tablas.pdf

TABLAS.TEMA 2 ´ Ap´endice I: Interpolacion. ´ atmosf´erica. Tabla 1. Propiedades del aire seco a la presion Tabla 2. Propiedades del aire seco a presiones elevadas. ´ Tabla 3. Entalp´ıa del aire a baja presion. ´ atmosf´erica. Tabla 4. Propiedades del vapor de agua a la presion Tabla 5. Propiedades del vapor de agua a distintas presiones. Tabla 6. Propiedades del vapor de agua. Tabla 7. Propiedades t´ermicas del agua l´ıquida. Tabla 8. Propiedades de los l´ıquidos. ´ t´ermica. Tabla 9. Coeficientes de dilatacion Tabla 10. Propiedades t´ermicas de los metales. Tabla 11. Propiedades t´ermicas de las aleaciones. Tabla 12. Propiedades t´ermicas de algunos no metales. ´ Tabla 13. Propiedades t´ermicas de algunos materiales de construccion. Tabla 14. Propiedades t´ermicas de algunos productos alimenticios. ´ atmosf´erica. Tabla 15. Propiedades de cambio de fase de divesas sustancias a la presi on Tabla 16. Propiedades termodina´ micas del agua saturada. Tabla 17. Punto cr´ıtico y punto triple de diversas sustancias. Fuentes: • Tablas y Diagramas de Ingenier´ıa T´ermica. Dpto. de Ingenier´ıa Energ´etica U.N.E.D. • Ingenier´ıa de los alimentos. R.L. Earle. Editorial Acribia, S.A. • F´ısica. Tipler. Ed. Revert´e. • F´ısica Universitaria. Sears-Zemansky-Young-Freedman. Ed. Addison Wesley. • Ingenier´ıa Termodin´amica. Jones y Dugan. Ed. Prentice-Hall Hispanoamericana. ´ • Ingenier´ıa de las instalaciones t´ermicas agroindustriales. S´anchez. Ed. S.P. Universidad de Cordoba. ´ INTERPOLACION ´ El uso o consulta de datos num´ericos tabulados es una actividad muy frecuente en F´ısica. Sin embargo, en las tablas solo figuran los valores para algunos puntos definidos. Si se necesita conocer el valor de la variable en un punto intermedio ´ cuya teor´ıa puede encontrarse en cualquier libro de entre dos valores conocidos es necesario hacer una interpolaci on, ´ Algebra. Resumimos aqu´ı las formulas b´asicas para calcular dicho valor en tablas de entrada simple y de doble entrada, ´ del error cometido. as´ı como una estimacion ´ de otra es decir y = f (x). Se identifican Tablas de simple entrada: Son aquellas en las cuales una variable es funci on ´ por tener el aspecto de dos columnas o dos filas superpuestas de n umeros. Lo normal es que nuestro valor (x) est´e situado entre dos tabulados. Entonces procederemos construyendo el siguiente cuadro: x1 x2 y1 y2 ´ donde x1 y x2 son los valores inmediatos menor y mayor que x. La formula a aplicar es: y = y1 + y2 − y 1 (x − x1 ). x2 − x 1 Por otra parte, el error de y viene dado por: ¯ ¯ ¯ y2 − y 1 ¯ ¯ ¯ ²x ²y = ¯ x2 − x 1 ¯ ´ de dos y = f (x, z). Presentan la Tablas de doble entrada. Son aquellas en las la variable dependiente (y) es funci on ´ forma de un cuadro con filas y columnas de numeros. Formamos un cuadro con los valores de las intersecciones de las filas y columnas correspondientes a las variables independientes contiguas a las nuestras. x1 x2 z1 y11 y21 z2 y12 y22 ´ Se aplica la siguiente formula: y = y11 + y12 − y11 y21 − y11 (x − x1 ) + (z − z1 ). x2 − x 1 z2 − z 1 ´ El error en y viene determinado por la ecuacion ¯ ¯ ¯ ¯ ¯ y21 − y11 ¯ ¯ ¯ ¯ ²x + ¯ y12 − y11 ¯ ²z . ²y = ¯¯ ¯ ¯ x2 − x 1 z2 − z 1 ¯ 4518 1.5323 0.0134 1.0429 1.81 38.64 26.0058 1.44 56.5405 0.0806 1.5951 0.0060 1.52 29.7622 0.04 20.38 ◦ t cp ρ k × 103 C kJ/kg◦ C kg/m3 W/m◦ C 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 1.73 54.1111 1.0639 1.95 41.18 37.0056 1.4043 0.0996 1.87 55.27 31.1020 1.94 61.4882 0.3866 0.59 53.4138 0.41 60.4090 0.68 22.0344 1.6621 0.3414 1.8756 0.1219 1.28 33.8150 0.54 37.6053 0.08 39.4451 0.01 56.0201 1.81 28.0926 1.0596 1.5853 0.03 63.9213 0.10 27.0782 1.61 33.0591 1.0074 1.6382 0.0080 1.7966 0.31 54.0286 1.57 57.1198 1.0064 1.33 59.0758 1.4950 0.2042 1.5020 0.3952 0.0123 1.0159 1.25 35.13 57.22 29.1177 1.29 50.1644 1.3824 46.72 50.40 44.0854 1.89 36.7158 0.01 27.0087 1.4187 0.45 39.1066 1.0268 1.08 24.0902 1.92 47.18 42.79 43.71 40.0710 1.4750 0.0186 1.3908 0.0568 1.2923 1.9996 0.1133 1.0058 1.0407 1.94 32.0544 1.4566 0.7306 0.0324 1.2467 1.Tabla 1: Propiedades del aire seco a presion ´ atmosf´erica.0146 1.0973 1.0064 1.86 21.0287 0.0523 1.0386 1.79 59.57 42.4395 0.5489 0.5757 20.0452 1.44 52.1088 1.1240 1.1155 1.0365 1.21 45.5141 1.7016 0.5244 0.0068 1.3997 0.0662 1.00 62.58 49.87 60.68 58.59 31.4237 0.15 49.0233 1.61 45.52 63.6499 0.87 25.9460 0.5819 1.0061 1.0734 1.0103 1.6748 0.29 24.94 34.0878 1.0057 1.5167 0.4626 0.33 40.4341 0.0217 1.6879 0.7461 0.02 48.24 58.0057 1.8342 0.59 35.01 44.0113 1.5665 0.0172 1.84 46.4508 0.8544 0.01 52.47 62.49 23.8979 0.91 30.0615 1.6159 0.1260 0.4687 0.0250 1.55 ◦ .0949 1.9721 0.4815 0.1043 1.0499 1.5575 0.1273 1.7790 0.0305 1.86 51.0475 1.0830 1.3944 1.0686 1. t cp ρ k × 103 C kJ/kg◦ C kg/m3 W/m◦ C -50 -40 -30 -20 -10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 1.16 53.5093 0.0095 1.6268 0.0924 1.4288 0.47 48. 0475 2.0213 1.2147 1.1783 0.1787 1.0732 0.072 0.0349 1.107 5.080 4.0235 1.0291 0.0825 0.0536 0.350 4.807 0.0314 1.1829 1.2130 1.0533 1.18.0732 0.1690 1.141 100 0.1424 1.0235 1.5418 2.58 0.0320 1.0638 1.821 4.0252 1.1124 0.1764 0.665 8.055 2.0314 1.0303 1.930 7.1603 118.0372 1.0989 1.0185 1.6281 0.008 1.2477 1.2163 1.0536 0.201 8.20 0.0047 1.293 0.0863 85.0921 0.10 0.2506 21.15 .193 0.8821 0.76 0.0921 0.465 3.7430 217.762 2.4645 0.0427 0.2521 0.835 0. k en kWm−1◦ C−1 .59 .56 0.3529 0.2494 0.760 7.1807 2.2477 1. cp en kJ kg−1◦ C−1 .2671 2.3200 1.1411 0.0203 8.933 11.8817 1.0445 18.410 2.3367 0.0536 0.0252 1.0825 0.3204 17.0427 0.0512 1.2172 24.0638 0.2013 0.5880 0.0521 1.0195 11.0625 2.1716 2.34 0.0044 1.325 1.983 17.0825 0.725 k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ k cp ρ 1 0.0258 1.1124 0.1415 1.0372 0.0993 1.390 30.46 0.0825 1.0504 0.762 3. 0.2206 0.1122 0.1787 1.1948 0.1133 1.0638 0.1842 25.725 2.175 2.2477 1.177 0.0732 0.0428 1. ρ en kg/m3 t(◦ C) -75 0 25 125 225 325 525 725 925 1.0732 1.0921 0.99 0.80 0.0053 0.1449 1.2152 0.0182 1.0316 1.165 4.2481 0.006 12.0638 0.Tabla 2: Propiedades del aire seco a presiones elevadas.0372 0.0427 1.0976 0.0732 0.2130 1.58 0.1126 0.0825 1.629 20.035 27.744 15.0921 1.3204 0.1787 1.0825 1.0638 1.2941 0.8149 1.0732 1.1478 1.1121 1.6063 11.125 1.0825 0.0372 0.0732 1.2134 1.234 1.3238 1.7055 1.32 0.70 0.168 0.7058 0.1043 1.1419 1.0224 12.3229 1.1089 1.0536 1.0053 1.1808 1.9282 1.2130 0.0536 0.0921 1.0536 1.395 17.0980 1.8570 0.0921 1.1764 0.1149 ´ PRESIONES EN ATMOSFERAS 4 7 10 40 70 0.0921 0.936 24.515 9.1122 1.768 0.0132 0.519 13.3263 1.0427 0.4410 0.2485 1.6937 1.0.0372 1.861 23.0638 0. 7 171.1 -36.15 301.15 473.00 2.15 521.15 340.20 42.15 237.35 65.9 182.2 196.2 -65.0 131.1 232.15 439.25 51.2 234.15 363.15 502.31 60.33 62.15 500.15 240.2 -54.15 309.15 520.53 88.8 179.15 542.15 302.8 T K 489.28 56.15 433.15 h kJ/kg 218.15 352.36 67.15 276.2 -70.15 244.2 139.6 170.21 44.15 213.15 310.15 h kJ/kg -71.15 434.15 423.15 230.15 430.15 527.15 492.2 265.1 -23.12 26.9 123.15 265.15 354.9 118.022 6.1 262.2 145.1 -29.15 464.1 -34.15 253.1 193.15 279.15 320.15 504.7 251.15 503.15 208.15 385.15 369.4 242.15 291.15 410.04 -8.15 350.6 211.7 110.15 216.1 -18.21 T K 318.15 270.15 458.15 419.1 194.15 366.15 323.15 236.15 250.15 422.30 59.15 388.1 -40.15 335.15 437.08 19.15 242.15 334.15 278.58 93.2 142.01 3.15 525.15 498.15 243.15 491.4 241.15 523.1 134.7 173.60 95.1 -37.15 416.15 341.4 271.3 268.1 -41.2 263.15 239.15 296.15 384.15 218.15 h kJ/kg 102.15 283.07 16.34 64.15 267.3 149.15 299.01 -1.5 210.15 249.26 53.29 57.4 270.15 452.15 339.7 104.15 476.5 244.15 469.2 140.15 429.027 7.1 -42.15 460.15 226.6 276.0 226.15 293.15 353.8 253.46 80.15 379.16 35.15 392.15 347.15 220.19 41.15 405.15 290.44 77.15 32.8 111.7 101.9 181.15 524.15 512.33 63.15 231.7 .15 252.15 316.15 501.1 -33.3 152.15 386.15 224.15 332.15 393.7 109.15 396.15 510.2 264.15 471.15 404.7 108.5 243.5 161.00 1.15 266.0 128.15 275.2 -69.15 488.22 46.5 207.15 365.1 -32.12 25.4 158.3 147.15 475.2 143.4 240.15 484.15 269.15 465.15 211.1 135.15 228.2 -60.15 518.15 529.15 311.0 258.15 417.15 378.8 219.06 15.15 272.9 222.15 245.15 31.14 29.8 177.45 79.0 188.1 230.02 -4.15 415.15 328.7 T K 375.15 445.9 125.06 14.7 215.3 202.15 342.0 126.41 74.8 117.26 52.1 -21.3 267.15 420.44 78.1 -49.5 209.3 148.15 304.2 141.15 370.5 164.15 431.15 505.1 -17.15 545.15 225.15 246.35 66.5 208.15 455.15 322.15 381.15 315.15 271.9 121.11 22.15 280.9 180.9 184.0 129.15 442.15 307.15 532.15 414.17 37.5 273.15 461.8 178.15 357.2 150.8 115.15 389.15 273.05 13.15 287.42 75.15 336.15 435.18 39.01 -2.2 -67.5 272.15 227.1 231.15 376.7 217.15 264.1 191.39 71.15 513.2 -52.64 99.22 47.15 466.15 402.13 28.1 138.1 -43.038 10.15 205.01 0.Tabla 3: Entalp´ıa del aire a baja presion.15 536.7 103.6 212.3 266.15 453.15 534.15 399.05 12.15 403.8 112.15 268.15 485.20 43.15 343.15 390.15 238.3 238.57 92.15 515.04 11.15 427.15 337.24 49.15 387.2 -64.15 382.32 61.02 -3.8 220.1 -39.15 314.15 383.50 84.15 351.15 514.0 260.0 127.48 82.15 535.034 9.37 68.15 288.15 421.0 130.28 55.15 308.1 -35.15 486.5 245.15 214.3 236.15 360.15 519.55 90.0 186.15 406.1 T K 260.12 24.15 361.15 516.0 227.7 107.8 176.15 481.0 132.15 327.3 239.0 187.15 303.6 248.15 229.15 292.15 408.7 106.08 20.15 300.15 446.15 531.15 356.51 86.15 368.15 449.49 83.15 277.15 478.56 91.1 -19.15 33.15 346.15 507.1 -25.15 426.15 294.15 297.15 543.15 207.6 169.43 76.15 256.9 119.15 338.15 541.15 313.15 493.03 -6.15 373.15 217.15 468.15 459.15 321.27 54.15 259.1 -45.6 166.59 94.15 462.9 257.1 -26.15 212.15 215.15 528.0 133.6 274.15 409.15 235.51 85.15 400.15 h kJ/kg -13.15 511.15 233.15 483.976 5.15 285.15 454.15 358.1 -38.2 -59.15 255.0 259.4 156.4 204.15 325.6 168.8 116.30 58.6 246.15 349.15 412.15 457.15 397.15 364.15 222.2 -56.1 137.61 96.4 157.15 206.2 233.1 -15.2 195.0 228.47 81.15 438.15 h kJ/kg 45.15 257.15 401.2 -68.4 154.15 306.15 425.15 530.04 -7.4 205.3 199.15 263.15 h kJ/kg 160.07 18.15 209.15 424.15 509.15 533.15 371.4 155.1 -24.9 254.15 221.15 443.2 197.3 146.15 480.1 -12.13 27.65 100.15 526.15 463.15 490.15 344.15 359.8 114.7 172.15 467.15 234.15 241.15 539.7 250.9 223.1 261.15 281.4 206.3 201.15 470.41 73.7 214.15 374.15 274.38 69.15 331.15 329.40 72.15 223.15 380.15 413.6 275.1 -27.15 479.2 235.15 372.15 295.8 113.7 105.1 -20.15 411.17 38.9 120.15 258.1 -30.15 395.15 497.2 -58.1 192.15 355.15 289.5 162.2 -55.7 174.6 213.15 394.2 -53.2 144.15 284.15 317.15 330.5 163.15 282.7 216.15 474.62 97.19 40.5 159.3 237.1 -28.6 165.15 456.03 -5.15 538.15 407.2 -61.15 477.15 312.23 48.15 436.15 204.8 221.0 189.4 203.15 398.15 286.6 167.15 494.15 447.15 440.15 377.15 441.2 198.15 326.1 -44.9 122.15 537.63 98.2 -63.1 -22.2 -66.15 508.15 444.15 261.15 232.031 8.15 540.15 506.15 254.38 70.15 451.9 255.15 345.15 482.1 136.54 89.16 34.15 544.1 190.15 496.15 499.7 249.24 50.1 -46.15 324.15 362.1 229.07 17.15 248.15 495.17 36.15 219.1 -16.2 -51.12 23.1 -47.15 487.15 367.15 450.15 247.5 T K 432.15 418.14 30.3 200.3 151.6 247.4 153.9 225.15 251.2 -57.52 87.15 522.15 517.15 391.4 269.15 448. ´ T K 203.15 298.15 428.15 319.8 252.1 -31.1 -10.10 21.0 185.2 -50.15 348.15 472.15 305.1 -14.8 175.15 333.15 210.1 -48.05 -9.01 3. 15 744.8 415.15 720.4 467.5 468.15 697.2 290.15 780.15 602.2 373.15 619.15 728.7 565.1 435.15 718.15 622.2 591.15 601.15 555.15 829.15 700.15 643.15 615.8 365.0 351.15 839.15 745.0 610.3 293.15 739.15 852.15 747.15 591.15 585.15 807.15 657.3 527.5 411.15 738.15 732.7 483.5 529.15 751.5 604.1 353.7 645.15 737.6 625.4 562.15 711.15 651.3 423.Tabla 3: Entalp´ıa del aire a baja presion ´ (continuacion) ´ T K 546.0 387.15 793.15 620.15 884.15 792.15 647.15 777.6 323.15 692.15 874.15 605.15 842.0 524.5 643.15 637.15 688.6 412.15 789.15 865.15 627.15 558.15 858.3 538.15 706.2 464.15 698.15 813.0 512.15 656.6 299.5 493.15 797.15 596.2 291.15 638.4 377.15 551.2 477.0 558.15 788.4 394.1 640.8 497.9 308.15 824.15 593.15 763.5 321.3 478.1 372.8 281.9 433.15 571.15 866.15 795.5 441.9 599.15 875.15 693.3 392.15 742.15 794.15 879.15 885.9 .15 669.9 461.15 864.15 724.15 841.6 379.15 871.15 832.6 300.2 355.4 642.8 346.4 528.4 T K 831.15 725.15 727.15 568.6 615.0 352.7 496.5 506.8 555.15 750.15 882.15 592.15 773.8 444.15 589.5 481.9 534.15 754.15 672.15 614.6 442.15 626.15 822.2 537.3 356.15 854.1 489.15 572.4 409.2 450.2 514.15 610.3 632.15 729.9 546.5 395.15 685.8 566.9 523.1 525.4 623.9 511.15 575.15 658.9 485.5 298.15 873.15 868.15 886.0 286.8 544.15 702.4 410.15 559.0 369.15 803.7 398.15 767.4 551.15 823.6 427.9 416.15 840.5 633.8 576.7 531.15 855.6 564.15 654.15 826.15 863.15 719.15 814.7 413.9 402.15 775.1 536.15 756.15 752.15 801.7 363.3 491.15 584.3 602.15 778.2 422.15 759.15 833.9 638.0 475.15 861.15 630.15 588.9 282.6 494.15 h kJ/kg 277.0 434.0 462.15 708.15 853.15 783.1 420.15 837.9 578.15 764.15 595.5 573.0 569.15 828.4 318.6 595.15 766.15 562.0 535.15 580.5 584.15 830.15 586.4 424.15 870.15 661.15 675.2 390.15 716.2 314.6 574.2 335.15 632.15 816.15 590.15 883.15 652.15 876.0 500.5 360.15 644.15 746.15 707.15 731.1 601.5 505.15 667.9 350.15 574.15 784.7 364.0 370.8 326.15 817.3 452.5 541.15 582.15 597.1 559.8 607.3 338.2 502.0 579.15 781.15 553.4 480.7 325.15 753.15 838.3 466.15 624.3 479.15 800.9 459.15 649.15 573.9 619.3 465.15 676.15 818.8 617.9 445.15 765.15 862.2 621.5 614.8 472.15 560.3 641.15 594.5 426.7 303.15 709.15 787.8 430.15 757.2 560.15 636.15 569.15 679.15 734.15 583.15 867.2 406.15 694.15 613.15 570.6 343.15 796.7 471.15 860.15 641.3 503.15 726.6 519.15 695.8 383.1 630.3 612.15 798.15 564.2 407.15 681.2 391.2 526.4 453.4 603.8 400.7 324.15 h kJ/kg 520.4 490.1 333.15 607.15 621.9 348.5 297.15 549.3 294.1 590.15 655.5 440.3 317.0 285.9 499.2 611.0 311.9 384.9 557.8 347.7 596.15 806.7 382.1 620.15 735.6 428.15 804.15 579.6 530.15 547.7 470.15 650.15 786.4 439.1 548.15 563.15 548.4 296.7 543.8 521.6 634.7 345.15 846.4 393.4 340.8 304.15 877.0 448.6 362.15 848.9 328.7 344.15 758.15 815.8 305.15 722.15 631.15 618.15 857.15 740.15 616.5 552.8 T K 717.15 677.15 762.15 769.15 712.15 599.15 699.6 380.3 516.0 629.15 696.15 847.7 586.5 594.7 443.15 556.15 770.15 566.15 748.7 457.9 628.8 366.7 616.15 642.15 663.15 617.15 779.2 490.6 605.6 322.15 666.15 598.15 849.15 790.15 561.7 429.0 309.0 639.9 487.5 454.1 288.15 h kJ/kg 458.8 327.8 636.1 501.15 772.15 835.15 761.9 447.15 623.15 703.15 721.15 887.15 843.15 705.15 819.6 542.0 403.15 577.4 359.15 771.15 670.15 639.1 312.15 799.9 589.8 597.15 683.0 310.15 714.2 631.15 736.15 h kJ/kg 337.9 418.15 662.15 686.3 561.7 T K 774.8 399.3 571.15 671.15 810.15 550.1 371.5 341.15 768.3 592.1 570.15 648.15 689.6 507.8 279.15 844.5 378.4 540.15 811.15 567.15 808.15 760.15 880.15 659.15 684.15 600.15 850.9 284.7 635.4 339.8 626.2 336.6 T K 660.15 678.7 575.7 302.2 451.4 376.15 552.5 320.6 482.15 674.15 673.2 549.15 704.3 438.5 342.7 381.0 332.15 576.4 593.3 316.2 315.4 425.15 741.15 606.0 600.4 572.7 495.15 812.15 635.15 612.15 578.15 680.8 280.15 611.15 827.15 743.5 361.9 306.15 825.15 869.6 301.15 634.15 802.15 581.3 T K 603.2 436.3 550.15 791.5 455.1 389.1 354.3 357.3 539.15 554.15 608.3 375.1 405.15 782.0 488.3 622.15 872.8 587.9 431.15 785.1 289.6 644.2 581.1 421.4 517.15 755.15 805.8 484.15 776.9 386.1 580.15 h kJ/kg 583.4 358.8 509.0 287.5 563.0 547.6 553.15 851.7 508.9 609.4 319.6 396.2 437.6 456.0 331.15 710.15 701.15 628.5 518.15 625.0 404.15 587.15 609.9 568.9 330.5 624.7 606.15 664.1 334.15 665.15 557.1 513.15 690.15 687.2 292.8 532.15 749.15 715.9 368.9 474.15 859.15 836.15 730.15 633.15 713.3 515.0 388.4 613.15 691.15 845.2 313.15 723.7 278.15 821.3 374.15 733.15 682.0 419.15 668.3 408.7 554.15 834.15 878.4 504.15 820.1 463.4 295.15 565.15 809.15 645.15 640.3 582.15 653.15 646.15 881.15 856.15 604.6 469.15 h kJ/kg 397.1 449.6 585.1 476.15 629.7 414. 5 865.15 1143.15 1174.15 1188.7 965.15 1099.8 708.15 939.2 848.4 756.2 833.15 980.7 782.15 1133.3 856.15 1146.3 1030.1 941.3 763.15 1125.7 733.9 981.15 1117.15 1197.15 1148.4 739.15 1167.15 h kJ/kg 647.9 760.15 1172.9 710.0 761.15 1013.15 1094.15 918.15 1074.15 969.15 1098.0 876.9 861.2 1010.6 749.7 821.7 829.8 815.6 662.0 702.15 1126.1 855.0 947.15 1093.15 1151.15 1226.15 979.15 1047.8 875.15 1108.15 1216.1 847.15 1001.3 956.1 982.15 1026.15 1027.8 960.15 1198.3 990.15 1035.15 1065.2 996.15 1006.15 1005.1 1016.15 1157.15 1062.3 949.6 916.15 1044.15 1120.6 985.7 672.15 1036.2 885.15 964.4 661.0 975.3 803.15 1181.15 1087.9 657.8 853.15 1078.0 728.0 869.5 850.15 1070.9 684.3 669.15 1184.1 948.1 770.6 873.7 836.15 919.15 955.1 720.5 706.3 871.15 993.15 1113.15 1049.0 777.15 1109.15 924.8 938.9 831.15 938.15 1012.15 1193.9 792.4 943.9 1039.15 988.4 731.5 715.15 1131.15 1097.0 648.15 1147.6 944.7 654.4 970.9 727.7 844.15 930.15 1110.1 1009.7 716.8 798.6 698.7 725.6 887.9 .0 667.15 1072.15 1138.15 1104.15 916.1 920.4 705.1 809.3 722.15 1132.6 923.15 h kJ/kg 907.15 911.8 742.7 866.15 914.3 900.15 1041.15 1102.15 1010.15 1149.6 992.5 723.15 1150.15 1100.15 896.15 1206.15 953.15 1122.3 T K 1059.15 1019.1 729.15 1081.15 1015.15 1025.15 913.6 820.15 974.5 998.15 1163.7 774.4 886.15 1008.2 746.8 1006.5 835.15 925.15 1177.15 903.5 680.15 920.9 1028.15 995.15 1211.7 979.15 899.15 968.15 934.15 1171.4 827.15 1111.15 1021.15 1165.9 933.15 890.15 1107.6 707.15 1169.7 758.0 961.15 1142.2 1036.4 915.8 946.15 1103.15 1037.8 T K 1002.9 T K 1173.15 1220.15 1199.15 972.15 1069.15 895.1 906.2 704.15 1217.15 976.15 922.6 1038.15 1161.15 1227.5 964.5 671.15 904.15 1068.15 966.15 959.15 901.0 968.5 689.15 1130.1 703.15 1048.0 793.15 1141.15 982.15 1178.15 917.1 913.2 721.2 650.15 1192.15 1043.7 1019.15 897.3 651.15 970.7 895.15 967.15 985.5 804.1 694.5 950.2 892.6 880.15 1052.3 942.8 750.15 1076.3 747.15 915.15 1080.1 877.7 690.2 810.15 1030.15 892.5 872.9 769.15 1185.15 1114.15 1096.4 679.15 1166.3 928.8 655.2 898.15 977.15 1152.15 905.8 881.15 1201.1 832.15 894.15 1219.15 961.15 933.5 1018.0 912.3 1017.15 898.15 1196.6 724.15 1204.6 1012.8 664.15 1032.2 695.0 685.15 952.7 766.15 1077.6 978.4 764.15 986.1 1029.15 963.1 801.15 1200.15 1020.6 797.6 781.6 958.1 762.6 789.15 973.5 732.15 1106.15 935.15 1176.15 1208.15 992.15 1183.15 1156.15 1058.1 712.1 840.2 870.5 1011.15 944.7 1032.2 659.15 893.1 737.15 1042.15 1009.5 991.5 857.9 693.15 1056.15 1195.15 1090.15 928.8 1026.0 T K 945.8 673.15 1045.8 784.15 962.15 1214.3 730.6 858.15 912.5 652.15 1136.3 660.15 1213.1 1022.1 989.4 780.15 1054.0 919.0 995.7 790.15 954.15 960.15 1210.15 948.3 826.15 1128.15 1075.15 1170.15 1086.9 883.15 1218.15 h kJ/kg 974.15 941.9 744.15 1155.9 1008.6 653.9 752.15 1011.9 736.15 1134.15 1084.15 h kJ/kg 776.0 753.4 697.15 1063.2 794.3 818.0 898.15 900.15 1046.1 1002.0 1015.8 1014.Tabla 3: Entalp´ıa del aire a baja presion ´ (continuacion) ´ T K 888.15 1034.15 1038.15 999.15 1154.0 854.5 812.15 1101.8 806.8 918.15 1137.2 1023.15 1209.9 1021.15 946.3 921.15 1028.8 931.15 1051.8 823.4 688.4 977.8 682.3 935.15 1000.0 891.15 1191.4 772.1 658.15 929.8 911.2 738.15 937.15 996.15 947.15 965.5 901.7 813.7 999.6 757.4 936.15 902.0 785.1 677.2 878.15 1029.15 1221.15 1004.15 1160.8 734.15 h kJ/kg 841.8 717.3 997.15 984.0 824.15 1186.15 1180.15 990.15 h kJ/kg 711.15 1053.15 1018.6 1005.15 1040.15 1060.15 1118.15 1207.4 984.6 937.15 906.15 1164.9 1001.15 907.6 843.15 1095.15 1194.7 681.9 719.0 839.1 825.15 1071.15 957.7 902.15 1061.15 1007.15 931.2 686.4 1024.15 1115.15 1055.15 1014.15 1121.4 929.15 1124.15 951.7 851.7 972.15 1088.15 1082.15 942.4 819.1 786.4 714.15 1057.8 691.4 842.15 1203.1 927.15 940.5 894.15 956.15 1017.8 1034.15 1112.9 953.15 949.15 1168.15 1175.15 1022.3 687.15 971.15 1182.6 773.6 909.6 951.15 975.15 1202.1 778.0 954.9 666.2 802.3 771.15 1225.6 930.15 989.15 1212.2 962.15 991.15 927.15 943.1 649.15 1127.6 805.3 779.3 678.3 755.15 997.1 745.15 1153.15 983.9 890.0 1035.15 950.5 1031.15 1205.9 940.1 934.4 893.15 1016.3 914.6 741.6 1025.15 910.15 1123.2 668.15 1083.4 864.15 1089.15 1159.4 834.15 909.2 969.8 859.15 1228.15 1105.15 1158.15 1215.1 884.8 701.15 936.15 932.8 838.4 1037.15 1224.5 748.15 1092.2 976.15 1229.15 994.9 768.15 1085.15 1066.5 740.0 816.8 986.2 1003.6 765.15 1162.15 1033.7 888.3 795.5 796.15 1050.4 811.4 879.15 1145.15 987.9 800.15 1129.15 1139.1 955.8 868.15 1190.2 754.15 891.2 983.2 863.4 788.4 1004.3 713.15 981.15 1140.9 808.4 922.8 994.8 904.15 1067.3 963.5 908.15 1031.5 971.15 1039.15 1135.15 1187.15 1023.9 926.15 1144.3 787.15 1223.15 958.15 978.1 862.15 1179.15 926.15 1091.15 889.6 828.9 675.1 817.15 908.15 1222.15 923.0 905.3 T K 1116.15 921.8 924.9 988.15 1064.15 1003.7 699.8 967.5 957.15 1024.15 1079.4 849.0 676.15 998.9 846.3 696.15 1189.8 897.15 1073.7 663.4 670.15 1119. 1 1042.3 1212.4 1164.15 1378.15 1265.3 1126.5 1070.15 1271.15 1325.15 1376.15 1373.8 1167.6 1077.15 1284.15 1306.15 1375.2 1132.3 1088.15 1370.2 1169.6 1140.15 1299.15 1270.6 1159.6 1058.4 1050.15 1267.15 1275.4 1170.2 1062.15 1355.15 1315.7 1202.9 1086.9 1216.5 1146.15 1327.1 1107.9 1054.6 1165.7 1196.15 1242.5 1213.15 1274.15 1259.3 1200.15 1258.7 1128.15 1377.15 1307.15 1358.7 1097.15 1281.15 1240.15 1250.15 1243.15 1324.15 1319.15 1279.0 1174.15 1336.1 1106.7 1045.15 1314.2 1138.1 1217.15 1248.0 1131.5 1152.7 1214.15 1286.5 1127.15 1360.15 1288.15 1329.0 1162.1 1100.15 1326.15 1290.9 1067.4 1139.8 1173.1 1119.15 1269.15 1296.15 1298.15 1305.15 1353.9 1130.15 1331.15 1232.5 1102.9 1155.2 1081.15 1302.7 1153.2 1094.15 1235.15 1272.6 1115.6 1090.1 .15 1310.15 1347.15 1364.3 1056.7 1084.15 1252.5 1195.1 1193.5 1201.7 1065.0 1180.15 1237.15 1283.7 1190.15 1346.15 1337.2 1163.1 1156.15 1352.7 1184.15 1246.9 1198.0 1061.15 1349.15 1289.15 1368.8 1047.15 1338.15 1339.15 1371.1 1150.15 1303.15 1282.4 1114.6 1109.15 1304.15 1379.0 1048.8 1136.4 1076.15 1369.15 1294.15 1374.15 1251.15 1317.2 1049.15 1340.0 1093.5 1057.15 1266.15 1313.15 1292.6 1171.15 1343.15 1382.1 1144.15 1297.2 1113.15 1262.5 1189.15 1341.4 1089.8 1111.15 1320.9 1223.9 1149.15 1316.6 1134.0 1080.8 1092.5 1121.9 1099.15 1359.15 1273.9 1210.3 1188.4 1133.15 1372.6 1096.15 1380.15 1264.15 1285.15 1253.15 1295.15 1308.15 1247.7 1103.15 1263.Tabla 3: Entalp´ıa del aire a baja presion ´ (continuacion) ´ T K 1230.15 1231.15 1236.3 1043.0 1137.3 1219.8 1117.15 1332.0 1112.15 1280.9 1204.3 1145.0 1168.15 1318.15 1277.15 1366.15 1356.15 1276.3 1157.15 1244.15 1361.15 1333.15 1278.1 1055.15 1342.15 1241.15 1350.15 1335.9 1124.6 1177.4 T K 1287.9 1073.1 1187.8 1161.5 1083.15 1357.15 1293.15 1323.1 1068.3 1120.6 1051.7 1122.7 1221.15 1328.15 1345.1 1199.15 1260.15 1256.1 1125.4 1182.15 1309.7 1147.15 1249.1 1211.15 1351.7 1071.8 1179.15 1311.8 1079.15 1365.15 1268.15 1257.1 1087.0 1074.15 1291.3 1069.8 1060.15 1354.15 1330.15 1322.2 1181.3 1151.5 1044.3 1194.15 1348.6 1064.15 1362.15 1239.9 1105.15 1312.15 1233.9 1192.15 1334.15 1234.7 1208.9 1186.15 1255.15 h kJ/kg 1041.15 1238.3 1206.15 h kJ/kg 1108.2 1075.7 1141.5 1183.2 1175.5 1158.15 1300.5 1207.3 1082.15 1321.7 1052.3 1101.15 1367.15 1261.15 1381.4 1095.15 1363.4 T K 1344.0 1118.15 1254.15 1245.5 1220.15 1301.15 h kJ/kg 1176.1 1205.9 1143.4 1063. 15 550. Temperatura Densidad T Calor espec´ıfico ρ Coeficiente de ´ dilatacion t´ermica (kg/m3 ) β · 103 (J/kgK) cp (1/K) K 380.0379 0.54 1.15 ◦ Conductividad t´ermica k (W/mK) C 107 127 177 227 277 327 377 427 477 527 577 0.15 700.15 450.0592 0.0339 0.0261 0.3140 0.2579 2.4902 0.15 850.0299 0.43 1.Tabla 4: Propiedades del vapor de agua a la presion ´ atmosf´erica.0422 0.5542 0.18 2060 2014 1980 1985 1997 2026 2056 2085 2119 2152 2186 0.2931 0.33 1.0464 0.50 2.22 2.15 650.5863 0.67 1.0505 0.15 600.4005 0.15 800.15 400.82 1.00 1.0637 .4405 0.15 500.25 1.3380 0.0246 0.15 750.2739 0.0549 0.3652 0. 106 106.169 5.75 2.684 57.99 5.5955 38.601 68.7542 49.37) (250.81 2.95 2.025 10.047 41.75 1.158 70.1078 38.63) 500 (151. 150o C 200o C 250o C 300o C 350o C cp ρ k×103 cp ρ k×103 cp ρ k×103 cp ρ k×103 cp ρ k×103 cp ρ k×103 100 (99.14 2.70 159.175 44.987 0.800 7.116 78.828 59.8 Tabla 5: Propiedades del vapor de agua a distintas presiones.609 8.3610 50.050 53. k(W/mo C) 12000 (324.3483 48.329 2.613 30.9727 42.06 102.432 78.86 2.666 56.96) 6. ρ(kg/m3 ).088 2.037 0.232 41.010 0.235 5.82 2.96 8.55 294.33) 18000 (356.49 2.979 0.233 4.76 3.40 2. Temperatura ´ (kPa) Presion ´ o C) (Temperatura de saturacion.8927 45.595 5.89 11.22 132.715 27.06 2.770 55.2965 39.446 4.64) 16000 (347.69 2.883 23.57 5.225 5.420 75.96) .15 87.4603 33.3532 34.79 2.05 7.406 6.80 1.214 67.8763 44.49 2.84) 1000 (179.28 4.682 92.788 20.29) 2.066 1.97 2.89 2.5904 24.990 0.17 2.997 50.600 42.101 51.14 5.876 16.035 90.3790 43.1469 35.413 58.27 3.24 2.Vapor saturado.96 2.28 2.8563 36.2172 50.820 7.404 33.5 4.55 3.9681 49.22 2.37) (275.69) 14000 (336. 2000 4000 6000 8000 10000 (212.5407 49.31 2.67 2.5793 40.161 2.3 13.65 3.37 1.34 120.4156 38.89 10.9136 43.504 15.03 2.6690 31.027 0.96 cp (kJ/Ko o´ C).118 3.071 1.337 7.5538 38.46 107.507 68.145 3.61 127.32 2.5165 28.6 18.391 61.97 (310.88) 1500 (198. 8 6.7 7.5 8.0873 3701.63o C) 2675.3 8.2 9.5 640.6 3.06 bares (0.5 8.0964 3195.10 MPa) 1694 2506.3594 2676.70 MPa) 272.2 8.9 8.1 8.69o C) 2631.0641 3017.6 7.9 385.8 439.2 2701.4 7.9152 3483.4 7.8 573.4 39462 2721.(o C) Sat.9 8.8 8.6 1187 3130.2233 3100.6 710.7 5.3865 3105.5859 3197.2 2685 3301.8 8.2 1695 2778.1611 3035.8 9.6 7.70 bares (0.3 8.134 (Tsat = 89.95o C) 2660.0 4625 2483.6466 3704.0 bares (0.8 7.6433 2952.1 8.9949 3034.7722 3192.8 7.2 8.2 7.7 36383 2661.4668 2796.6 507.07 MPa) 2365 2494.0 bares (0.5 2917 2904.7 2571 2539.2 3103 2967.7080 2799. 80 120 160 200 240 280 320 360 400 440 500 Sat.0 7. 100 120 160 200 240 280 320 360 400 440 500 Sat.9 3128.7840 2802.9 2634.3 7.7 424.4504 3196.7 3026.3 0. Temp.2 2831.2693 2792.8213 2812.16o C) 2567.5 51774 2969.7086 3361.6 8.1956 3924.7 7.8 329.3 6.86o C) 2748.6 1819 2840.9693 2879.2 6228 2660.97o C) 2763.7 7.2 1444 2656.0291 3362.9555 3113.5 8344 2905.1 6.0592 2939.4 907 2838.5 2067 2967.5 8.4 7.5 2434 2509.6 503.5 8.4774 3028.4 2771.8 1.4 8.6 9.7 8.5828 3278.6 2895.0 54851 3033.7 33302 2602.8 9.2 8.2 7.35 bares (0.5063 3268.0 1341 3300.0012 2955.1 2359 2718.6 7.8052 3032.3 3476.2307 3022.0 8.5 7.7 9.37o C) 2693.9 8.5435 3361.2 7.3 7.8286 3488.5 284.6 8.9 3477.3 30219 2544.7 579.0 8.1 716 2650.8 3028.2 404.7 2960.5341 2719.4 8.5 bares (0.9919 651 2587.3 2191 3032.1519 2878.0 48696 2905.9 7.4464 3116. 120 160 200 240 280 320 360 400 440 500 600 Sat.6 2782.6 2898.50 MPa) 374.4 7.1 7.0 7.7158 2645.6 3565 3131.2 3905 2842.6350 3353.3 7287 2780.8 3298.3162 3115.7 8.9 464.2 654.1 10.0 7.9034 3279.Tabla 6: Propiedades del vapor de agua sobrecalentado.8435 3362.8279 2876.7 781 2713.6375 2798.6 h(kJ/kg) s(kJ/kgK) (Tsat = 72.30 MPa) 606 2543.2 4698 3032.7 7.7 8.7938 3356.8 2172 2658.2293 3277.2 7.7 2599.1 2376 3131.9644 2800.1538 3486.7564 2723.1 969 2901.3251 3703.5 2609.9656 2855.6 4434 2968.3 2963.6 9.9299 3700.8343 2954.7571 3481.0 bares (0.3 7.1 8.55o C) 2725.2233 2711.9 2642.9 2561.1490 3488.1 7.9 7.6 1943 2903.6 8.5952 v(cm3 /g) u(kJ/kg) 0.1 8872 2968.1 844 2775.2 10192 3132.8 7.3 7.9101 (Tsat = 151.0 8.0 8.7 6.1398 2957.5 8.9 7.3555 3360.1 3299.0 42540 2781.1 1.6 1094 3030.7 1793 2537.2 541.7 5163 2542.9 7815 2842.6 8.6 2732 2841.7 8.0 27132 2487.5892 (Tsat = 164.3 3640 2780. 180 200 240 280 320 360 400 440 500 600 700 v(cm3 /g) u(kJ/kg) 0.9 5095 3131.4 3108 2659.6299 3110.1 8.3304 2650.0 8.5 6.3 1317 2595.5308 3188.4 6758 2720.1445 3114.8 357.3115 2947.4757 3487.8 9.4797 2680.9061 3275.7 9.2 9.1 7.6314 3116.3 412.0 4170 2904.5 h(kJ/kg) s(kJ/kgK) (Tsat=36.0 299.2 8.3804 2726.3237 2956.3194 ( Tsat = 99.4 804.9 3288 3032.7 617.4 8.0 6.1 3374 2719.8 8.1 1696 2506.5 45618 2843.8342 ( Tsat = 133.006 MPa) 23739 2425.6636 3488.7 2841 2599.9633 3489.9991 ( Tsat = 111.0 8.3614 2716.4 1032 2965.4665 2872.0 bares (0.15 MPa) 1159 2519.8865 2932.7 9.6 2834.7180 3279.9 7.5 7.7 1188 2533.9 7.035 MPa) 4526 2473.5 2546 2779.6660 3271.9 2572.2 7.6 7.1276 2865.5 59467 3132.6 7.5 7.7712 3197.0330 3358.0 3126.3522 3925.4 2766.2849 3195.2982 3036.4391 .4 5696 2601.4175 3278.2 1570 2717.7880 2844.4 8.6 2707.6 9400 3033.3697 3184.6 7.6 896.3 1984 2597.9 466.6597 2875.4828 3036. 1 103.6198 3999.6 3290.48 3318.99 2767.9 43.94 3085.7 73.0 148.0 2760.7 3116.3805 3321.7 45.2120 3213.8 7.37 3241.8720 3697.0901 3536.0 6.2 7.0701 2901.1 7.9 6.2 47.1 3362.8 106.02 3330.5698 3560.Tabla 6: Propiedades del vapor de agua sobrecalentado (continuacion) ´ Temp(o C) Sat.5 6.6 306.9489 3019.1 38.2265 2941.1 3013.0 bares (3.1 7.6 199.1 148.06o C) 2724.0 bares (1.1846 3071.42 2946.2 2619.85 3279.5 132.0 3018. 240 280 320 360 400 440 500 540 600 640 700 Sat.7 43.7 45.2540 3467.9 279.8 23.5 7.2 3470.9 7.6 176.6141 2781.9029 3723.2338 3546.3 3185.3 6.7690 3307.22 2970.39 2892.91o C) 2778.7 7.7 6.9212 3321.3688 3766.2 6.9 40 bares (4.7801 3230.3 7.4 203.3 6.2 6.2 60.1 3124.4 20.1687 3968.4448 2796.2 7.2 6.5 2659.8 37.3 325.3 2861.6628 2992.6828 3069.60 3005.4 33.89 2772.9 6.4 6.31 2729.1 2877.0 3462.9 7.4 2583.7622 3565.7 33.9041 3445.8 2826.5190 (Tsat = 311.1869 2824.8 30.6853 3422.7 7.4553 3117.6 120.1 287.4651 3349.4 29.6805 3694.8892 2804.3349 3263.3 55.3474 3682.9 7.52 3453.76 2720.7 77.1 65.7103 2962.2690 3342.5883 3478.0 2621.8381 3081.3 108.25 2588.734.7 3178.3 3364.0 5.5085 3773.8 2594.4 130.4 51.6 7.3 7.6 80 bar (8.3634 3246.1 31.9917 3247.9938 3169.1290 (Tsat = 212.9 7.43 3099.8 6.9 141.29 3520.4 67.1 6.0 2951.17 2605.6 401.2 3120.4234 3989.3 7.5 60 bares (6.1 6.31 2811.9999 3658.7 3023.0206 3738.1 115.5865 2827.7 2748.1 266.7 48.0 6.9 68.0 bares (1.4 19. 280 320 360 400 440 500 540 600 640 700 740 Sat.2 5.5 2692.6 36.4 7. 320 360 400 440 480 520 560 600 640 700 740 v(cm3 /g) u(kJ/kg) 10.7 7.45 3171.2 6.8035 3917.52 2569.2 267.2 2945.2812 3978.4546 2899.4 132.3 6.0060 3096.82 3178.0 MPa) 194.3 7.7 40.4 6.9 6.03 2544.44 2589.1363 3255.3 6.8 419.7 30.9 227.1962 3178.3 5.4 372.8817 3008.2 3108.6245 3138.5 2598.1 54.58 3434.7 6.81 3443.6 2957.3 2676.9 162.2670 .3782 3177.25 3266.9252 2952.88 2845.2 6.0 7.6 6.42o C) 2799.2 5.2 86.5 7.4317 3556.8 111.3 6.4462 3043.5 2817.1 6.0 MPa) 23.45 3254.11 2922.7871 3545.7432 2877.0290 3787. 200 240 280 320 360 400 440 500 540 600 640 Sat.3 6.7 3351.7024 3780.2 3002.90o C) 2804.9 3192.8 6.1 6.4 6.0 73.0 MPa) 49.60 3512.9 85.5 6.1819 3138.3 6.7 3536.15 3156.0131 3870.9 209.1283 3882.4 7.8385 3783.2 185.3782 v(cm3 /g) u(kJ/kg) 15.3 2891.6 206.4952 2976.8 3293.0 138.9 8.2056 3674.3 5.7 2604.4 7.0 122.3 6.4 92.0520 3456.6 6.6215 3213.5 91.4 175.1 6.32 2863.7864 3625.4 7.41 2919.0 61.72 2992.19 3164.6 7.0465 3093.9 116.65 3082.0 2788.4 6.1 76.5 7.1271 3335.8 3357.5434 3690.40o C) 2801.4 2932.8803 3517.7 99.4 3466.06o C) 2758.4 6.5 7.59 3341.7571 ( Tsat = 275.0 MPa) 66.8 26.0 bares (2.5 6.9 7.5MPa) 131.6106 3911.32o C) 2792.41 2832.1 7.34 3025.6622 3526.5 7.1 3296.1 26.0 56.78 2602.7 6.6 7.5408 3277.8452 3159.1 68.7141 (T= 295.5190 3348.0 7.2731 3894.6 7.1677 3752.4720 3905.9 57.2 7.5282 3425.2568 3015.2 223.6 7.8 2807.1 7.46 2680.9391 (Tsat = 233.8 3189.1 98.7 40.0 151.8 3367.0 MPa) 99.2 161.4 7.3 100 bar (10.9487 (Tsat = 250.5 7.64o C) 2784.4 h(kJ/kg) s(kJ/kgK) (Tsat = 179.2 8.6586 3447.1 7.1 h(kJ/kg) s(kJ/kgK) (Tsat = 198.3940 3473.3 216.6 2600.0 MPa) 32.6 7.1 6.5 235.4 6.9 248.5 7.6 354.0 MPa) 18.3409 2876.2 6.3 247.0 2736.8 5.1 2709.8 7.77 3528.9 7.2 38.4 3285.6 7.9 2884.9072 3642.5 6.13 3102.4 51.9 78.0 43.6940 2920.7 5.4 6.1 189.82 2662. 52 2839.1044 2564.4 2923.5 5.4 27.0 MPa) 9.94 2619.3 6.9224 3935.7 19.0952 (Tsat = 357.2393 5.9 2683.75 3415.75o C) 2637.4 7.8 3892.4614 2947.3143 3377.26 2719.4187 6.7 3783.96 2915.1 25.8 25.7 4.3 6.0 MPa) 3.9164 3858.8357 6.74 3272.0544 2330.09 2418.5 12.1307 6.4 18. 360 400 440 480 520 560 600 640 700 740 Sat.3 14.22 2774.73 3774.0 3949.5132 3573.8 6.66 3051.2 37.0 MPa) 11.41 3115.9 14.3 6.0749 3957.6602 3001.7 200 bar (20.5203 6.1 14.8038 6.62 3396.33 3762.36 1980.6 5.0 31.Tabla 6: Propiedades del vapor de agua sobrecalentado (continuacion) ´ Temp(o C) Sat.23 3201.1746 (Tsat= 347.7 33.0251 (Tsat = 365.9 19.8175 3103.2 15.4 6.7153 6.83 3215.61 3085.35 3451.3 23.7 160 bar (16.50 3184.1 15.3705 3537.25 3495.0246 6.5 13.1 8.0 16.8 6.1 4051.4 21.2 26.2823 6.0747 3178.31 2431.06o C) 2509.0 6.3 24.22 2718.80 3563.0 6.1 6.6 5.3 h(kJ/kg) s(kJ/kgK) Tsat= 324.5 6.7 20.5 3732.2 6.8580 3925.9269 2818.2 17.9 11.7446 5.7 280 bar (28.7172 3694.11 2678.0842 6.5 6.77 3149.42 3188.2 180 bar ( 18. 400 440 480 520 560 600 700 740 800 400 440 480 520 560 600 640 700 740 800 900 v(cm3 /g) u(kJ/kg) 120 bar (12.6399 3678.83 2293.9 16.04 3101.45 3307.9 5.22 2760.2 15.5540 3019.8 6.49 2476.7 20.3 12.0 29.4 7.9567 2055.0 4033.00 2838.2 6.83 2223.7 6.55 2896.24 3469.6 13.0 21.7 7.53 2860.5696 3663.9 7.0 9.4 6.9 6.57 3011.0 MPa) 7.4 22.7 h(kJ/kg) s(kJ/kgK) (Tsat = 336.0 6.7 7.08 3486.9566 6.17 3133.51 2992.7993 3914.0 6.5 5.4 5.0 3500.3717 2816.6506 5.2215 3353.8 11.3239 5.3752 3465.8 10.2327 5.0 30.1 18.7 5.0 28.54 2868.6887 3062.2 18.6 5.8 9.9 5.1922 2887.4 3102.6 21.0429 3234.9 6.7 9.73 2477.85 2780.41 2950.4 4298.1 4.43 3049.6361 6.05 2539.39 3366.8 14.73 3325.2 6.73 3346.0 14.58 3433.0 6.08 2798.8 5.5968 5.89 3085.3 6.43 3296.9 17.5 7.0 MPa) 2.0 240 bar (24.74 3406.8 3758.8 14.42 2939.2 6.6 11.9428 3203.4 13.9623 2639.3290 6.3875 6.6 3552.20 3906.2 3133.8 19.5555 3506.7 2812.10 3425.13 3031.2448 6.7494 5.83 3478.13 3386.0 320 bar ( 32.44 2509.7 18.38 3210.4 6.6947 6.5941 3591.99 2891.6029 6.4 5.4 16.8 3847.6 26.8 4.7 32.2 3424.7 3287.6 6.3 23.60 3548.5 36.36 3015.81 3145.0372 .8720 7.18 3174.2 8.67 3284.5048 3809.0518 3302.90 2672.5 6.29 2700.0 21.0 5.1 4285.9448 3142.0 16.12 2613.2455 2715.3 12.6 6.4154 3401.8950 6.6 6.4610 3486.63 2979.6 5.6840 3608.81o C) 2409.22 2617.1858 6.76 2984.8361 3051.8037 3709.1 6.7966 7.7 11.4 3870.85 3592. 360 400 440 480 520 560 600 640 700 740 Sat.1 21.4494 5.0 10.9052 4069.3 23.1474 3264.1 5.9939 3946.44o C) 2580.75o C) 2684.6 3028.81 3503.7 3463.49 2374.6905 3821.64 3228.3 3333.81 3068.1345 3378.14 2808.1 5.2586 3293.2218 3423.8 23.0 MPa) 14.4 18.5 3379.4 17.8 5.4 28.0 3584.0 7.3 11.7 6.5 3192.4392 3555.0 MPa) 5.1 6.7 12.3 3248.26 2513.74 3578.50 3415.9 13.8326 3846.5 23.7580 3833.72 3117.8450 3170.2960 3444.4924 2895.1084 v(cm3 /g) u(kJ/kg) 140 bar (14.0 6.8 24.8 4015.3 8.57 2962.2 6.0 MPa) 6. 770 4.182 4.3 990.2 998.180 4.2 526.1 992.182 4.339 4.6753 0.6775 0.184 4.5 977.5450 0.5820 0.1 980.294 5.498 4.1 995.6594 0.186 4.6059 0.6347 0.0 999.6668 0.8 1000.2 0.5723 0.6815 0.6553 0.4611 0.4 813.4115 o .6507 0.203 4.6833 0.215 4.6699 0.6745 0.187 4.210 4.6292 0.6633 0.282 4.6150 0.6405 0.566 8.7 840.9 907.6 783.138 999.608 4.6727 0.191 4.7 994.1 961.193 4.0 985.2 666.187 4.6458 0.6483 0.179 4.180 4.182 4. t C cp kJ/kgo C ρ kg/m3 k W/mo C 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 120 140 160 180 200 220 240 260 280 300 320 340 360 4.201 4.5996 0.8 999.991 5.5780 0.179 4.411 4.Tabla 7: Propiedades t´ermicas del agua l´ıquida.2 998.5911 0.6 968.7 971.5063 0.7 958.218 4.4 965.5 712.6286 0.6634 0.7 983.5619 0.9 864.7 974.234 16.8 925.3 886.6076 0.1 942.246 4.9 750.3 997.758 6.191 4.6221 0.195 4.203 4.9 610.6845 0. 4 2.2 × 10−3 830 × 10−3 84 × 10−3 118 × 10−3 40 × 10−3 18 × 10−3 2. 60 % ´ Cloruro sodico sol.2 2.18 0. 22% Acido ac´etico Alcohol et´ılico Glicerina Aceite de oliva Aceite de semillas de colza Aceite de semillas de soja Sebo Leche (entera) Leche (desnatada) Nata: 20% de grasa Nata: 30% de grasa Aceite de ricino Queroseno Aceite lubricante Aceite de linaza 1. 20% Conductividad t´ermica (W m−1 o C) 0.4 × 10−3 6.54 Calor espec´ıfico (kJ kg−1o C−1 ) 3.17 0.4 × 10−3 3.12 × 10−3 1.3 2.7 × 10−3 1.4 2.Tabla 8: Propiedades de los l´ıquidos.7 × 10−3 2.56 3.80 1.2 × 10−3 1.54 0.92 × 10−3 0.8 0.8 × 10−3 Temperatura (o C) 20 80 20 20 95 2 20 20 20 20 20 30 65 20 25 3 3 25 25 25 25 . Sacarosa sol.2 × 10−3 5.0 0.2 × 10−3 13.9 Densidad (kg m−3 ) 1070 Sacarosa sol.97 2.59 × 10−3 60.17 3.09 1.28 0.84 1240 1050 790 1250 910 900 910 900 1030 1040 1010 1000 956 820 910 929 Viscosidad (Nsm−2 ) 1. 12 10−5 15.36 10−5 2.27 10−5 0.3 10−5 7.7 10−5 0.0 10−5 8.3 10−5 3.7 10−5 60 10−5 367 10−5 75 10−5 12.3 10−5 5.9 10−5 FLUIDOS Agua a 20 0o C Agua a 50 0o C Aire a 0o C Alcohol et´ılico Benceno Gasolina Glicerina Mercurio β(K−1 o´ o C−1 20.7 10−5 6. ´ ´ SOLIDOS Acero Aluminio Carbono diamante Carbono grafito Caucho endurecido Cobre Cristal (vidrio) Cuarzo fundido Hielo Hierro ´ Hormigon ´ Ni-Fe) Invar (aleacion Madera (valor promedio) M´armol (valor promedio) ´ Laton Plomo Vidrio Pyrex β(K−1 o´ o C−1 ) 3.4 10−5 96 10−5 49 10−5 18 10−5 .2 10−5 0.5 10−5 3.4 10−5 25.4 10−5 0.Tabla 9: Coeficientes de dilatacion ´ cubica.1 10−5 2.6 10−5 0.7 10−5 0. 4 121 22.7 128 38.3 84.3 75.6 59.6 44.3 83.2 312 22.2 147 81.4 100 399 61. Punto de ´ Fusion K 933 904 1550 545 2573 594 302 2118 1765 1356 1211 1336 2495 430 2716 1810 601 454 923 1517 234 2883 1726 2741 1825 2042 337 3453 2233 312 1685 1234 371 3269 505 1953 3653 1407 2192 693 2125 .9 420 61.1 67.7 11.2 20.5 36.5 71.2 21.8 104 401 66.7 31.4 103 48.2 22.5 73.9 264 403 138 57.Tabla 10: Propiedades t´ermicas de los metales.7 153 94 36.9 143 106 52.6 23.5 112 71.6 121 45.5 104 48.4 262 20.3 24.5 72.1 82.7 115 98.2 75.4 75.5 123 25.2 236 25.6 52 46.7 52.7 318 23.5 71.3 168 428 135 57.0 22.3 371 19.3 8.4 162 29.6 88.8 111 122 413 96. los valores se dan para materiales policristatinos.6 75.6 120 28.2 374 25.5 75. Propiedades a 20o C Conductividad t´ermica k (W/mK) Elemento Aluminio Antimonio Berilio Bismuto (c) Boro (c) Cadmio o Cesio Cromo Cobalto (c) Cobre Germanio Oro Hafnio Indio Iridio Hierro Plomo Lino Magnesio Manganeso Mercurio (c) Molibdeno N´ıquel Niobio Paladio Platino Potasio Renio Rodio Rubidio Silicio Plata Sodio T´antalo ˜ (c) Estano Titanio (c) Tungsteno (c) Uranio Vanadio Cinc Circonio 200 K 273 K 400 K 600 K 800 K 1000 K 1200 K 237 30.2 126 220 16.0 118 67.3 20.5 144 69.3 62.1 146 126 65.7 ρ kg/m3 2702 6684 1850 9780 2500 8650 1873 7160 8862 8933 5360 19300 13280 7300 22500 7870 11340 534 1740 7290 13546 10240 8900 8570 12020 21450 860 21100 12450 1530 2330 10500 971 16600 5750 4500 19070 6100 7140 6570 cp J/kgK 896 208 1750 124 1047 231 230 440 389 383 134 452 129 3391 1017 486 k W/m K 236 24.1 94.1 153 80.5 35.5 197 25.6 205 7.68 240 21.4 278 20.4 89.7 25.7 148 83.2 157 7.8 129 a: La pureza de todos los elementos es mayor de( 99%) b: los errores porcentuales esperados en la conductividad t e´ rmica.3 77.7 97.5 78. est´an dentro del ± 5% de los verdaderos.3 122 23.3 5.3 65.2 87.4 104 51 154 58.0 179 27.5 82.3 126 32.6 97 36 91.5 67.2 149 146 139 94 53.4 156 7. c: En caso de materiales cristalinos.3 36.2 136 44.2 75.6 22 115 49 41.5 99.17 28.4 68.7 94.78 251 446 270 247 133 741 137 248 348 703 234 1206 138 227 611 134 113 502 385 272 138 91 53.8 72.2 132 43.5 79.1 159 7.6 105 76.2 161 232 18.2 301 9.7 121 43.1 35.4 139 34 34.8 64.8 107 89 73 18.6 32.7 342 17.8 392 43.5 58.9 405 42.2 31.1 6.1 31.2 134 80.1 127 44.8 327 24.8 292 20.9 38.4 182 27 31.1 150 58.5 71.7 358 57.3 75.4 33.6 75.4 61.2 153 427 133 57.8 36.2 389 31.4 383 27.5 73.3 74.9 28.4 60.7 19.6 58.2 61 19.6 151 58.4 31.5 71.1 55.8 62.1 116 21.3 304 21.5 218 8.2 105 20.9 138 54.6 316 23.8 357 17. 15 Cr 40 Ni.Tabla 11: Propiedades t´ermicas de las aleaciones.5 CH Acero al carbono 1C 1. Metal Aluminio: Cobre: Hierro: Acero: ´ (%) Composicion Duraluminio Silumin 94-96 Al.6 50 22 42 19 14. 10 Ni 20 Cr. 15 Ni.3 66 54 . 3-5 Cu. 30 Zn 62 Cu. 25 Sn 85 Cu. 5 AL 75 Cu.7 420 460 473 486 460 460 460 460 460 460 460 460 460 460 460 460 460 460 460 461 461 448 435 52 59 58 43 36 61 40 31 19 15. Mg trazas 87 AL. 40 Ni Hierro fundido Hierro -4C 0.9 410 22. 15 Ni 10 Ni 20 Ni 40 Ni 60 Ni 80 Ni. 9 Sn 6 Zn 70 Cu.4 14. 13 Si Bronce de aluminio Bronce ´ rojo Laton ´ Laton Plata alemana Constant´an 95 Cu. 22 Zn 60 Cu. 15 Cr 1 Mn 5 Mn 1 si 5 Si Tipo 304 Tipo 347 1W 5W Acero al cromo Acero al cromo-n´ıquel Acero al n´ıquel Acero al n´ıquel-cromo Acero al manganeso Acero al silicio Acero inoxidable Acero al tungsteno ρ(kg/m 2700 2787 2659 8900 8666 8666 8714 8522 8618 8922 7272 7849 7850 7801 7753 7865 7833 7785 7865 7833 7945 7993 8169 8378 8522 8073 7865 7849 7769 7417 7817 7817 7913 8073 3 Propiedades a 20o C ) cp (J/kg K) k (W/m K) 204 833 164 871 164 384 410 83 343 26 385 61 385 111 394 24.1 26 19 10 19 17 11.5 C 1 Cr 5 Cr 10 Cr 15 Cr. 151 0.156 0.234 0.232 0. Material Aerogel.14 816 816 840 1590 800 820 2050 808 .76 1.22 2.Tabla 12: Propiedades t´ermicas de algunos no metales.5-421.35 0.7 576.043 0. borosilicato Granito Hielo M´armol Caucho.036 0.0 237. radial de roble Radial de pino (20% de humedad) t(o C) 120 -200 0 0 100 200 400 -200 0 20 20 ρ(kg/m3 ) 136.05 0. duro Piedra arenisca Seda Madera.151 1.14-0.6 320.8 1762-1810 1273. ´ pulverizado Carbon.5 cp (J/kg K) 20 20 30 20 20 30 38 871 30 21 20 20 30 880 1260 1300 1300 878 0 20 0 20 20 20 2100 1201-1506 737 80 1906-2307 150.116 0.4 320. ´ Algodon ´ armado Concreto.208 0.2 469.7-4.17-0.064 0.3 469.81-1.21 20 416. hormigon Corcho triturado Tierra fina Fieltro lana Fibra.059 0.09 1. s´ılica Asbestos Ladrillo seco Baquelita ´ corrugado Carton.156 0.26 0.7 696.8 696.4 330. ´ Carton Arcilla ´ antracita Carbon.47 0.1 0.38-0.3 2720 0.192 0.7 609-801 710 1380 2390 k (W/m K) 0.223 0.2 2162-2307 57.142 0.7 576.0 2.048 0.5 2707 2227 2640 913 2499-2707 1198.52 0.63-2.074 0.8 0.1 1289.062 0.40 0.022 0. tabla aislante Fibra roja Placa de vidrio Vidrio.7 576.93 0.3 576. 126 1. Kapok (miraguano) Ladrillo: ´ comun al carborundum (50% SiC) de magnesita (50% MgO) de mamposter´ıa de s´ılice (95% SiO2 ) de circona (62% ZrO2 ) L´aminas de fibra de madera (celotex) Lana Lana de vidrio ´ Linoleo Madera: chapa roble pino.58 1.670 2.080 0.081 0.837 0.109 0.38-0. abeto rojo Mica Plexigl´as Serr´ın Tierra de diatomeas Tierra arcillosa (28% humedad) Tierra arenosa (8% humedad) Vidrio de ventana Yeso ρ(kg/m3 ) 383 1545 1500 1640 1370 cp (kJ/kg K) 0. abeto.523 0. ´ Propiedades a 20o C Material Amianto Arcilla (48.820 0.163 0.840 0.037 0.15 0.816 0.035 0.880 1.07 2.95 0.0 0.009 0.036 0.837 0. 038 0.814 .7% humedad) Arena seca ´ humeda ´ antracita Carbon.880 150 120 342 1250 1150 224 2640-2750 500 25 1.720 0.51 1.68 0.21 0.071 0.260 2.238 1.26 0.13 0.800 k (W/m K) 0.195 0. Cemento duro Corcho.04 0.047 0.879 0.52 5.05 0.055 3.44 0.Tabla 13: Propiedades t´ermicas de algunos materiales de construccion.055 0.82 2.880 1800 2200 2000 1700 1900 3600 200 400 200 50 100 200 535 590 609-801 416-421 2900 1180 215 466 1500 1500 2500 1800 1.047 0.465 0.17-0.128 0.113 1.658 1. tableros Corcho expandido Corteza de pino Goma.042 0.036 0.390 2. buna Goma dura (ebonita) Goma esponjosa Granito ´ seco Hormigon. 7 -2.01 1.35 2.35 3.18 2.85 2.01 2.97 2.76 3.5 255 293 289 285 306 272.01 1.35 3.68 3.64 1. Calor espec´ıfico Frutas Legumbres y vegetales Carne Punto de con´ gelacion (o C) Porcentaje de agua (%) por encima de la con´ gelacion debajo de la ´ congelacion Albaricoques Cerezas Fresas Frutos secos Limones Mandarinas Manzanas Melones Naranjas Peras Pl´atanos Pomelos ´ Melocoton ˜ tropical Pina Sand´ıas Uvas -2 -4.30 1.60 1.01 1.4 100.6 280 305.93 3.85 1.68 4.77 3.6 310 293 Bacon Conejo Cordero Tocino fresco Pavo Pescado Pollo Cerdo Ternera Vaca -1.6 276.67 1.09 3.68 3.6 -1.5 284.5 305.67 1.93 2.97 3.93 1.6 3.22 1.7 -2.98 3.01 1.2 -2 -1.64 3.67 71 218 276 130 247 276 247 197 209 255 (kJ kg−1o C−1 ) Calor latente ´ de fusion (kJ kg−1 ) .93 1.77 3.88 2.76 1.67 1.8 -1 -1 -1 75 84 10 86 92 93 93 74 89 76 78 92 95 88 3.09 3.81 3.76 1.60 3.1 -2.8 280.5 -1.88 1.3 301.31 3.85 3.2 284.8 1.7 -2 -2 -2 20 60 70 39 78 70 74 60 63 75 2.97 1.84 284.59 1.93 3.7 -2 -1.7 -2 -1 -1 -1 -1 -1 -1 -1.93 1.93 3.43 3.88 1.6 1.06 3.6 247 297 251 259.35 3.88 2.97 1.4 280.3 -2.80 1.93 1.93 3.78 3.Tabla 14: Propiedades t´ermicas de algunos productos alimenticios.80 1.7 -2 -1.81 3.26 1.16 301.5 297.8 1.18 3.01 1.5 -1.6 288.30 3.97 2.93 3.1 Aceitunas Acelgas Alcachofas Arroz Cebollas Col Esp´arragos Espinacas Guisantes Jud´ıas verdes Ma´ız Patatas Pimientos Tomates Zanahoria -2 -0.43 3.93 1.88 251.80 1.97 1.35 3.2 -2 -2 -2 -2 -2 -2 -4 85 82 90 30 89 86 84 93 90 83 75 89 87 85 92 82 3.76 1.6 306 310 305.93 1.64 3. 2 a -10 100 92 por encima de la con´ gelacion debajo de la ´ congelacion (kJ kg−1o C−1 ) 58-66 87.2 a -8 -2.4 .09 1. (continuacion) ´ Calor espec´ıfico Varios Agua Cerveza Huevos Helado Leche Miel Pan Quesos Punto de con´ gelacion (o C) Porcentaje de agua (%) 0 -2 -3 -3 a -18 -1 .88 2.05 1.5 18 32-37 46.19 3.42 1.68 2.01 1.8 109-121 167.53 4.05 2.47 2.2 3.5 301 276 222 289 62.93 2.3 3.9 1.47 Calor latente ´ de fusion (kJ kg−1 ) 333.67 1.Tabla 14: Propiedades t´ermicas de algunos productos alimenticios.19 4. . ´ Te =temperatura de ebullicion.6* 573* Helio 1.75 287 Bromo 266 67.35 199 Oro 1336 62.Tabla 15: Propiedades de cambio de fase de diversas sustancias a la presion ´ atmosf´erica.7 2023 858 Zinc 692 102 1184 1768 ∗ ´ Estos valores corresponden a la sublimacion ´ Lf =calor latente de fusion. Tf (K) Lf (kJ/kg) Te (K) Lv (kJ/kg) Agua 273.2 21 Mercurio 234 11.5 717.15 2257 Alcohol et´ılico 159 109 351 879 Azufre 388 38.76 2.4 332 369 Cobre 1356 205 2839 4726 ´ Dioxido de carbono 215 108.8 3081 1701 Oxigeno 54.7 194.3 630 296 ´ Nitrogeno 63 25.15 333.2 213 Plata 1234 105 2436 2323 Plomo 600 24. ´ Tf =temperatura de fusion.8 90.1 4.5 373. ´ Lv =calor latente de vaporizacion.7 77.4 13. 15 272.00311 hl (kJ/kg) 0.01548 0.7 2345.6 1978.2 2789.0364 0.8 2792.8 1670.5 2502.2 2317.2 1085.807 70.01834 0.01 313.92 376.001894 0.344 15.07 293.06 440.7 2643.373 57.4 2659.28 763.5 2498.8 2795.02 361.02556 0.84 104.14 32.90 25.1 3344.48 270.60 852.7 2256.001637 0.24 251.7 2308.001002 0.4 1184.6225 7.001000 0.32 77.2 1461.03016 0. NBS/NRC Steam tables.001498 0.3071 0.7 2476.98 419.8 1604.7029 2.04220 0.002207 0.9 1254.176 39.32 120.9 2393.7444 0.1 2803.001141 0.001156 0.66 943.19 475.7 4689.932 25.001209 0.01 198.67 146.1 2779.7 2727.7 2683.01299 0.8 9860.001366 0.4 2049.1 1401.0 607.8 2357.5 276.5 2429.1656 4.2 2493.93 355.3 2698.001190 0.745 19.83 170.2 2243.5520 7.6 2086.3 2564.001029 0.0501 0. y Kell.001001 0.4 2758.4 2174.2428 0.001102 0.93 397.220 12.4 2333.001004 0.2 1940.016 31.3929 0.42 209.001080 0.1 1476.72 617.0716 0.5 11279 12852 14594 16521 18655 19809 21030 21799 22055 vl (m3 /kg) 0.0 (Fuente: Jones y Dugan.8 1813.001008 0.1 1344.3 2591.7 1966.9 450.7 1906.8 2746.8 2785.001047 0.001000 0. bas´andose en ecuaciones y datos de Haar.001332 0. 1997.5 5499.1 2320.5 2797.33 230.8579 1.5 2282.6740 6.18 461.1273 0.32 675.520 101. Lester.002485 0.6736 1.001000 0.41 589.5 2777. T (◦ C) 0.93 83.14 p(kPa) 0.2 2546.7 2665.3814 9.1 2082. 1984) .51 990.2 2295.8 2706.001012 0.1 2537.01079 0.1940 0.002012 0.556 47.0 1593.5090 0.6508 0.6 2417.03564 0.037 9.4088 2.9 6413.1 2453.00 1037.6 2691.3617 1.7 2518.001023 0.13 19.0 2144.1278 3.528 15.8260 2.7 2269.00 41.4 1661.001020 0.96 334.1 2651.2106 1.9 2369.001127 0.0 2216.1565 0.0 2768.001404 0.17 12.2455 5.47 1001.9 2465.0 8583.99 62.78 143.0 2699.02167 0.001740 0.4 1140.001560 0.6 2667.001000 0.1 1289.3 1027.0 hlv (kJ/kg) 2500.2 2600.3 2506 2509.0 2086.59 167.4 2582.001447 0.76 125.001052 0.6 1236.4 2488.0 2800.001043 0.Tabla 16: Propiedades termodin´amicas del agua saturada.6 2340.2 2765.3 2563.7 3973.001010 0.61173 0.0 1857.5 2626.5 893.4 1761.001303 0.00881 0.8 1715.1 721. Gallagher.1890 5.3 2621.00412 0.117 84.3 2202.5 1543.59 21.78 43.001015 0.0450 4.24 632.8 1404.0 2608.1 1900.1 1765.001036 0.6 2243.3 1525.66 791.25 807.3 2555.4190 1.1044 0.1 2634.8 1238.001070 0.4 2573.3 1134.2 2720.3 2803.79 149.001003 0.2281 1.001276 0.00 4.00499 0.001000 0.99 193.2 1553.65 719.9811 1.6687 0.001114 0.5 2482.7 2675.001056 0.5844 12.2 2014.7 1889.6 2114.001017 0.6 1325.78 546.2 7438.001040 0.001090 0.34 482.4 2230.001229 0.8922 0.9 2528.54 503.8 2405.24 169.37 57.0 2424.7 2801.0862 0.0 1816.001252 0.001060 0.4 2733.001032 0.001006 0.80 106.8 2617.7 2796.00696 0.9 2381.003106 vv (m3 /kg) 205.01 1 3 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 365 370 373 374.001026 0.001173 0.9 2748.38 897.0597 0.4 0 hv (kJ/kg) 2500.00603 0.50 188.3388 3.4 2441. 51 419.7 1193.89 143.14 vl (m3 /kg) 0.81 535.4 2546.28 844.008379 0.001286 0.694 1.2 2544.2 141.7 1490.8 2637.4 2768.5 1570.6 2756.0 1066.55 384.003106 vv (m3 /kg) 129.001197 0.10 28.02737 0.99 60.7 2783.55 365.39 798.4 34.14077 0. 1984) .70 342.71 330.001138 0.30 317.001108 0.3 2787.9 2133.6735 1.2 776.8 2741.4 2738.001003 0.5 2532.2 2803.001014 0.009311 0.77 87.1 1946.83 53.1 2413.99 1316.8 2166.17744 0.88 373.005021 0.001394 0.3 2342.7 2763.001017 0.19 347.0 1753.1 2610.1 690.5 2573.8 2757.9 2724.71 697.001053 0.93 762.8 1985.3 2086.001657 0.2 2357.6 2147.001352 0.3 2163.3 1690.988 3.16326 0.3 1449.0 2066.001005 0.62 584.56 138.03244 0.6 2524.6 1972.12 13.92 54.23 14.24 127.002036 0.001133 0.001217 0.00 121.0 2789.1 2580.007511 0.6 2636.02048 0.6 2467.11 324.002200 0.07 467.63 100.5 561.226 3.05705 0. 1997.001101 0.62 285.7 2693.001000 0.1 2675.2 2201.001452 0.1 1959.09959 0.40 352.001319 0.31 357.5 455.003106 hl (kJ/kg) 29.5 2748.78 99.92 184.001154 0.012779 0.001843 0.001001 0.001093 0.62 9.3 2662. Gallagher.216 1.001001 0.99 191.11 75.8 2405.04977 0.99 69.005873 0.3 2318.74 73.015985 0.13171 0.4 2791.85 908.001037 0.9 2617.001488 0.P (kPa) 1.001252 0.001772 0.010339 0.38 311.2728 0.001022 0.5 2304.2 2391.6 2025.99 233.64 151.6 2800.7 2781.002775 0.6 2793.42 223.4 2706.3 2694.44 133.001084 0.001923 0.4 1826.7 2802.001709 0.08 198.5 10 15 20 25 30 40 50 75 100 101.0 2.4 931.07994 0.014261 0.04 303.001610 0.88 226.0 7.2149 0.98 170. y Kell.33 212.60 250.72 28.9 2583. bas´andose en ecuaciones y datos de Haar.001121 0.89 40.88 81.1 856.3 2732.5 1776.00 111.3156 0. NBS/NRC Steam tables.3 2086.1592 0.69 961.6 2108.011484 0.2 1732.63 1087.76 191.7 2459.001127 0.8 1887.6 1363.8 1317.67 814.0 (Fuente: Jones y Dugan.04 17.19438 0.6 2432.3 2802.7 2469.001008 0.8 1999.5 2.6056 0.8 2725.30 45.09 24.001020 0.006678 0.00 361.239 2.4 2560.001566 0.39 179.22 1154.018025 0.001079 0.001067 0.9 2443.649 6.37 137.39 263.001115 0.7 1000.0 1840.7 2030.001149 0.77 374.66 340.01 289.001026 0.0 1.15119 0.34 1267.0 2047.9 2372.8 2598.001418 0.6 2256.001030 0.5 3.999 7.2 1255.0 0.3 2086.001144 0.77 168.10 187.6 2716.9 2773.1 2645.4623 0.44 417.6 2553.001004 0.89 242.2404 0.5 2705.44 175.3 2608.8 2278.9 1570.7 2014.97 32.7 2777.3748 0.97 158.001177 0.4 2335.6 1504.4 2508.86 164. Lester.19 1213.89 781.9 2771.29 1049.80 369.4 1609.98 275.64 195.7 1530.001073 0.5 2624.5 2675.38 120.86 295.325 150 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 2000 2500 3000 3500 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 16000 17000 18000 19000 20000 21000 22000 22055 T (◦ C) 7.001526 0.48 604.14 45.09 19.001043 0.89 336.35 721.8858 0.0 hv (kJ/kg) 2513.44 88.2 2450.23 742.0 1713.34 91.5 2345.02 251.2 2784.06666 0.51 21.001043 0.92 830.1 1407.001235 0.6 1890.6 2226.7 1649.03944 0.98 1008.9 1441.07 64.001002 0.1 2257.39 101.3 1639.7 586.91 640.5 2798.2 1378.7185 0.57 54.46 272.0 hlv (kJ/kg) 2483.193 5.5242 0.001010 0.3 1795.39 66.001060 0.0 4.1 2422.003595 0.7 2181.03 318.02352 0.39 670.5 2661.8 1131.7 2539.18 504.0 5. Tabla 17: Datos del punto cr´ıtico y el punto triple. Sustancia Agua CO2 ´ Nitrogeno Oxigeno Tc (K) 647´4 304´2 126´2 154´6 Pc (105 Pa) 221´2 73´8 33´9 50´8 ρc (kg/m3 ) 320 468 311 410 Tt (K) 273´16 216´55 63´18 54´36 Pt (kPa) 0´610 517 12´5 0´152 .