28 97.08 725.17 23.47716 2.98 411.85708 1.268 315.05 89.09 270.34444 1.8 101.75106 1.58 691.56 149.38 977.91313 1.50 37.0 123.35 39.4 367.37 352.245 6.53 2.86 404.55 1023.64 2.33 520.5 2.94 776. 2008 Table A−17 Ideal−gas properties of air Thermodynamics TABLE A–17 Ideal-gas properties of air T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K 200 210 220 230 240 199.96770 2.07 217.07 1184.27 724.8 223.97 230.79783 2.3 143.02 617.58810 2.886 16.08 888.34 81.824 8.14 0.56 47.30 322.6 211.84 88.82 25.17 298.3543 1.82 57.149 2.44 767.13407 2.09 968.21952 2.50 72.62 504.82 250.3068 1.69013 340 350 360 370 380 340.08 44.2 222.74 503.09 115.78 442.59 11.63 649.49 360.37348 2.806 4.0 887.0 706.19876 2.1584 178.3363 0.3 933.00 171.22 659.30 608.98 592.86 23.35 897.13 1707.49 212.25 481.60319 310 315 320 325 330 310.01260 3.2 393.89 114.57 1230.66176 2.43 3.94468 440 450 460 470 480 441.18 800.27 910.2 2.1 154.52 713.55848 1.84 670.49364 2.45 512.63279 1.02 235. 1 424.55 1372.44 330.9 636.6 1855. H.26 11.1 1316.53879 Note: The properties Pr (relative pressure) and vr (relative specific volume) are dimensionless quantities used in the analysis of isentropic processes.8901 3.39586 3.77 1150.1 1025 1941.275 10.56867 3.4 986.7 2440.51 1708.761 4.555 2. Keenan and J.9474 Pr u kJ/kg vr 791.9 1582.30959 3.7 2252.3 2.046 3.5 750.41 1223.747 10.96 925.0 1205.82 1733.79 450.2 1880.8605 3.9 1830.95 8.4 2189.5 478. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.30 5.55381 3.87 1242.9191 3.854 6.57 1620 1782.6 1161 1335.2 1298.5979 3.6 2377.780 9.60 1467.94 1077.569 6.49 1491.7994 1500 1520 1540 1560 1580 1635.2 2566.36200 3.175 2.49 1186. Thermodynamics.574 s° kJ/kg · K 3.3 2503.328 3.776 3.0 506. (New York: McGraw-Hill.37901 3.24 290.42892 1800 1850 1900 1950 2000 2003.27345 3.3 2127.6 1678. .82 1040.90 1004.8 710.7023 3.435 3.355 5.247 9.23638 11.8 1872.8303 3.25510 1600 1757.7 3.835 3. 4th ed.337 3.96 5.50 974.17 601.5 375.9 352.4 2303 2559 2837 3138 3464 1726.97 1419.63 1611.49276 3.301 6.919 8. pp.022 2.356 2.153 7.8 1775.76 1443.8 1113.2 1022.34474 1640 1660 1680 1700 1750 1806.6684 3.526 8.012 1.65 7. Kaye.7 1439.44 1563.864 3.50829 2050 2100 2150 2200 2250 2314. Gas Tables (New York: John Wiley & Sons. and should not be confused with the properties pressure and specific volume.51 1587.48 1373.6 1630.32724 3.3 399.41247 3.46120 3.949 4.88 1058.46 878. 785–86.13 1168. 1948).76 12. table A–5.99 1279. Originally published in J. 1983).72 1354.1 568.97 1660.10 1095.24 1392.9 537.942 Çengel−Boles: Thermodynamics: An Engineering Approach.3 2065.994 3.5 672.00 1300 1320 1340 1360 1380 1395.7677 3.4 1921.152 6.42 1539.468 3.52364 3.44516 3.3 1823.58335 3.6336 1400 1420 1440 1460 1480 1515.801 7.8 310. Source: Kenneth Wark.295 3.29160 3.23 1684.1 1310 1475 1655 1852 2068 1487. 2008 Table A−17 Ideal−gas properties of air Appendix 1 | 937 TABLE A–17 Ideal-gas properties of air (Concluded) T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K T K h kJ/kg 1260 1280 1348.52 1131.147 4.804 834.601 3.7354 3.2 1534.43 1260.47712 3.8 5. 581 14.389 226.756 217.071 200.597 9.210 27.574 12.437 6.772 23.927 224.639 183.733 8.356 209.113 220.062 11.638 193.532 27.673 190.471 10.220 21.913 16.991 20.292 17.188 0 182.671 13.492 11.811 8.763 11.499 202.786 9.892 14.614 189.459 195.407 19.432 8.314 300 310 320 330 340 8.347 7.564 213.853 7.461 209.514 188.055 11. Sixth Edition 938 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.685 19.139 12.472 350 360 370 380 390 10.707 11.890 27.770 4.914 900 910 920 930 940 26.363 9.640 11.033 850 860 870 880 890 25.225 12.541 214.562 950 960 970 980 990 28.301 219.784 15.686 216.166 18.839 14.363 16.021 6.604 20.728 943 .876 15.830 218.512 400 410 420 430 440 11.682 192.997 10.172 15.701 226.502 650 660 670 680 690 19.297 13.266 0 4.669 5.153 200.999 210.141 16.141 8.866 216.695 18.684 222.562 194.826 29.849 8.529 21.337 14.766 10.328 700 710 720 730 740 20.624 218.105 13.572 199.230 13.358 208.709 220.353 225.248 26.270 7.173 196.644 19.122 20.476 29.075 19.059 218.728 227.988 14.563 17.635 10.974 17.928 26.066 212.151 29.460 15.216 207.658 24.262 11.008 15.018 260 270 280 290 298 7.413 215.370 16.889 219.560 214.288 500 510 520 530 540 14.630 207.194 223.979 5.938 185.907 221.794 201.447 450 460 470 480 490 13.895 8.014 9.370 600 610 620 630 640 17.995 197.Çengel−Boles: Thermodynamics: An Engineering Approach.603 20.460 22.285 9.822 223.757 17.568 18.478 7.292 25.574 9.170 204.647 225.049 211.558 7.391 6.027 24.224 18.854 28.562 223.562 4.055 213.975 7.604 5.803 205.149 22.180 10.863 800 810 820 830 840 23.362 224.104 196. 2008 Table A−18 Ideal−gas properties of nitrogen.489 214.848 11. N2 _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 220 230 240 250 0 6.061 17.306 9.772 12.450 212.114 14.932 12.398 15.423 10.888 6.210 203.234 15.424 206.229 6.931 19.864 18.912 21. N2 Thermodynamics TABLE A–18 Ideal-gas properties of nitrogen.695 191.314 8.792 208.061 191.178 19.518 12.687 7.792 13.459 18.396 5.192 217.298 221.523 8.067 222.962 17.528 211.086 21.011 13.524 17.469 15.599 16.064 16.813 6.085 23.189 202.794 198.180 186.571 226.328 21.468 18.923 12.277 206.523 204.002 225.883 20.954 215.943 9.803 20.398 227.064 227.342 24.683 6.610 25.714 24.380 19.844 21.990 220.723 9.399 13.662 16.645 6.331 750 760 770 780 790 22.501 28.168 222.190 187.047 550 560 570 580 590 16.693 13. 571 51.814 86.242 251. pp.593 75. .014 33.149 82.129 30.958 254.181 49.668 268.732 241.538 266.104 24.137 243.291 231.902 79. NSRDS-NBS-37.149 56.981 84.320 81.734 72.351 53.944 Çengel−Boles: Thermodynamics: An Engineering Approach.895 1600 1620 1640 1660 1680 50.075 47.762 21.350 240.873 45.654 44.412 256.241 264.163 262.601 35.464 77.378 30.507 41. (New York: McGraw-Hill.747 2900 2950 3000 3050 3100 97.777 247.101 32.771 48.275 51.799 261.896 245. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.489 33.782 82.341 265.502 250.902 263.553 57.567 50.965 40.170 40.777 37.488 90.853 41.295 44.858 253.543 34.549 1860 1880 1900 1920 1940 59.228 242.398 30.195 63.423 45.344 38.763 Source: Tables A–18 through A–25 are adapted from Kenneth Wark.749 55.673 235.980 52.324 245.799 27.580 246.938 57.810 66.227 56.464 244.706 229.915 29.071 239.028 244.768 242.589 248.686 53.186 269. N2 Appendix 1 | 939 TABLE A–18 Ideal-gas properties of nitrogen.973 230.455 67.366 60.504 61.786 26.601 269. Thermodynamics.099 54.377 31.705 99.128 250.391 232.304 22.301 2400 2450 2500 2550 2600 79.806 38.007 1700 1720 1740 54.790 60.957 251.115 73.784 31.376 238.488 26.139 42.166 246.361 29.650 59.665 36.260 105.884 39.766 236.612 68. 787–98.226 72.676 77.268 37.092 34.810 1400 1420 1440 1460 1480 43.969 252.452 38.830 110.115 234.856 75.470 49.819 28.424 244.407 103. 1971.580 259.973 46.607 251.168 49.807 55.075 41.859 66.280 24.845 234. Originally published in JANAF.878 2150 2200 2250 2300 2350 70.033 258.869 34.865 240.690 80.780 25.990 3150 3200 3250 106.231 43. 1983).332 260.798 248.779 62.220 61.799 232.831 237.594 42.760 35.396 247.404 268.988 45.393 37.224 83.793 267. 4th ed.213 262.867 238.073 47.417 47.539 42.516 39.430 36. Thermochemical Tables.014 95.040 73.442 32.375 239.874 1200 1220 1240 1260 1280 36.288 23.381 64.682 46.964 32.685 43.028 76. 2008 Table A−18 Ideal−gas properties of nitrogen.133 35.344 229.524 249. N2 (Concluded) _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 1000 1020 1040 1060 1080 30.782 228.827 241.936 62.651 58.197 36.591 1760 1780 1800 1820 1840 56.512 1500 1520 1540 1560 1580 47.223 235.919 31.073 260.880 69.282 25.627 48.331 28.578 255.227 257.308 27.577 264.973 233.556 101.195 248.795 23.815 22.129 38.972 108.585 2650 2700 2750 2800 2850 88.306 70.426 34.748 250.365 249.027 257.328 92.807 39.979 1100 1120 1140 1160 1180 33.302 1960 1980 2000 2050 2100 63.227 42.441 236.496 52.363 59.685 243.049 246.353 237.605 44.324 44.090 64.170 266.726 1300 1320 1340 1360 1380 40.057 228.613 65.199 231.171 94. 626 14.812 222.575 4.423 212.949 8.955 216.754 22.160 10.116 228.213 10.823 240.696 199.429 260 270 280 290 298 7.178 23.822 9.016 218.017 22.733 7.898 226.858 8.Çengel−Boles: Thermodynamics: An Engineering Approach.827 232.203 240.326 219.232 12.984 7.644 237.228 13.859 16.395 15.859 17.325 9.364 17.290 17. Sixth Edition 940 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.364 15.872 18.222 213.002 750 760 770 780 790 22.928 28.885 600 610 620 630 640 17.409 7.559 26.544 19.877 227.765 214. O2 _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 220 230 240 250 0 6.151 14.953 241.899 27.656 800 810 820 830 840 24.091 234.218 26.584 19.338 16.844 23.275 0 4.620 9.782 4.262 225.191 204.383 14.041 21.090 205.230 236.603 8.384 8.126 18.150 19.387 400 410 420 430 440 11.925 20.893 235.405 5.918 228.445 20.218 205.682 5.654 16.589 221.850 24.109 11.765 11.611 15.439 500 510 520 530 540 14.609 11.533 220.580 240.314 12.411 242.822 6.107 16.051 239.999 30.885 300 310 320 330 340 8.528 234.487 9.460 9.510 15.808 950 960 970 980 990 29.989 5.020 208.242 6.614 10.055 237.997 900 910 920 930 940 27.178 13.511 10.514 21.186 16.140 14.213 206.711 12.864 238.146 224.736 9.929 18.842 14.071 11.809 11.177 207.710 9.618 233.666 19.637 18.842 11.544 22.703 223.291 232.708 225.871 15.708 16.032 6.706 20.453 6.082 15.043 9.272 28.242 27.203 201.895 19.904 700 710 720 730 740 21.916 6.510 215.027 202.409 222.467 12.022 10.664 6.694 6.960 235.566 7.150 8.111 17.649 234.657 13.932 229.607 16.400 227.241 215.197 0 196.219 12.513 23.660 239.877 17.408 19.052 242.524 20.120 945 .462 450 460 470 480 490 13.382 18.177 22.971 17.877 7. O2 Thermodynamics TABLE A–19 Ideal-gas properties of oxygen.443 8.033 650 660 670 680 690 19.264 213.748 233.967 21.430 229.185 237.870 20.923 8.358 231.306 20.604 211.303 7.920 230.616 28.960 29.810 236.228 21.765 210.845 22.491 239.998 12.405 230.199 25.537 25.184 21.417 13.171 197.689 242.618 12.280 22.518 7.770 15.854 14.572 18.346 226.525 13.250 18.386 217.861 25.692 31.404 6.345 30.940 13.201 350 360 370 380 390 10.461 198.935 10.264 238.963 850 860 870 880 890 26.809 241.030 9.112 208.197 20.301 11.206 221.323 550 560 570 580 590 16.652 29. 2008 Table A−19 Ideal−gas properties of oxygen.613 5.166 209.768 242.128 203.676 219.342 218.576 224.012 12.523 24.357 231. 606 36.785 106.115 267.447 39.469 29.060 285.821 37.113 265.008 34.471 244.825 45.891 268.665 51.023 37.652 57.956 63.654 282.088 32.474 2400 2450 2500 2550 2600 83.866 44.946 Çengel−Boles: Thermodynamics: An Engineering Approach.784 78.690 60.371 61.224 31.132 2900 2950 3000 3050 3100 102.704 271.987 75.136 273.677 25.151 47.904 49.450 258.772 71.925 266.883 72.162 39.454 255.399 285.394 58.804 286.692 36.334 32.194 23.669 262.224 36.818 247.738 1500 1520 1540 1560 1580 49.616 63.827 86.127 67.112 87.728 284.009 283.568 30.826 100.475 256.756 51.033 42.129 35.778 110.307 1860 1880 1900 1920 1940 62.607 24.809 1400 1420 1440 1460 1480 45.861 264.944 260.722 267.682 80.520 39.868 65.513 246.357 1600 1620 1640 1660 1680 52.881 96.961 53.891 274.965 258.136 42.614 .670 249.405 45.880 59.370 41.952 38.836 27.271 67.164 244.594 41.932 2150 2200 2250 2300 2350 73.079 251.561 34.881 69.387 37. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.355 286.588 270.292 50.198 44.517 43.601 88.986 46.018 29.294 26.485 280.734 25.227 40.868 254. O2 (Concluded ) _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 1000 1020 1040 1060 1080 31. O2 Appendix 1 | 941 TABLE A–19 Ideal-gas properties of oxygen.172 55.906 250.389 32.424 277.314 37.435 3150 3200 3250 112.339 275.877 40.742 66.484 77.727 54.005 263.546 77.219 280.434 55.475 44.326 266.316 81.490 34.024 50.404 254.253 52.802 69.256 255.870 2650 2700 2750 2800 2850 92.319 48.174 85.778 32.207 277.247 44.655 269.989 287.912 39.312 28.696 54.753 26.497 251.698 249.278 273.504 1300 1320 1340 1360 1380 42.075 23.713 1700 1720 1740 56.078 50.789 33.791 261.891 33.568 263. 2008 Table A−19 Ideal−gas properties of oxygen.571 263.325 253.795 114.399 272.923 31.505 1200 1220 1240 1260 1280 38.102 47.573 75.697 57.799 41.118 61.567 35.808 70.852 98.088 257.753 43.916 94.831 48.433 73.208 267.837 83.978 257.844 245.004 90.275 268.490 265.333 260.521 1100 1120 1140 1160 1180 34.192 58.625 276.899 35.379 27.776 253.081 248.193 61.142 24.419 85.203 89.734 48.968 256.397 79.171 1760 1780 1800 1820 1840 58.809 116.258 81.668 50.979 278.118 30.402 259.780 108.048 283.214 243.923 246.093 43.365 64.690 262.374 47.928 259.648 46.658 40.283 264.449 252.219 64.653 252.374 67.057 89.793 104.112 279.454 248.620 47.701 265.219 1960 1980 2000 2050 2100 66.490 52.242 261.624 60.243 55.942 281.116 64. 938 7.070 40.117 254.225 226.663 251.826 8.960 8.029 19.268 31.507 249.371 262.748 12.665 23.206 14.521 13.267 257.179 32.378 10.124 21.685 650 660 670 680 690 24.770 262.369 30.131 213.939 7.212 33.408 258.575 237.232 11.719 263.959 6.829 27.959 26.135 239.559 264.706 28.807 15.877 550 560 570 580 590 19.966 204.230 800 810 820 830 840 32.719 22.044 223.135 30.065 252.280 7.160 25.110 256.718 219.251 25. 2008 Table A−20 Ideal−gas properties of carbon dioxide.444 267.694 33.158 230.694 700 710 720 730 740 27.311 259.678 18.439 350 360 370 380 390 11.031 29.485 13.570 10.983 244. CO2 Thermodynamics TABLE A–20 Ideal-gas properties of carbon dioxide.915 215.439 238.393 225.121 28.894 247.194 231.146 264.534 218.625 33.000 39.709 24.670 947 .660 213.773 35.233 249.622 14.821 36.007 267.305 21.522 22.476 260.629 30.Çengel−Boles: Thermodynamics: An Engineering Approach.524 246.280 22.952 300 310 320 330 340 9.758 245.242 24.669 25.230 7.644 31.171 32.730 34.537 33.685 42.817 6.122 224.576 19.628 15.885 14.800 13.648 26.138 26.471 18.154 31.622 29.078 20.751 16.337 600 610 620 630 640 22. CO2 _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 220 230 240 250 0 6.483 15.368 252.182 750 760 770 780 790 29.063 9.817 24.789 241.296 35.552 12.916 850 860 870 880 890 34.651 6.885 208.717 210.607 41.714 11.682 259.347 36.253 14.439 8.351 16.369 6.134 22.527 25.062 211.672 20.754 23.814 235.551 261.683 18.762 400 410 420 430 440 13.566 268.535 29.091 12.405 37.231 23.351 11.627 0 4.818 31.791 17.631 19.972 250.773 248.394 26.444 12.787 14.053 11.752 9.922 30.979 8.787 255.945 20.250 227.186 10.962 240.700 236.755 253.304 265.902 239.392 9.831 220.126 18.948 222.996 234.270 19. Sixth Edition 942 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.870 21.199 243.046 10.916 16.601 6.068 9.054 10.467 39.076 18.452 256.807 10.484 20.081 33.252 229.407 20.995 266.119 268.097 254.351 217.125 28.742 12.226 32.935 38.291 17.674 25.337 21.080 233.258 228.292 900 910 920 930 940 37.548 0 202.144 232.190 17.285 5.335 8.869 243.146 216.405 950 960 970 980 990 40.697 9.376 212.131 16.934 450 460 470 480 490 15.728 265.004 233.602 242.125 27.048 258.464 205.364 5.091 6.588 29.393 23.282 260 270 280 290 298 7.148 12.515 16.372 15.526 7.772 5.431 9.622 28.145 41.968 500 510 520 530 540 17.876 27.372 13.032 247.026 5.920 207.164 261. 217 302.051 47.378 36.911 53.444 276.152 128.984 119.290 134. CO2 Appendix 1 | 943 TABLE A–20 Ideal-gas properties of carbon dioxide.374 1200 1220 1240 1260 1280 53.670 63.590 76.992 308.066 282.612 88.381 43.114 292.486 81.303 80.791 89.684 329.153 34.231 68.995 97.808 324.449 105.158 282.566 322.078 72.856 84.957 42.912 102.691 50.586 68.929 77.144 84.124 338.822 145.848 54.271 66.403 278.293 271.456 131. CO2 (Concluded) _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 1000 1020 1040 1060 1080 42.741 64.695 319.026 325.681 331.632 297. 2008 Table A−20 Ideal−gas properties of carbon dioxide.751 307.222 1500 1520 1540 1560 1580 71.840 74.283 2150 2200 2250 2300 2350 109.576 174.808 152.768 47.767 58.067 304.533 143.117 162.939 115.226 165.420 87.544 304.552 313.849 126.283 139.896 1600 1620 1640 1660 1680 76.114 336.672 51.609 60.116 48.238 38.057 41.948 Çengel−Boles: Thermodynamics: An Engineering Approach.427 67.701 312.091 92.742 70.845 305.722 285.799 46.721 69.962 78.630 292.482 300.197 107.417 74.834 45.812 73.769 43.713 149.835 106.653 65.306 37.996 80.593 94.411 295.396 327.219 131.122 306.868 75.354 272.654 294.210 310.988 316.592 67.439 287.631 54.089 150.898 134.656 52.126 1700 1720 1740 82.606 288.832 320.793 95.258 49.400 273.341 168.847 284.963 64.394 93.864 82.977 56.369 50.009 159.543 302.801 337.748 66.953 46.185 86.000 91.901 296.620 146.528 129.602 52.962 1960 1980 2000 2050 2100 98.333 2400 2450 2500 2550 2600 125.105 83.764 299.913 274.609 57.542 291.196 71.006 41.160 1300 1320 1340 1360 1380 59.174 269.549 328.356 317.368 137.455 35.724 39.871 44.859 44.106 288.212 326.109 339.031 81. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.781 2900 2950 3000 3050 3100 156.112 40.445 275.043 85.604 309.500 121.606 59.084 335.108 57.037 334.238 281.430 277.787 72.215 270.613 61.695 177.975 333.069 .198 1100 1120 1140 1160 1180 48.246 73.302 321.177 300.166 115.621 55.023 94.161 2650 2700 2750 2800 2850 140.614 56.522 60.606 100.897 301.361 1860 1880 1900 1920 1940 92.123 79.743 290.404 307.884 303.800 330.072 298.401 99.702 295.806 90.648 97.356 298.487 306.898 112.668 66.035 122.172 123.197 76.888 292.713 49.739 297.863 3150 3200 3250 171.277 99.813 62.643 283.504 113.908 118.430 1760 1780 1800 1820 1840 86.586 286.849 110.589 314.244 58.484 51.620 62.307 280.011 1400 1420 1440 1460 1480 65.944 78.982 142.589 137.666 61.804 103.385 148.934 289. 497 15.622 12.187 14.Çengel−Boles: Thermodynamics: An Engineering Approach.545 21.789 222.164 24.500 201.693 950 960 970 980 990 28.593 500 510 520 530 540 14.833 224.641 220.526 12.097 16.014 10.483 24.771 4.797 10.683 6.890 214.090 11.980 191.265 224.512 218.437 6.899 8.719 28.127 221.443 10.505 300 310 320 330 340 8.243 210.255 16.723 16.689 7.401 215.258 22.115 225.307 212.375 9.411 600 610 620 630 640 17. Sixth Edition 944 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.014 9.957 231.929 800 810 820 830 840 23.826 20.874 11.252 208.902 18.658 10.341 229.289 13.052 222.205 219.482 229.805 21.880 211.611 17.645 6.938 12.669 5.724 450 460 470 480 490 13.559 227.066 13.020 900 910 920 930 940 27.843 13.951 9.665 17.188 0 188.162 227.597 9.460 215.821 8.362 29.752 234.587 9.740 8.842 204.803 25.957 225.175 217.371 700 710 720 730 740 20.197 15.141 19.693 30.307 11.713 196.179 260 270 280 290 298 7.415 26.562 4.317 231.193 17.391 6.413 233.812 6.315 21.558 15.088 949 .701 17.890 23.644 11.429 17.298 21.051 21.066 27.593 210.554 194.979 5.723 9.692 350 360 370 380 390 10.232 12.604 5.115 216.449 19.181 10.898 15.649 217.952 228.850 207.603 200.302 9.628 21.708 14.058 11.190 193.683 189.743 11.020 6.266 0 4.723 198.768 26.480 7.221 192.091 26.319 8.529 8.740 18.124 17.227 230.592 222.727 233.549 208.488 16.062 197.396 223.719 213.656 221.600 14.844 24.975 7.339 228.181 12.854 7. CO _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 220 230 240 250 0 6.765 11.849 8.473 10.690 21.953 223.962 14.378 13.735 197.800 10.028 232.116 13.208 23.106 229.204 218.504 212.943 14.399 16.163 206.072 233.217 203.870 15.046 28.003 17.695 220.024 20.033 29.858 19.108 202.357 226.678 199.674 232.099 15.140 8.271 7.526 16.221 18.383 750 760 770 780 790 22.889 6.328 15.040 203.022 16.543 650 660 670 680 690 19.375 19.005 14.314 20.559 230.573 22.351 7.703 29.856 230.229 6.793 232.961 12.833 12.099 19. 2008 Table A−21 Ideal−gas properties of carbon monoxide.310 213. CO Thermodynamics TABLE A – 21 Ideal-gas properties of carbon monoxide.654 195.558 7.533 225.379 550 560 570 580 590 16.762 400 410 420 430 440 11.524 11.758 20.947 226.306 9.432 8.392 27.527 18.583 19.396 5.572 216.708 219.622 205.117 850 860 870 880 890 25.125 206.412 13.446 25.736 13.915 18.068 20.002 21.617 18.070 20.140 227.414 14.228 209.379 18. 673 43.927 250.494 .508 274.930 94.377 35.572 252.049 234.751 253.906 64.122 257.329 2900 2950 3000 3050 3100 98.222 48.309 29.886 45.743 257.497 1200 1220 1240 1260 1280 37.552 47.988 54.194 255.408 46.756 57.285 270.837 39.065 25.053 51.945 268.836 243.778 44.197 68.976 256.360 247.884 273.663 241.900 33.124 36.695 250.388 2150 2200 2250 2300 2350 70.802 109.088 26.060 61.326 275.361 256.331 253.728 236.602 237.880 245.928 49.844 244.421 235.750 38.876 247.118 27.686 242.407 239.780 1960 1980 2000 2050 2100 63.889 246.224 69.584 257.678 29.061 84.919 42.508 245.778 249.357 33.383 75.766 265.825 77.613 43.230 91.023 41.472 53.665 48.020 31.629 42.207 248.202 1500 1520 1540 1560 1580 47.939 74.426 28.637 28.733 36.267 78.534 41.905 269.910 59.108 255.839 2400 2450 2500 2550 2600 80.221 48.844 27.184 53. 2008 Table A−21 Ideal−gas properties of carbon monoxide.504 72.582 3150 3200 3250 107.434 33.852 83.688 32.351 61.797 255.516 63.398 254.367 32.123 42.072 61.095 37.992 1760 1780 1800 1820 1840 56.596 270.249 272.352 102.584 36.887 263.355 31.007 44.971 34.943 271.991 254.408 67.054 35.778 31.817 239.154 39.868 258.587 1100 1120 1140 1160 1180 33.495 100.639 67.895 37.191 58.226 41.592 251.066 71.725 30.110 46.784 96.226 262.635 50.534 81.557 25.335 65.382 39. CO (Concluded) _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 1000 1020 1040 1060 1080 30.692 85.210 104.575 26.123 274.044 47.077 92.169 253.293 38.225 43.715 80.809 57.178 52.306 31.316 243.015 81.540 23.385 246.441 45.780 38.763 52.609 238.901 252.147 2650 2700 2750 2800 2850 89.794 62.707 45.466 39.073 105.516 76.251 30.222 58.544 24.344 35.238 44.033 251.513 275.470 251.179 51.780 50.517 48.914 276.041 23.730 1700 1720 1740 54.474 41.950 Çengel−Boles: Thermodynamics: An Engineering Approach.323 56.312 248.612 83.602 1600 1620 1640 1660 1680 51.813 32. CO Appendix 1 | 945 TABLE A–21 Ideal-gas properties of carbon monoxide.366 244.396 55.755 267.164 272.383 60.364 236.039 40.684 65.997 46.692 264.046 35.217 238.041 22.600 259.609 55.482 62.640 261.079 235.236 242.702 34.864 72.473 58.665 37.065 262.240 249.370 1300 1320 1340 1360 1380 40.480 1400 1420 1440 1460 1480 44.128 241.201 240.688 74.494 260.485 268.628 70.667 111.989 1860 1880 1900 1920 1940 60.537 87.406 24.253 266.345 78.961 64.029 22. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.236 258.012 266. 796 191.979 190.976 69.775 148.891 162.277 163.291 144.611 11.157 202.383 77.208 183.955 29.373 189.684 8.574 130.923 159.838 91.904 187.410 178.749 39.529 141.995 204.960 52.628 146.962 57.403 196.737 65.384 25.010 12.771 185.884 166.262 21.144 196.682 2800 2850 2900 2950 3000 89.386 48.069 55.645 156.463 186.707 75.636 127.580 32.558 67.385 640 680 720 760 800 18.311 58.378 136.440 6.645 39.211 66.630 20.429 56.100 8.765 129.328 157.233 0 5.268 130.229 198.612 139.235 19.839 160.300 168.708 50.133 13.698 173.335 63.835 31.125 840 880 920 960 1000 24.279 54. H2 Thermodynamics TABLE A–22 Ideal-gas properties of hydrogen.440 2300 2350 2400 2450 2500 71.604 78.154 17.530 26.175 193.617 5.148 189.303 50.990 30.765 951 .412 5.735 44.764 14.593 176.527 202.663 41.355 137.837 197.584 68.153 179.705 43.786 32.551 26.490 24.262 5.778 1240 1280 1320 1360 1400 36.607 188.539 198.773 10.192 27.159 193.885 201.966 20.Çengel−Boles: Thermodynamics: An Engineering Approach.755 82.976 14.401 70.522 9.291 179.502 37.297 480 500 520 560 600 13.926 102.268 200.364 31.100 9.027 6.652 175.601 23.687 177.098 19.747 27.171 13.186 88.061 79.888 143.671 93. Sixth Edition 946 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.002 40.936 9.947 53.074 47.719 128.713 34.683 47.468 8.839 73.988 23.358 97.948 29.554 60.523 203.654 37.114 2550 2600 2650 2700 2750 80.607 164.575 1040 1080 1120 1160 1200 30.234 200.037 51.179 7.945 8.359 25.280 9.428 183.027 28.080 46.636 171.724 380 400 420 440 460 10.328 70.453 19.451 12. H2 _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 260 270 280 290 0 7.592 205.831 72.622 51.807 21.594 13.520 152.181 205.028 35.284 167.512 95.400 40.935 16.432 145.652 181.754 132.008 59.821 15.375 18.632 182. 2008 Table A−22 Ideal−gas properties of hydrogen.669 195.889 172.820 298 300 320 340 360 8.863 154.031 61.598 192.680 42.746 33.921 194.518 8.190 186.209 5.802 34.106 140.039 1640 1680 1720 1760 1800 49.560 170.775 1440 1480 1520 1560 1600 42.119 64.391 203.847 66.798 58.370 7.907 199.263 41.621 134.668 36.853 7.668 60.941 62.426 12.187 1840 1880 1920 1960 2000 55.945 150.449 169.107 17.716 54.646 38.808 44.065 100.717 22.657 7.687 174.193 10.618 35.968 2050 2100 2150 2200 2250 63.995 180.669 16.843 11.152 76.168 78.106 28.558 84.368 86.822 0 126.545 73.973 184.350 14.989 6.667 106.608 75.793 104.091 45.680 10.510 3050 3100 3150 3200 3250 99.384 46. 904 6.219 7.831 600 610 620 630 640 20.413 15.247 204.487 188.470 223.466 5.920 213.631 9.402 20.629 33.961 8.428 15.232 8.342 23.720 222.771 194.856 216.295 7.426 227.139 185.635 31.139 900 910 920 930 940 31.966 10.510 19.081 196.699 14.791 188.765 21.098 192.973 227.071 300 310 320 330 340 9.148 19.678 20.403 202.425 184.247 34.869 12.202 229.240 230.662 24.075 211.466 6.777 16.268 18.716 6.160 201.135 12. H2O _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 220 230 240 250 0 7.126 16.513 9.320 950 960 970 980 990 33.125 195.767 232.358 26.321 228.472 25.741 27.975 16.061 35.742 8. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.813 11.345 24.998 9.517 226.978 215.639 10.184 .039 20.807 750 760 770 780 790 25. H2O Appendix 1 | 947 TABLE A–23 Ideal-gas properties of water vapor.627 8.551 10.318 19.628 7.436 24.527 218.339 20.779 23.529 214.579 14.920 197.296 9.472 7.347 231.652 11.720 650 660 670 680 690 22.616 187.980 25.741 20.521 200.601 18.497 204.763 229.228 32.331 12.799 208.588 26.218 25.952 Çengel−Boles: Thermodynamics: An Engineering Approach.245 21.576 180.125 27.285 260 270 280 290 298 8. 2008 Table A−23 Ideal−gas properties of water vapor.475 209.039 14.032 33.621 228.688 17.471 182.653 35.429 22.600 22.992 12.477 11.846 30.977 26.028 14.672 13.300 25.070 550 560 570 580 590 18.207 400 410 420 430 440 13.314 7.855 22.672 29.032 31.339 11.054 181.029 226.255 9.303 14.144 700 710 720 730 740 24.454 21.943 26.725 7.592 450 460 470 480 490 15.982 205.651 225.444 218.399 186.123 225.290 10.955 800 810 820 830 840 27.549 21.717 223.189 220.419 216.896 28.968 7.294 0 5.265 26.174 224.257 16.862 15.889 18.693 15.350 201.854 19.043 14.693 224.970 23.928 190.534 17.122 214.482 13.978 8.090 23.639 20.012 196.637 230.075 198.715 24.030 191.714 16.440 211.221 222.734 10.215 221.302 10.240 30.940 13.795 210.705 850 860 870 880 890 29.976 11.826 17.088 24.030 10.702 212.284 28.499 230.211 13.965 6.162 22.230 22.924 231.671 12.057 226.841 34.541 212.856 15.464 24.941 221.913 27.959 19.715 5.130 21.668 220.134 209.976 217.707 350 360 370 380 390 11.828 32.402 23.597 18.734 203.840 25.388 14.112 17.707 215.014 8.062 29.356 13.755 206.561 18.112 207.603 11.142 219.495 21.961 9.828 17.673 199.413 207.215 0 178.181 17.080 15.245 12.399 17.136 193.610 219.875 500 510 520 530 540 16. 194 288.989 44.917 104.542 264.022 1200 1220 1240 1260 1280 44.074 251.241 247.565 114.902 56.213 40.450 251.243 232.846 72.612 51.708 259.042 60.648 147.506 55.925 31.390 285.564 63.072 284.183 108.997 33. H2O Thermodynamics TABLE A–23 Ideal-gas properties of water vapor.550 53.059 264.434 38.589 3150 3200 3250 144.756 247.301 32.965 68.415 234.528 46.513 73.223 235.453 125.380 45.111 65.455 54.568 28.811 88.357 1100 1120 1140 1160 1180 40.071 40.509 30.137 47.942 59.290 255.703 255.267 55.820 2400 2450 2500 2550 2600 103.466 43.693 252.978 1400 1420 1440 1460 1480 53.201 276.540 60.450 257.698 236.642 43.562 98.273 55.081 1300 1320 1340 1360 1380 48.111 70.564 245.827 36.020 235.567 69.185 249.506 76.457 150.873 2900 2950 3000 3050 3100 130.756 953 .952 94.855 79.308 268.723 57.707 50.895 248.250 288.614 49.646 253.717 122.462 281.364 92.523 72.717 133.773 242.655 250.082 90.199 100.407 1500 1520 1540 1560 1580 57.243 245.547 58.000 38.868 111.959 111.286 277.102 1700 1720 1740 67.611 32.679 271.882 36.223 27.711 42.511 77.330 92.567 30.748 63.584 237.838 267.880 61.333 241.259 65.441 280.732 39.649 76.969 262.453 283.521 52.507 74.273 83.270 240.022 47.057 241.183 1960 1980 2000 2050 2100 80.692 116. 2008 Table A−23 Ideal−gas properties of water vapor.555 81.354 278.304 47.593 85.542 38.884 290.098 275.112 35.240 51.960 243.207 258.076 81.553 85.083 256.792 45.912 2650 2700 2750 2800 2850 116.915 246.600 1860 1880 1900 1920 1940 75.859 239.877 244.051 141.458 120.275 263.272 118.321 113.923 41.546 37.256 279.589 68.851 123.999 289.380 39.656 274.022 257.535 71.912 34.445 50.269 99.301 269.839 272.128 57.571 265.588 101.497 263.Çengel−Boles: Thermodynamics: An Engineering Approach.464 282.084 47.999 58.573 82.991 119.720 62.198 56.811 260.228 28.273 287.807 49.675 65.156 87.151 258.039 51.264 139.838 61.841 52.888 60.375 59.352 238.226 43.868 48.198 127.895 29.482 243.262 259.806 1760 1780 1800 1820 1840 70.543 249.351 54.111 254. H2O (Concluded ) _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 1000 1020 1040 1060 1080 35.338 286.256 46.513 254.582 2150 2200 2250 2300 2350 90.429 1600 1620 1640 1660 1680 62.508 106.846 106.403 35. Sixth Edition 948 | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.940 95.735 64.062 41.605 108.709 37.436 261.470 40.643 66.780 42.411 260.958 97.305 252.486 136.527 79.597 233.500 270.709 64.110 238.517 78.898 261.454 74. 811 49.751 198.851 38.746 41.183 23.936 52.378 63.196 206.151 202.605 44.482 42.079 172.564 43.954 Çengel−Boles: Thermodynamics: An Engineering Approach.088 186. 2008 Table A−24 Ideal−gas properties of monatomic oxygen.362 205.398 7.769 48.196 59.021 55.772 208.932 30.436 29.894 51.135 201.240 209.045 204.108 57.398 19.852 0 4.566 32.186 27.493 .932 205.560 27.783 206.892 11.588 204.064 56.678 195.679 20.425 65.332 35.143 196.279 210.389 207.940 31.152 58.720 71.193 32.234 36.220 37.119 203.820 33.150 34.434 24.447 34.961 36.703 35.314 0 160. O _ _ _ T h u s° K kJ/kmol kJ/kmol kJ/kmol · K T K _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 0 298 300 500 1000 1500 1600 1700 1800 1900 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3100 3200 3300 3400 3500 50.556 44.400 40.075 34. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.619 69.688 30.931 22.944 161.941 200.592 212.831 TABLE A–25 0 6.488 197.283 43.067 201.999 207.945 211.197 21.592 210.646 45.852 6.649 202.713 32.832 204.220 212.520 67.013 42.601 206.590 37.040 13.241 60.979 54.482 39.148 208.062 29.882 209.685 25.317 38.641 203.824 73.811 28.728 47.518 208.332 62.687 46.373 4.935 26. O Appendix 1 | 949 TABLE A–24 Ideal-gas properties of monatomic oxygen.286 61. 622 91.855 113.015 78.801 80.428 68.575 36.983 72.429 .418 85.468 256.186 62.642 236.539 82.927 98.Çengel−Boles: Thermodynamics: An Engineering Approach.749 11.879 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3100 3200 3300 3400 3500 0 9.505 62.188 9.095 96.442 93.093 260.499 252.189 85.339 55. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) 955 © The McGraw−Hill Companies.089 59.506 234.061 58.694 73.757 68.962 65. 2008 Table A−25 Ideal−gas properties of hydroxyl.708 46.235 261.447 106.952 64.116 247.799 251.932 71.706 56.987 54.162 69.046 49.572 63.763 102.806 61.628 249.088 250.309 88.642 48.358 66.995 87.641 52.832 255.578 117. OH Appendix 1 | 949 TABLE A–25 Ideal-gas properties of hydroxyl.547 246.592 82.186 254.301 51.530 254.221 243.594 183.323 47.809 33.212 248.864 253.917 244.338 247.955 219.697 _ h kJ/kmol _ u kJ/kmol _ s° kJ/kmol · K 77.672 238.181 30.919 259.388 84.177 69.236 0 6.187 252.712 257.740 245.266 95.687 66.364 250.145 109.606 240.347 262.806 89.462 75.431 59.094 256.709 6.624 232.779 198.077 243.123 46. OH _ _ T h u K kJ/kmol kJ/kmol _ s° kJ/kmol · K T K 0 298 300 500 1000 1500 1600 1700 1800 1900 2000 2050 2100 2150 2200 2250 2300 2350 0 183.024 21.453 242.055 38.123 43.571 41.400 73.673 79.312 57.968 50.570 70.820 76.358 52.244 15. 150 208.956 950 Çengel−Boles: Thermodynamics: An Engineering Approach.650 +39.70 126.790 +209.000 +472. 1971).70 Source: From JANAF.710 +16.80 282. Gibbs function of formation.190 +218.490 15.33 186.92 232.600 16.820 285.06 114.170 +68.850 126.280 5.830 136.16 200.68 191. 1 atm _ _ _ gf° s° hf° Substance Formula kJ/kmol kJ/kmol kJ/kmol · K Carbon Hydrogen Nitrogen Oxygen Carbon monoxide Carbon dioxide Water vapor Water Hydrogen peroxide Ammonia Methane Acetylene Ethylene Ethane Propylene Propane n-Butane n-Octane n-Octane n-Dodecane Benzene Methyl alcohol Methyl alcohol Ethyl alcohol Ethyl alcohol Oxygen Hydrogen Nitrogen Hydroxyl C(s) H2(g) N2(g) O2(g) CO(g) CO2(g) H2O(g) H2O(ᐉ) H2O2(g) NH3(g) CH4(g) C2H2(g) C2H4(g) C2H6(g) C3H6(g) C3H8(g) C4H10(g) C8H18(g) C8H18(ᐉ) C12H26(g) C6H6(g) CH3OH(g) CH3OH(ᐉ) C2H5OH(g) C2H5OH(ᐉ) O(g) H(g) N(g) OH(g) 0 0 0 0 110. .79 622.290 +455. Thermochemical Tables (Midland.890 +231..65 213. 1968.730 +52.520 241.670 238.530 +6. Selected Values of Chemical Thermodynamic Properties.150 +129.950 291.180 105.510 +34.80 188.120 32.930 200.410 103. and absolute entropy at 25°C.72 153.49 266.850 +226.000 166.94 269.150 394. 1953).460 0 0 0 0 137. and absolute entropy at 25°C.04 197.85 219.83 69.530 393.360 228.70 161.660 235.12 466.190 74. 2008 Table A−26 Enthalpy of formation.660 162. MI: Dow Chemical Co. 1 atm Thermodynamics TABLE A–26 Enthalpy of formation. Gibbs function of formation.360 168.83 229.010 +82.450 249.610 +50. Sixth Edition | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.280 84.63 192.30 183.570 174.310 277.720 23.83 269.590 50.59 160.690 +249.770 +203.590 237. and API Research Project 44 (Carnegie Press.73 360.20 239.680 +20.74 130.310 46.61 205.890 +62.91 310. NBS Technical Note 270-3. 20 2.44 2.1 cp kJ/kg · K Higher heating value.53 1.800 47.Çengel−Boles: Thermodynamics: An Engineering Approach.000 43. Multiply by molar mass to obtain heating values in kJ/kmol.570 41.340 45. kg/kmol Carbon (s) Hydrogen (g) Carbon monoxide (g) Methane (g) Methanol (ᐉ) Acetylene (g) Ethane (g) Ethanol (ᐉ) Propane (ᐉ) Butane (ᐉ) 1-Pentene (ᐉ) Isopentane (ᐉ) Benzene (ᐉ) Hexene (ᐉ) Hexane (ᐉ) Toluene (ᐉ) Heptane (ᐉ) Octane (ᐉ) Decane (ᐉ) Gasoline (ᐉ) Light diesel (ᐉ) Heavy diesel (ᐉ) Natural gas (g) C H2 CO CH4 CH4O C2H2 C2H6 C2H6O C3H8 C4H10 C5H10 C5H12 C6H6 C6H12 C6H14 C7H8 C7H16 C8H18 C10H22 CnH1.285 100–110 170 200 18 Density.9 2 32.8n CnH1.673 0.72–0.100 47.280 47.310 42.708 14.3 kJ/kg Lower heating value.123 70. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) 957 © The McGraw−Hill Companies.27 1.630 44.530 22.400 44.114 84.038 30.760 48.011 2.641 0.050 19.71 2.877 0.8nN0.740 40.200 42.600 44.88 — 1At 1 atm and 20°C.100 50.900 29.500 48.000 10.2 1. 2At 25°C for liquid fuels.500 44.970 51.100 45.7n CnH3.670 50.24 2.177 92.013 16.330 49.23 2.016 28.1 kg/L 2 — — — 0.730 0.043 32.069 44.430 44.21 2.3 kJ/kg — — — 509 1168 — 172 919 335 362 363 — 433 392 366 412 365 363 361 350 270 230 — 0.920 48.72 1.1n 12.161 86.4 2.32 1.2 kJ/kg Specific heat.204 114.800 10.141 100.660 49.800 45.84 0.100 55. 3At 25°C.500 0.42 2.097 58.500 50.800 120.84 2.042 26.77 2.100 44. Enthalpy of vaporization.810 46.890 47.703 0.300 46.520 26.4 1.000 32.790 0.910 40.640 47.75 2. and 1 atm and normal boiling temperature for gaseous fuels.800 141.134 72.05 2.150 47.070 46. 2008 Table A−27 Properties of some common fuels and hydrocarbons Appendix 1 | 951 TABLE A–27 Properties of some common fuels and hydrocarbons Fuel (phase) Formula Molar mass.684 0.87n CnH1.579 0.626 0.78 0.400 48.240 44.69 1.82–0.000 .150 78.20 2.231 142.78–0.660 0.790 — — 0.867 0.370 44. 895 5.874 1400 24. Sonntag.052 20.771 4.501 0.516 3600 0.169 0.285 18.768 5.208 60.019 2. H2 Δ 2H O2 Δ 2O N2 Δ 2N 298 164.329 56.921 9. MI: Thermal Research Laboratory.034 20.044 0.388 7.691 23.212 1..827 9.145 6.635 5. 1986).690 1. The Dow Chemical Company.657 8.318 2.429 0.888 1.099 13.743 6000 5. (New York: John Wiley & Sons.270 5.958 952 Çengel−Boles: Thermodynamics: An Engineering Approach.590 186.372 99.072 1.807 4.055 48.921 0.763 2.304 25.517 2800 5. 2008 Table A−28 Natural logarithms of the equilibrium constant Kp Thermodynamics TABLE A–28 Natural logarithms of the equilibrium constant Kp The equilibrium constant Kp for the reaction nA A + nB B Δ nC C + nD D is defined as Kp ≡ PCnC PDnD PAnA PBnB Temp.937 17.208 52. Thermochemical Tables (Midland.182 14.066 10.276 2600 6.176 1. English/SI Version.497 6.005 27.843 103.490 3.295 9.891 1.372 2.513 3.616 23.356 1.011 66.666 2.281 26.728 7.898 14.569 6.866 2000 12.660 9.111 0.871 13.486 5000 3.497 0.840 2200 10.935 0.599 2.701 1.197 3.086 2.975 105.931 3.719 3. Van Wylen and Richard E.685 3200 2.926 0.497 7.011 28.005 500 92. 1971).521 5.414 6.934 4500 2.630 45.937 2.686 0.945 0.030 14.216 0.622 11.645 36.051 41.312 0.451 1.245 1/ N 2 2 + 1/2O2 Δ NO 35. Fundamentals of Classical Thermodynamics.463 1600 19.800 15.019 0. .534 3400 1.114 1.689 2. table A.357 3.637 1800 15.513 1.671 2.433 3.150 35.14.353 2400 8. Sixth Edition | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.742 22.002 3000 3.120 3. p.391 32.963 367.609 3800 0.392 0.826 4.894 1.023 5. 3rd ed.996 1.920 1.812 3.725 5500 4. Based on thermodynamic data given in JANAF.088 0.576 1.803 1200 30.283 16.762 57.359 19.480 213.619 4.560 2.865 K H2O Δ H2 + 1/2O2 H2O Δ 1/2H2 + OH CO2 Δ CO + 1/2O2 92.529 17.341 Source: Gordon J.830 8.199 12.542 0.536 3.163 18.860 2.796 2.801 1. 723.202 4000 0.827 1000 39.148 5.609 11.826 8.117 22.127 80.842 10.294 4.032 106.648 3.832 4. 9 ura t a S 0 0.10 0.5 1.9 0.60 0 1. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) Appendix 1 7.00 4.20 1.100 FIGURE A–29 Generalized enthalpy departure chart.5 0.96 1.5 959 © The McGraw−Hill Companies.60 1.2 0 0 or vap 5 ted 0.5 1.4 0. 80 TR 0 1.25 0.60 6.96 1. SI Version (New York: McGraw-Hill.15 0. Howell and Richard O. Fundamentals of Engineering Thermodynamics.0 10 20 30 Reduced pressure.02 1.40 2.00 1.98 2.06 1. 0.0 0.0 Sa tur ate d 5. C. fig.08 0.75 0.40 2. Buckius. 2008 Figure A−29 Generalized enthalpy departure chart | 953 0.500 0.000 0 0.98 0.1 1.55 TR 0.80 4.85 0.0 2.5 4.05 0.2. 1987). 1.30 0.0 00 1.90 5.5 1.20 0.90 1. PR 0.70 1. p.40 1.3 0.400 = TR 0 0.50 1.65 0.20 0 3 1.00 2.75 0.5.00 0. fig.15 PR 0.94 1.0 0. .94 0. 1.25 3.80 3.5 2.0 4.2 0.0 0.85 0.00 0 0.Çengel−Boles: Thermodynamics: An Engineering Approach.9 0 9 = 0.300 SSa attuu rraa tteed dv vaap poo urr 0.5 0.70 6.60 0. and p.10 1.92 3.5 1.0 1.92 0.50 7.20 0. 2.80 liq uid 0.90 2.10 1.0 1.30 Source: John R.0 3.200 1.00 2.5 0.1 –– –– hideal – h hideal – h = ————– Enthalpy departure Zh = ————– RuTcr RTcr –– –– hideal – h hideal – h = ————– Enthalpy departure Zh = ————– RuTcr RTcr 0.0 5.04 1.0 0. C.80 2. 561. 558. 85 4. 561. p.60 1. 1987).0 Reduced pressure. SI Version (New York: McGraw-Hill.0 .60 1.0. 2008 Figure A−30 Generalized entropy departure chart Thermodynamics Entropy departure 10.04 1.0 9.0 TRr 8.95 00 FIGURE A–30 Generalized entropy departure chart.2 0.00 0.90 vvaa d d =0 tee TR rraat u u t t SSaa 0 1.80 0.0 0.0 0.85 3.20 0. and p.0 3.50 1.100 0.0 0.05 0.00 1.55 0.20 1. fig.0 1.5.0 0.96 0.00 2.96 0.20 1.40.98 1. 559.80 0.65 0. Buckius.40 1.90 0.0 0. C.94 0.0 5.60 2.02 0.94 0.20 1.0 0.94 1. or ted vap 0 Satura 0.| Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.30 Source: John R.500 urr ppoo .92 0.15 0. fig.3.25 0.02 1.98 0.92 0.75 0.00 3.200 0.10 1 1.50 6. Howell and Richard O.90 0.10 0.40 1.0 1.80 2.10 1.70 5.000 0 1.06 1.15 2. Sixth Edition sideal – s sideal – s = ————– Zs = ————– Ru R 960 0. PR 10 20 30 . C.40 1. Fundamentals of Engineering Thermodynamics.50 2.300 0.08 0.0 0. 1.1 0.400 0.5 4 1.60 sid igqau dedl artaet tautru SSa sideal – s sideal – s = ————– Entropy departure Zs = ————– Ru R 0.30 PR 7.0 1.10 1.0 4. 80 954 Çengel−Boles: Thermodynamics: An Engineering Approach.06 1.9 0 0.75 0.3 0.98 1. 0 1.0 1.0 0.0 0. Refrigerating and Air-Conditioning Engineers.8 10% re 20% C re ° 40 2 4 6 8 50 10 12 14 16 18 60 70 80 90 100 110 120 0.5 0.325 kPa –0 % me met 90 olu 2v ic cub 80 Appendix 1: Property Tables and Charts (SI Units) 70 Çengel−Boles: Thermodynamics: An Engineering Approach.6 0.9 Prepared by Center for Applied Thermodynamic Studies.7 | 0 0.0 5 30 15 n tio ra tu Sa tu ra pe 25 er 50 t En er sp le u jo ilo )k (h 60 y lp ha 80 30 er p dry 40 Enthalpy Δh —————— = —— Humidity ratio Δ am gr lo 70 ki y dr r ai 30 am gr kilo 0 0 90 100 4 0. Refrigerating and Air-Conditioning Engineers. University of Idaho.0 10.0 – 0.0 0.0 2.8 0 0.7 0.0 0.9 20 4.36 Appendix 1 FIGURE A–31 Psychrometric chart at 1 atm total pressure.2 ©1992 American Society of Heating.8 6 6 0.0 0.0 1.8 % 40 Dry bulb temperature °C % 50 30% 30 ity umid lative h 8 0.85 0.65 0.5 – 5. Inc.60 0.8 8 0.80 0.0 4. Sea Level . 15 20 °C 25 0. Sixth Edition 961 955 air ΔHS Sensible heat —————– = —— Total heat ΔHT Humidity ratio () grams moisture per kilogram dry air .45 0. 1 Normal Temperature Barometric Pressure: 101.75 0.0 – 2.5 3. Atlanta.1 • 3 0. % ASHRAE Psychrometric Chart No. 20 % 20 0% atu per em lb t t bu we 20 22 24 26 28 30 0.0 ΔHS – • Sensible heat —————– = —— – 24. 2008 2 0.0 ΔHT – . 10 2.5 5 10 10 m te re 4 0.4 –• 1.9 Reprinted by permission of the American Society of Heating..40 © The McGraw−Hill Companies.2 Figure A−31 Psychrometric chart at 1 atm total pressure 0 5.8 0. GA. used with permission. Inc.95 1.55 0.70 0.90 0.2.0 Total heat 1.50 0. 0019 0 1.4124 0.2 0.4390 1.4313 0.9243 0.7764 0.3894 0.0 1.0 A/A* Compressible flow functions 2.9635 2.4254 1.5311 0.2182 0.3398 1.0 2.8218 2.0000 0.0 T/T0 0.8 2.0935 0.0382 1.1841 0.7209 0.1472 0.0 Ma* 1.0 2.4252 0.4374 0.0304 1.0000 0.1667 0 3.1740 0.0944 1.2868 0.9921 0.8956 0.2502 1.0368 0.9725 0.7184 0.0684 0.8 3.6068 0.9146 1.5345 0.0050 2.3257 0.8251 0.1583 1.8 0.4031 2.9 1.8571 1.1094 0.9395 0.2999 1.9980 0.7922 1.8606 0.2361 2.4 1.0946 0.8333 0.0 .3142 0.5 1.1149 1.9564 0.2300 0.4647 0.1 0.0501 0.8405 0.0760 0.5081 0.2495 5.5556 0.9640 2.6330 1.3557 0.8852 0.0351 1.4 2.0113 0 1.2346 25.6 0.0 0 0.2 1.9107 0.5283 0.1882 1.0272 0.9823 0.4 Ma Ma* A/A* P/P0 r/r0 T/T0 0 0.5901 1.5 1.7840 0.7318 0.6339 0.1179 0.9803 0.2353 0.4 Thermodynamics k1 Ma*  Ma B 2  (k  1)Ma2 0.5 Ma 2.6 2.6 1.3571 0. Sixth Edition | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.0089 1.6560 0.4 0.000 1.6348 0.3 0.5 3.962 956 Çengel−Boles: Thermodynamics: An Engineering Approach.5 0.0 1.1278 0.0000 0.9328 0.2 2.9524 0.7916 0.7179 1.0 5.6614 0.9930 0.7400 0.5 2.9690 0.5001 4.9140 1.6875 2.8960 3.0000 1.5360 1.9950 0.6870 0.8865 0.8430 0.5(k1)(k1) A 1 2 k1  ca b a1  Ma2bd A* Ma k  1 2 k(k1) k1 P  a1  Ma2b P0 2 1(k1) r k1  a1  Ma2b r0 2 1 T k1  a1  Ma2b T0 2 TABLE A–32 One-dimensional isentropic compressible flow functions for an ideal gas with k  1.5 r/r* P/P0 0 0 0.7 0. 2008 Table A−32 One−dimensional isentropic compressible−flow functions for an ideal gas with k=1.0000 1.5913 0. 4075 2.2119 3.6 2.1375 2.5157 2.0610 21.2547 1.4814 0.4 | 957 TABLE A–33 (k  1)Ma21  2 Ma2  B 2kMa21  k  1 One-dimensional normal shock functions for an ideal gas with k  1.6636 3.2238 4.5632 2.4133 3.2937 7.8119 2.5157 1.1977 2.9989 0.3880 1.6790 4.9582 0.9298 0.0 5.3780 1.1 2.5833 0.6281 0.0617 0 1.9512 3.0 r2 /r1 3.7136 3.3895 0.8969 8.0 P02 /P1 P2 /P1 Normal shock functions 4.5133 1.5714 5.4990 0.7209 0.1418 5.0000 1.8571 4.4512 2.8050 2.5000 4.0000 1.1691 1.2450 1.7011 0.2 2.0000 0.5316 1.6405 0.9118 0.7 2.8127 0.5774 0.0050 6.0 2.4583 1.9 3.9928 0.3592 2.6404 6.3022 12.5261 9.7705 1.4956 0.4 2.5130 0.8569 1.3 1.8624 10.4 1.2 1.1200 2.0681 32.4882 0.0317 2.3 2.0 Ma2 P02/P01 0 1.8557 0.0 1.1909 1.0 T2/T1 2.6079 1.1654 6.7674 0.1328 2.4236 0.0 1.5613 0.4490 3.8621 2.000 1.8422 0.6335 5.3333 3. Sixth Edition Appendix 1: Property Tables and Charts (SI Units) Appendix 1 T01  T02 963 © The McGraw−Hill Companies.9783 5.5471 0.5 2.2050 3.6450 10.7165 7.5590 3.0 Ma1 2.Çengel−Boles: Thermodynamics: An Engineering Approach.6133 4.5 3.3429 2.9794 0. 2008 Table A−33 One−dimensional normal−shock functions for an ideal gas with k=1.6897 1.8952 0.1280 1.6742 0.8200 3.0000 1.6165 0.6875 1.0 1.0649 1.0000 6.1250 7.5231 0.5401 0.8 2.5694 11.7200 8.5000 29.8929 2.7 1.6684 0.4583 2.4350 0.5 2.9800 9.4752 0.6 1.8000 1.4152 0.8 1.3283 0.3383 8.0403 2.6695 5.5344 0.4601 0.0845 3.0 .0000 0.3416 1.0 4.2383 2.5533 7.8050 4.3202 1.0469 5.0492 3.0000 1.7860 0.0 1.1813 9.7397 0.5956 0.6667 2.1 1.3577 0.3333 18.1388 0.9 2.5 1.9468 2.0450 4.4 P 2 1  kMa21 2kMa21  k  1   P 1 1  kMa22 k1 r 2 P 2P 1 (k  V1    2 r1 T2T1 2  (k  1)Ma1 V2 1)Ma21 T2 2  Ma21(k  1)  T1 2  Ma22(k  1) P 02 Ma1 1  Ma22(k  1)2 (k  1)/[2(k  1)]  c d P 01 Ma2 1  Ma21(k  1)2 P 02 (1  kMa21)[1  Ma22(k  1)2]k(k1)  P1 1  kMa22 Ma1 Ma2 P2/P1 r2/r1 T2/T1 P02/P01 P02/P1 1.4800 6.5039 0.7629 3. 5289 0.0000 1.7561 0.0 0.8363 0.6970 0.2 0.3669 2.5711 1.0049 1.0 V/V * 1.5236 0.9118 0.3469 0.6 0.9343 0.5 Ma 2.7434 2.0 1.7 0.3159 1.4 Thermodynamics T0 (k  1)Ma2[2  (k  1)Ma2]  T 0* (1  kMa2)2 TABLE A–34 P0 2  (k  1)Ma2 k(k1) k1 a b  P*0 1  kMa2 k1 Ma T0/T 0* P0/P 0* T/T* P/P* V/V* 0.1918 0.4 0.7958 0.9639 0.6975 0.1314 1.4235 1.4335 0.3636 0.0 T0 /T 0* 0.0237 0.0 0.3 0.5 0.6151 0.3137 0.0194 1.0777 1.1246 1.0000 0. 2008 Table A−34 Rayleigh flow functions for an ideal gas with k=1.4177 2.4938 1.964 958 Çengel−Boles: Thermodynamics: An Engineering Approach.0 2.2 1.0000 0.5 Rayleigh flow functions Ma(1  k) 2 T a b T* 1  kMa2 Rayleigh flow functions for an ideal gas with k  1.0 2.2066 0.0000 1.4245 0.4545 1.2648 0.4611 0.9787 0.5957 1.7778 1.1141 1.2658 1.5 1.2346 1.2004 0.7901 0.5 P0 /P0* 3.8842 0.7242 0.1736 0.0000 0.4089 0.0 1.4444 0.9608 1.0468 0.0560 0.5882 P 1k  P* 1  kMa2 r* (1  k)Ma2 V   r V* 1  kMa2 3. Sixth Edition | Appendix 1: Property Tables and Charts (SI Units) © The McGraw−Hill Companies.5 1.1 0.0000 0.0 .1765 0.8731 3.5 T/T * P/P* 0 0 0.9929 1.0451 2.9110 1.5031 1.4 2.1985 1.6410 0.7934 0.7017 0.4046 1.5 3.4000 2.5745 0.3086 0.2294 0.9921 1.3403 1.4 2.6 2.8 0.0000 0.2679 1.0193 1.5290 0.6540 1.9 1.0753 1.8 2.8101 0.0245 1.4 1.5252 1.5505 1.2591 1.6089 0.6914 0.8189 0.0255 1.3556 0.8 3.9167 0.1566 1.9085 0.3149 0.0 2.2803 2.2727 2.2 2.6738 0.4038 0.1459 1.1756 1.8054 0.6 1.2564 1.0909 0.0000 0.0431 1.