TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI) TABLA A-4 Agua saturada. Tabla de temperaturas
Descrição do Produto
914
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-4 Agua saturada. Tabla de temperaturas Volumen específico, m3/kg Temp., T °C
Pres. sat., Psat kPa
0.01 5 10 15 20 25 30 35 40 45
Energía interna, kJ/kg
Líq. sat., vf
Vapor sat., vg
Líq. sat., uf
Evap., ufg
Vapor sat., ug
0.6117 0.8725 1.2281 1.7057 2.3392
0.001000 0.001000 0.001000 0.001001 0.001002
206.00 147.03 106.32 77.885 57.762
0.000 21.019 42.020 62.980 83.913
2374.9 2360.8 2346.6 2332.5 2318.4
2374.9 2381.8 2388.7 2395.5 2402.3
3.1698 4.2469 5.6291 7.3851 9.5953
0.001003 0.001004 0.001006 0.001008 0.001010
43.340 32.879 25.205 19.515 15.251
104.83 125.73 146.63 167.53 188.43
2304.3 2290.2 2276.0 2261.9 2247.7
2409.1 2415.9 2422.7 2429.4 2436.1
Entalpía, kJ/kg Líq. sat., hf
Entropía, kJ/kg · K
Evap., hfg
Vapor sat., hg
Líq. sat., sf
Vapor Evap., sat., sfg sg
2500.9 2489.1 2477.2 2465.4 2453.5
2500.9 2510.1 2519.2 2528.3 2537.4
0.0000 0.0763 0.1511 0.2245 0.2965
9.1556 8.9487 8.7488 8.5559 8.3696
9.1556 9.0249 8.8999 8.7803 8.6661
104.83 125.74 146.64 167.53 188.44
2441.7 2429.8 2417.9 2406.0 2394.0
2546.5 2555.6 2564.6 2573.5 2582.4
0.3672 0.4368 0.5051 0.5724 0.6386
8.1895 8.0152 7.8466 7.6832 7.5247
8.5567 8.4520 8.3517 8.2556 8.1633
0.001 21.020 42.022 62.982 83.915
50 55 60 65 70
12.352 15.763 19.947 25.043 31.202
0.001012 0.001015 0.001017 0.001020 0.001023
12.026 9.5639 7.6670 6.1935 5.0396
209.33 230.24 251.16 272.09 293.04
2233.4 2219.1 2204.7 2190.3 2175.8
2442.7 2449.3 2455.9 2462.4 2468.9
209.34 230.26 251.18 272.12 293.07
2382.0 2369.8 2357.7 2345.4 2333.0
2591.3 2600.1 2608.8 2617.5 2626.1
0.7038 0.7680 0.8313 0.8937 0.9551
7.3710 7.2218 7.0769 6.9360 6.7989
8.0748 7.9898 7.9082 7.8296 7.7540
75 80 85 90 95
38.597 47.416 57.868 70.183 84.609
0.001026 0.001029 0.001032 0.001036 0.001040
4.1291 3.4053 2.8261 2.3593 1.9808
313.99 334.97 355.96 376.97 398.00
2161.3 2146.6 2131.9 2117.0 2102.0
2475.3 2481.6 2487.8 2494.0 2500.1
314.03 335.02 356.02 377.04 398.09
2320.6 2308.0 2295.3 2282.5 2269.6
2634.6 2643.0 2651.4 2659.6 2667.6
1.0158 1.0756 1.1346 1.1929 1.2504
6.6655 6.5355 6.4089 6.2853 6.1647
7.6812 7.6111 7.5435 7.4782 7.4151
100 105 110 115 120
101.42 120.90 143.38 169.18 198.67
0.001043 0.001047 0.001052 0.001056 0.001060
1.6720 1.4186 1.2094 1.0360 0.89133
419.06 440.15 461.27 482.42 503.60
2087.0 2071.8 2056.4 2040.9 2025.3
2506.0 2511.9 2517.7 2523.3 2528.9
419.17 440.28 461.42 482.59 503.81
2256.4 2243.1 2229.7 2216.0 2202.1
2675.6 2683.4 2691.1 2698.6 2706.0
1.3072 1.3634 1.4188 1.4737 1.5279
6.0470 5.9319 5.8193 5.7092 5.6013
7.3542 7.2952 7.2382 7.1829 7.1292
125 130 135 140 145
232.23 270.28 313.22 361.53 415.68
0.001065 0.001070 0.001075 0.001080 0.001085
0.77012 0.66808 0.58179 0.50850 0.44600
524.83 546.10 567.41 588.77 610.19
2009.5 1993.4 1977.3 1960.9 1944.2
2534.3 2539.5 2544.7 2549.6 2554.4
525.07 546.38 567.75 589.16 610.64
2188.1 2173.7 2159.1 2144.3 2129.2
2713.1 2720.1 2726.9 2733.5 2739.8
1.5816 1.6346 1.6872 1.7392 1.7908
5.4956 5.3919 5.2901 5.1901 5.0919
7.0771 7.0265 6.9773 6.9294 6.8827
150 155 160 165 170
476.16 543.49 618.23 700.93 792.18
0.001091 0.001096 0.001102 0.001108 0.001114
0.39248 0.34648 0.30680 0.27244 0.24260
631.66 653.19 674.79 696.46 718.20
1927.4 1910.3 1893.0 1875.4 1857.5
2559.1 2563.5 2567.8 2571.9 2575.7
632.18 653.79 675.47 697.24 719.08
2113.8 2098.0 2082.0 2065.6 2048.8
2745.9 2751.8 2757.5 2762.8 2767.9
1.8418 1.8924 1.9426 1.9923 2.0417
4.9953 4.9002 4.8066 4.7143 4.6233
6.8371 6.7927 6.7492 6.7067 6.6650
175 180 185 190 195 200
892.60 1002.8 1123.5 1255.2 1398.8 1554.9
0.001121 0.001127 0.001134 0.001141 0.001149 0.001157
0.21659 0.19384 0.17390 0.15636 0.14089 0.12721
740.02 761.92 783.91 806.00 828.18 850.46
1839.4 1820.9 1802.1 1783.0 1763.6 1743.7
2579.4 2582.8 2586.0 2589.0 2591.7 2594.2
741.02 763.05 785.19 807.43 829.78 852.26
2031.7 2014.2 1996.2 1977.9 1959.0 1939.8
2772.7 2777.2 2781.4 2785.3 2788.8 2792.0
2.0906 2.1392 2.1875 2.2355 2.2831 2.3305
4.5335 4.4448 4.3572 4.2705 4.1847 4.0997
6.6242 6.5841 6.5447 6.5059 6.4678 6.4302
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915
APÉNDICE 1
TABLA A-4 Agua saturada. Tabla de temperaturas (conclusión) Volumen específico, m3/kg Temp., T °C
Pres. sat., Psat kPa
205 210 215 220 225
Energía interna, kJ/kg
Entalpía, kJ/kg
Líq. sat, vf
Vapor sat., vg
Líq. sat., uf
Evap., ufg
Vapor sat., ug
Líq. sat., hf
1724.3 1907.7 2105.9 2319.6 2549.7
0.001164 0.001173 0.001181 0.001190 0.001199
0.11508 0.10429 0.094680 0.086094 0.078405
872.86 895.38 918.02 940.79 963.70
1723.5 1702.9 1681.9 1660.5 1638.6
2596.4 2598.3 2599.9 2601.3 2602.3
874.87 897.61 920.50 943.55 966.76
230 235 240 245 250
2797.1 3062.6 3347.0 3651.2 3976.2
0.001209 0.001219 0.001229 0.001240 0.001252
0.071505 0.065300 0.059707 0.054656 0.050085
986.76 1010.0 1033.4 1056.9 1080.7
1616.1 1593.2 1569.8 1545.7 1521.1
2602.9 2603.2 2603.1 2602.7 2601.8
255 260 265 270 275
4322.9 4692.3 5085.3 5503.0 5946.4
0.001263 0.001276 0.001289 0.001303 0.001317
0.045941 0.042175 0.038748 0.035622 0.032767
1104.7 1128.8 1153.3 1177.9 1202.9
1495.8 1469.9 1443.2 1415.7 1387.4
280 285 290 295 300
6416.6 6914.6 7441.8 7999.0 8587.9
0.001333 0.001349 0.001366 0.001384 0.001404
0.030153 0.027756 0.025554 0.023528 0.021659
1228.2 1253.7 1279.7 1306.0 1332.7
305 310 315 320 325
9209.4 9865.0 10,556 11,284 12,051
0.001425 0.001447 0.001472 0.001499 0.001528
0.019932 0.018333 0.016849 0.015470 0.014183
330 335 340 345 350
12,858 13,707 14,601 15,541 16,529
0.001560 0.001597 0.001638 0.001685 0.001741
355 360 365 370 373.95
17,570 18,666 19,822 21,044 22,064
0.001808 0.001895 0.002015 0.002217 0.003106
Entropía, kJ/kg · K Vapor sat., hg
Líq. sat., sf
Vapor Evap., sat., sfg sg
1920.0 1899.7 1878.8 1857.4 1835.4
2794.8 2797.3 2799.3 2801.0 2802.2
2.3776 2.4245 2.4712 2.5176 2.5639
4.0154 3.9318 3.8489 3.7664 3.6844
6.3930 6.3563 6.3200 6.2840 6.2483
990.14 1013.7 1037.5 1061.5 1085.7
1812.8 1789.5 1765.5 1740.8 1715.3
2802.9 2803.2 2803.0 2802.2 2801.0
2.6100 2.6560 2.7018 2.7476 2.7933
3.6028 3.5216 3.4405 3.3596 3.2788
6.2128 6.1775 6.1424 6.1072 6.0721
2600.5 2598.7 2596.5 2593.7 2590.3
1110.1 1134.8 1159.8 1185.1 1210.7
1689.0 1661.8 1633.7 1604.6 1574.5
2799.1 2796.6 2793.5 2789.7 2785.2
2.8390 2.8847 2.9304 2.9762 3.0221
3.1979 3.1169 3.0358 2.9542 2.8723
6.0369 6.0017 5.9662 5.9305 5.8944
1358.2 1328.1 1296.9 1264.5 1230.9
2586.4 2581.8 2576.5 2570.5 2563.6
1236.7 1263.1 1289.8 1317.1 1344.8
1543.2 1510.7 1476.9 1441.6 1404.8
2779.9 2773.7 2766.7 2758.7 2749.6
3.0681 3.1144 3.1608 3.2076 3.2548
2.7898 2.7066 2.6225 2.5374 2.4511
5.8579 5.8210 5.7834 5.7450 5.7059
1360.0 1387.7 1416.1 1445.1 1475.0
1195.9 1159.3 1121.1 1080.9 1038.5
2555.8 2547.1 2537.2 2526.0 2513.4
1373.1 1402.0 1431.6 1462.0 1493.4
1366.3 1325.9 1283.4 1238.5 1191.0
2739.4 2727.9 2715.0 2700.6 2684.3
3.3024 3.3506 3.3994 3.4491 3.4998
2.3633 2.2737 2.1821 2.0881 1.9911
5.6657 5.6243 5.5816 5.5372 5.4908
0.012979 0.011848 0.010783 0.009772 0.008806
1505.7 1537.5 1570.7 1605.5 1642.4
993.5 945.5 893.8 837.7 775.9
2499.2 2483.0 2464.5 2443.2 2418.3
1525.8 1559.4 1594.6 1631.7 1671.2
1140.3 1086.0 1027.4 963.4 892.7
2666.0 2645.4 2622.0 2595.1 2563.9
3.5516 3.6050 3.6602 3.7179 3.7788
1.8906 1.7857 1.6756 1.5585 1.4326
5.4422 5.3907 5.3358 5.2765 5.2114
0.007872 0.006950 0.006009 0.004953 0.003106
1682.2 1726.2 1777.2 1844.5 2015.7
706.4 625.7 526.4 385.6 0
2388.6 2351.9 2303.6 2230.1 2015.7
1714.0 1761.5 1817.2 1891.2 2084.3
812.9 720.1 605.5 443.1 0
2526.9 2481.6 2422.7 2334.3 2084.3
3.8442 3.9165 4.0004 4.1119 4.4070
1.2942 1.1373 0.9489 0.6890 0
5.1384 5.0537 4.9493 4.8009 4.4070
Evap., hfg
Fuente: Las tablas A-4 a A-8 fueron generadas utilizando el programa para resolver ecuaciones de ingeniería (EES) desarrollado por S. A. Klein y F. L. Alvarado. La rutina utilizada en los cálculos es la altamente precisa Steam_IAPWS, que incorpora la Formulación 1995 para las Propiedades Termodinámicas de la Sustancia Agua Ordinaria para Uso Científico y General, editada por The International Association for the Properties of Water and Steam (IAPWS). Esta formulación reemplaza a la formulación de 1984 de Haar, Gallagher y Kell (NBS/NRC Steam Tables, Hemisphere Publishing Co., 1984), la cual está también disponible en EES como la rutina STEAM. La nueva formulación se basa en las correlaciones de Saul y Wagner (J. Phys. Chem. Ref. Data, 16, 893, 1987) con modificaciones para ajustarla a la Escala Internacional de Temperaturas de 1990. Las modificaciones están descritas por Wagner y Pruss (J. Phys. Chem. Ref. Data, 22, 783, 1993). Las propiedades del hielo están basadas en Hyland y Wexler, “Formulations for the Thermodynamic Properties of the Saturated Phases of H2O from 173.15 K a 473.15 K”, ASHRAE Trans., Part 2A, Paper 2793, 1983.
18Appendix_01 ITALICAS.qxd 915
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TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-5 Agua saturada. Tabla de presiones Volumen específico, m3/kg Pres., P kPa
Temp. sat., Tsat °C
Líq. sat., vf
Vapor sat., vg
Energía interna, kJ/kg
Entalpía, kJ/kg
Entropía, kJ/kg · K
Líq. sat., uf
Evap., ufg
Vapor sat., ug
Líq. sat, hf
Evap., hfg
Vapor sat., hg
Líq. sat., sf
Evap., sfg
Vapor sat., sg
1.0 1.5 2.0 2.5 3.0
6.97 13.02 17.50 21.08 24.08
0.001000 129.19 0.001001 87.964 0.001001 66.990 0.001002 54.242 0.001003 45.654
29.302 54.686 73.431 88.422 100.98
2355.2 2338.1 2325.5 2315.4 2306.9
2384.5 2392.8 2398.9 2403.8 2407.9
29.303 54.688 73.433 88.424 100.98
2484.4 2470.1 2459.5 2451.0 2443.9
2513.7 2524.7 2532.9 2539.4 2544.8
0.1059 0.1956 0.2606 0.3118 0.3543
8.8690 8.6314 8.4621 8.3302 8.2222
8.9749 8.8270 8.7227 8.6421 8.5765
4.0 5.0 7.5 10 15
28.96 32.87 40.29 45.81 53.97
0.001004 0.001005 0.001008 0.001010 0.001014
121.39 137.75 168.74 191.79 225.93
2293.1 2282.1 2261.1 2245.4 2222.1
2414.5 2419.8 2429.8 2437.2 2448.0
121.39 137.75 168.75 191.81 225.94
2432.3 2423.0 2405.3 2392.1 2372.3
2553.7 2560.7 2574.0 2583.9 2598.3
0.4224 0.4762 0.5763 0.6492 0.7549
8.0510 7.9176 7.6738 7.4996 7.2522
8.4734 8.3938 8.2501 8.1488 8.0071
20 25 30 40 50
60.06 64.96 69.09 75.86 81.32
0.001017 0.001020 0.001022 0.001026 0.001030
7.6481 6.2034 5.2287 3.9933 3.2403
251.40 271.93 289.24 317.58 340.49
2204.6 2190.4 2178.5 2158.8 2142.7
2456.0 2462.4 2467.7 2476.3 2483.2
251.42 271.96 289.27 317.62 340.54
2357.5 2345.5 2335.3 2318.4 2304.7
2608.9 2617.5 2624.6 2636.1 2645.2
0.8320 0.8932 0.9441 1.0261 1.0912
7.0752 6.9370 6.8234 6.6430 6.5019
7.9073 7.8302 7.7675 7.6691 7.5931
75 100 101.325 125 150
91.76 99.61 99.97 105.97 111.35
0.001037 0.001043 0.001043 0.001048 0.001053
2.2172 1.6941 1.6734 1.3750 1.1594
384.36 417.40 418.95 444.23 466.97
2111.8 2088.2 2087.0 2068.8 2052.3
2496.1 2505.6 2506.0 2513.0 2519.2
384.44 417.51 419.06 444.36 467.13
2278.0 2257.5 2256.5 2240.6 2226.0
2662.4 2675.0 2675.6 2684.9 2693.1
1.2132 1.3028 1.3069 1.3741 1.4337
6.2426 6.0562 6.0476 5.9100 5.7894
7.4558 7.3589 7.3545 7.2841 7.2231
175 200 225 250 275
116.04 120.21 123.97 127.41 130.58
0.001057 0.001061 0.001064 0.001067 0.001070
1.0037 0.88578 0.79329 0.71873 0.65732
486.82 504.50 520.47 535.08 548.57
2037.7 2024.6 2012.7 2001.8 1991.6
2524.5 2529.1 2533.2 2536.8 2540.1
487.01 504.71 520.71 535.35 548.86
2213.1 2201.6 2191.0 2181.2 2172.0
2700.2 2706.3 2711.7 2716.5 2720.9
1.4850 1.5302 1.5706 1.6072 1.6408
5.6865 5.5968 5.5171 5.4453 5.3800
7.1716 7.1270 7.0877 7.0525 7.0207
300 325 350 375 400
133.52 136.27 138.86 141.30 143.61
0.001073 0.001076 0.001079 0.001081 0.001084
0.60582 0.56199 0.52422 0.49133 0.46242
561.11 572.84 583.89 594.32 604.22
1982.1 1973.1 1964.6 1956.6 1948.9
2543.2 2545.9 2548.5 2550.9 2553.1
561.43 573.19 584.26 594.73 604.66
2163.5 2155.4 2147.7 2140.4 2133.4
2724.9 2728.6 2732.0 2735.1 2738.1
1.6717 1.7005 1.7274 1.7526 1.7765
5.3200 5.2645 5.2128 5.1645 5.1191
6.9917 6.9650 6.9402 6.9171 6.8955
450 500 550 600 650
147.90 151.83 155.46 158.83 161.98
0.001088 0.001093 0.001097 0.001101 0.001104
0.41392 0.37483 0.34261 0.31560 0.29260
622.65 639.54 655.16 669.72 683.37
1934.5 1921.2 1908.8 1897.1 1886.1
2557.1 2560.7 2563.9 2566.8 2569.4
623.14 640.09 655.77 670.38 684.08
2120.3 2108.0 2096.6 2085.8 2075.5
2743.4 2748.1 2752.4 2756.2 2759.6
1.8205 1.8604 1.8970 1.9308 1.9623
5.0356 4.9603 4.8916 4.8285 4.7699
6.8561 6.8207 6.7886 6.7593 6.7322
700 750
164.95 167.75
0.001108 0.001111
0.27278 696.23 0.25552 708.40
1875.6 1865.6
2571.8 2574.0
697.00 709.24
2065.8 2762.8 1.9918 4.7153 6.7071 2056.4 2765.7 2.0195 4.6642 6.6837
18Appendix_01 ITALICAS.qxd 916
34.791 28.185 19.233 14.670 10.020
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917
APÉNDICE 1
TABLA A-5 Agua saturada. Tabla de presiones (conclusión) Volumen específico, m3/kg Pres., P kPa
Temp. sat., Tsat °C
Líq. sat., vf
Vapor sat., vg
Energía interna, kJ/kg Líq. sat., uf
Evap., ufg
Entalpía, kJ/kg
Entropía, kJ/kg · K
Vapor sat., ug
Líq. sat, hf
Evap., hfg
Vapor sat., hg
Líq. sat., sf
Evap., sfg
Vapor sat., sg
800 850 900 950 1000
170.41 172.94 175.35 177.66 179.88
0.001115 0.001118 0.001121 0.001124 0.001127
0.24035 0.22690 0.21489 0.20411 0.19436
719.97 731.00 741.55 751.67 761.39
1856.1 1846.9 1838.1 1829.6 1821.4
2576.0 2577.9 2579.6 2581.3 2582.8
720.87 731.95 742.56 752.74 762.51
2047.5 2038.8 2030.5 2022.4 2014.6
2768.3 2770.8 2773.0 2775.2 2777.1
2.0457 2.0705 2.0941 2.1166 2.1381
4.6160 4.5705 4.5273 4.4862 4.4470
6.6616 6.6409 6.6213 6.6027 6.5850
1100 1200 1300 1400 1500
184.06 187.96 191.60 195.04 198.29
0.001133 0.001138 0.001144 0.001149 0.001154
0.17745 0.16326 0.15119 0.14078 0.13171
779.78 796.96 813.10 828.35 842.82
1805.7 1790.9 1776.8 1763.4 1750.6
2585.5 2587.8 2589.9 2591.8 2593.4
781.03 798.33 814.59 829.96 844.55
1999.6 1985.4 1971.9 1958.9 1946.4
2780.7 2783.8 2786.5 2788.9 2791.0
2.1785 2.2159 2.2508 2.2835 2.3143
4.3735 4.3058 4.2428 4.1840 4.1287
6.5520 6.5217 6.4936 6.4675 6.4430
1750 2000 2250 2500 3000
205.72 212.38 218.41 223.95 233.85
0.001166 0.001177 0.001187 0.001197 0.001217
0.11344 876.12 0.099587 906.12 0.088717 933.54 0.079952 958.87 0.066667 1004.6
1720.6 1693.0 1667.3 1643.2 1598.5
2596.7 878.16 2599.1 908.47 2600.9 936.21 2602.1 961.87 2603.2 1008.3
1917.1 1889.8 1864.3 1840.1 1794.9
2795.2 2798.3 2800.5 2801.9 2803.2
2.3844 2.4467 2.5029 2.5542 2.6454
4.0033 3.8923 3.7926 3.7016 3.5402
6.3877 6.3390 6.2954 6.2558 6.1856
3500 4000 5000 6000 7000
242.56 250.35 263.94 275.59 285.83
0.001235 0.001252 0.001286 0.001319 0.001352
0.057061 0.049779 0.039448 0.032449 0.027378
1045.4 1082.4 1148.1 1205.8 1258.0
1557.6 1519.3 1448.9 1384.1 1323.0
2603.0 2601.7 2597.0 2589.9 2581.0
1049.7 1087.4 1154.5 1213.8 1267.5
1753.0 1713.5 1639.7 1570.9 1505.2
2802.7 2800.8 2794.2 2784.6 2772.6
2.7253 2.7966 2.9207 3.0275 3.1220
3.3991 3.2731 3.0530 2.8627 2.6927
6.1244 6.0696 5.9737 5.8902 5.8148
8000 9000 10,000 11,000 12,000
295.01 303.35 311.00 318.08 324.68
0.001384 0.001418 0.001452 0.001488 0.001526
0.023525 0.020489 0.018028 0.015988 0.014264
1306.0 1350.9 1393.3 1433.9 1473.0
1264.5 1207.6 1151.8 1096.6 1041.3
2570.5 2558.5 2545.2 2530.4 2514.3
1317.1 1363.7 1407.8 1450.2 1491.3
1441.6 1379.3 1317.6 1256.1 1194.1
2758.7 2742.9 2725.5 2706.3 2685.4
3.2077 3.2866 3.3603 3.4299 3.4964
2.5373 2.3925 2.2556 2.1245 1.9975
5.7450 5.6791 5.6159 5.5544 5.4939
13,000 14,000 15,000 16,000 17,000
330.85 336.67 342.16 347.36 352.29
0.001566 0.001610 0.001657 0.001710 0.001770
0.012781 0.011487 0.010341 0.009312 0.008374
1511.0 1548.4 1585.5 1622.6 1660.2
985.5 928.7 870.3 809.4 745.1
2496.6 2477.1 2455.7 2432.0 2405.4
1531.4 1571.0 1610.3 1649.9 1690.3
1131.3 1067.0 1000.5 931.1 857.4
2662.7 2637.9 2610.8 2581.0 2547.7
3.5606 3.6232 3.6848 3.7461 3.8082
1.8730 1.7497 1.6261 1.5005 1.3709
5.4336 5.3728 5.3108 5.2466 5.1791
18,000 19,000 20,000 21,000 22,000 22,064
356.99 361.47 365.75 369.83 373.71 373.95
0.001840 0.001926 0.002038 0.002207 0.002703 0.003106
0.007504 0.006677 0.005862 0.004994 0.003644 0.003106
1699.1 1740.3 1785.8 1841.6 1951.7 2015.7
675.9 598.9 509.0 391.9 140.8 0
2375.0 2339.2 2294.8 2233.5 2092.4 2015.7
1732.2 1776.8 1826.6 1888.0 2011.1 2084.3
777.8 689.2 585.5 450.4 161.5 0
2510.0 2466.0 2412.1 2338.4 2172.6 2084.3
3.8720 3.9396 4.0146 4.1071 4.2942 4.4070
1.2343 1.0860 0.9164 0.7005 0.2496 0
5.1064 5.0256 4.9310 4.8076 4.5439 4.4070
18Appendix_01 ITALICAS.qxd 917
7/12/11 14:26:00
918
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-6 Vapor de agua sobrecalentado T °C
u kJ/kg
v m3/kg
h kJ/kg
s kJ/kg K
P 0.01 MPa (45.81°C)* Sat.† 50 100 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300
14.670 14.867 17.196 19.513 21.826 24.136 26.446 31.063 35.680 40.296 44.911 49.527 54.143 58.758 63.373 67.989 72.604
2437.2 2443.3 2515.5 2587.9 2661.4 2736.1 2812.3 2969.3 3132.9 3303.3 3480.8 3665.4 3856.9 4055.3 4260.0 4470.9 4687.4
2583.9 2592.0 2687.5 2783.0 2879.6 2977.5 3076.7 3280.0 3489.7 3706.3 3929.9 4160.6 4398.3 4642.8 4893.8 5150.8 5413.4
8.1488 8.1741 8.4489 8.6893 8.9049 9.1015 9.2827 9.6094 9.8998 10.1631 10.4056 10.6312 10.8429 11.0429 11.2326 11.4132 11.5857
P 0.20 MPa (120.21°C) Sat. 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300
0.88578 0.95986 1.08049 1.19890 1.31623 1.54934 1.78142 2.01302 2.24434 2.47550 2.70656 2.93755 3.16848 3.39938 3.63026
Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300
0.37483 0.42503 0.47443 0.52261 0.57015 0.61731 0.71095 0.80409 0.89696 0.98966 1.08227 1.17480 1.26728 1.35972 1.45214
2529.1 2577.1 2654.6 2731.4 2808.8 2967.2 3131.4 3302.2 3479.9 3664.7 3856.3 4054.8 4259.6 4470.5 4687.1
2706.3 7.1270 2769.1 7.2810 2870.7 7.5081 2971.2 7.7100 3072.1 7.8941 3277.0 8.2236 3487.7 8.5153 3704.8 8.7793 3928.8 9.0221 4159.8 9.2479 4397.7 9.4598 4642.3 9.6599 4893.3 9.8497 5150.4 10.0304 5413.1 10.2029
P 0.50 MPa (151.83°C) 2560.7 2643.3 2723.8 2803.3 2883.0 2963.7 3129.0 3300.4 3478.6 3663.6 3855.4 4054.0 4259.0 4470.0 4686.6
2748.1 2855.8 2961.0 3064.6 3168.1 3272.4 3484.5 3702.5 3927.0 4158.4 4396.6 4641.4 4892.6 5149.8 5412.6
6.8207 7.0610 7.2725 7.4614 7.6346 7.7956 8.0893 8.3544 8.5978 8.8240 9.0362 9.2364 9.4263 9.6071 9.7797
u kJ/kg
v m3/kg
h kJ/kg
s kJ/kg K
P 0.05 MPa (81.32°C) 2483.2
2645.2
7.5931
3.4187 3.8897 4.3562 4.8206 5.2841 6.2094 7.1338 8.0577 8.9813 9.9047 10.8280 11.7513 12.6745 13.5977 14.5209
2511.5 2585.7 2660.0 2735.1 2811.6 2968.9 3132.6 3303.1 3480.6 3665.2 3856.8 4055.2 4259.9 4470.8 4687.3
2682.4 2780.2 2877.8 2976.2 3075.8 3279.3 3489.3 3706.0 3929.7 4160.4 4398.2 4642.7 4893.7 5150.7 5413.3
7.6953 7.9413 8.1592 8.3568 8.5387 8.8659 9.1566 9.4201 9.6626 9.8883 10.1000 10.3000 10.4897 10.6704 10.8429
P 0.30 MPa (133.52°C) 2543.2 2571.0 2651.0 2728.9 2807.0 2966.0 3130.6 3301.6 3479.5 3664.3 3856.0 4054.5 4259.4 4470.3 4686.9
2724.9 6.9917 2761.2 7.0792 2865.9 7.3132 2967.9 7.5180 3069.6 7.7037 3275.5 8.0347 3486.6 8.3271 3704.0 8.5915 3928.2 8.8345 4159.3 9.0605 4397.3 9.2725 4642.0 9.4726 4893.1 9.6624 5150.2 9.8431 5413.0 10.0157
P 0.60 MPa (158.83°C) 0.31560 0.35212 0.39390 0.43442 0.47428 0.51374 0.59200 0.66976 0.74725 0.82457 0.90179 0.97893 1.05603 1.13309 1.21012
2566.8 2639.4 2721.2 2801.4 2881.6 2962.5 3128.2 3299.8 3478.1 3663.2 3855.1 4053.8 4258.8 4469.8 4686.4
2756.2 2850.6 2957.6 3062.0 3166.1 3270.8 3483.4 3701.7 3926.4 4157.9 4396.2 4641.1 4892.4 5149.6 5412.5
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.10 MPa (99.61°C)
3.2403
0.60582 0.63402 0.71643 0.79645 0.87535 1.03155 1.18672 1.34139 1.49580 1.65004 1.80417 1.95824 2.11226 2.26624 2.42019
v m3/kg
6.7593 6.9683 7.1833 7.3740 7.5481 7.7097 8.0041 8.2695 8.5132 8.7395 8.9518 9.1521 9.3420 9.5229 9.6955
1.6941 2505.6
2675.0
1.6959 1.9367 2.1724 2.4062 2.6389 3.1027 3.5655 4.0279 4.4900 4.9519 5.4137 5.8755 6.3372 6.7988 7.2605
2675.8 7.3611 2776.6 7.6148 2875.5 7.8356 2974.5 8.0346 3074.5 8.2172 3278.6 8.5452 3488.7 8.8362 3705.6 9.0999 3929.4 9.3424 4160.2 9.5682 4398.0 9.7800 4642.6 9.9800 4893.6 10.1698 5150.6 10.3504 5413.3 10.5229
2506.2 2582.9 2658.2 2733.9 2810.7 2968.3 3132.2 3302.8 3480.4 3665.0 3856.7 4055.0 4259.8 4470.7 4687.2
7.3589
P 0.40 MPa (143.61°C) 0.46242 0.47088 0.53434 0.59520 0.65489 0.77265 0.88936 1.00558 1.12152 1.23730 1.35298 1.46859 1.58414 1.69966 1.81516
2553.1 2564.4 2647.2 2726.4 2805.1 2964.9 3129.8 3301.0 3479.0 3663.9 3855.7 4054.3 4259.2 4470.2 4686.7
2738.1 2752.8 2860.9 2964.5 3067.1 3273.9 3485.5 3703.3 3927.6 4158.9 4396.9 4641.7 4892.9 5150.0 5412.8
6.8955 6.9306 7.1723 7.3804 7.5677 7.9003 8.1933 8.4580 8.7012 8.9274 9.1394 9.3396 9.5295 9.7102 9.8828
P 0.80 MPa (170.41°C) 0.24035 0.26088 0.29321 0.32416 0.35442 0.38429 0.44332 0.50186 0.56011 0.61820 0.67619 0.73411 0.79197 0.84980 0.90761
2576.0 2631.1 2715.9 2797.5 2878.6 2960.2 3126.6 3298.7 3477.2 3662.5 3854.5 4053.3 4258.3 4469.4 4686.1
2768.3 2839.8 2950.4 3056.9 3162.2 3267.7 3481.3 3700.1 3925.3 4157.0 4395.5 4640.5 4891.9 5149.3 5412.2
6.6616 6.8177 7.0402 7.2345 7.4107 7.5735 7.8692 8.1354 8.3794 8.6061 8.8185 9.0189 9.2090 9.3898 9.5625
*La temperatura entre paréntesis es la temperatura de saturación a la presión especificada. †
Propiedades del vapor saturado a la presión especificada.
18Appendix_01 ITALICAS.qxd 918
7/12/11 14:26:00
919
APÉNDICE 1
TABLA A-6 Vapor de agua sobrecalentado (continuación) T °C
u kJ/kg
v m3/kg
h kJ/kg
s v kJ/kg K m3/kg
P 1.00 MPa (179.88 C) Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300
0.19437 0.20602 0.23275 0.25799 0.28250 0.30661 0.35411 0.40111 0.44783 0.49438 0.54083 0.58721 0.63354 0.67983 0.72610
2582.8 2622.3 2710.4 2793.7 2875.7 2957.9 3125.0 3297.5 3476.3 3661.7 3853.9 4052.7 4257.9 4469.0 4685.8
2777.1 2828.3 2943.1 3051.6 3158.2 3264.5 3479.1 3698.6 3924.1 4156.1 4394.8 4640.0 4891.4 5148.9 5411.9
6.5850 6.6956 6.9265 7.1246 7.3029 7.4670 7.7642 8.0311 8.2755 8.5024 8.7150 8.9155 9.1057 9.2866 9.4593
P 1.60 MPa (201.37 C) Sat. 225 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300
0.12374 0.13293 0.14190 0.15866 0.17459 0.19007 0.22029 0.24999 0.27941 0.30865 0.33780 0.36687 0.39589 0.42488 0.45383
Sat. 225 250 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300
0.07995 0.08026 0.08705 0.09894 0.10979 0.12012 0.13015 0.13999 0.15931 0.17835 0.19722 0.21597 0.23466 0.25330 0.27190 0.29048
2594.8 2792.8 2645.1 2857.8 2692.9 2919.9 2781.6 3035.4 2866.6 3146.0 2950.8 3254.9 3120.1 3472.6 3293.9 3693.9 3473.5 3920.5 3659.5 4153.4 3852.1 4392.6 4051.2 4638.2 4256.6 4890.0 4467.9 5147.7 4684.8 5410.9
6.4200 6.5537 6.6753 6.8864 7.0713 7.2394 7.5410 7.8101 8.0558 8.2834 8.4965 8.6974 8.8878 9.0689 9.2418
P 2.50 MPa (223.95 C)
18Appendix_01 ITALICAS.qxd 919
2602.1 2604.8 2663.3 2762.2 2852.5 2939.8 3026.2 3112.8 3288.5 3469.3 3656.2 3849.4 4049.0 4254.7 4466.3 4683.4
2801.9 6.2558 2805.5 6.2629 2880.9 6.4107 3009.6 6.6459 3127.0 6.8424 3240.1 7.0170 3351.6 7.1768 3462.8 7.3254 3686.8 7.5979 3915.2 7.8455 4149.2 8.0744 4389.3 8.2882 4635.6 8.4897 4887.9 8.6804 5146.0 8.8618 5409.5 9.0349
u kJ/kg
h kJ/kg
s kJ/kg K
P 1.20 MPa (187.96 C) 0.16326 0.16934 0.19241 0.21386 0.23455 0.25482 0.29464 0.33395 0.37297 0.41184 0.45059 0.48928 0.52792 0.56652 0.60509
2587.8 2612.9 2704.7 2789.7 2872.7 2955.5 3123.4 3296.3 3475.3 3661.0 3853.3 4052.2 4257.5 4468.7 4685.5
2783.8 2816.1 2935.6 3046.3 3154.2 3261.3 3477.0 3697.0 3922.9 4155.2 4394.0 4639.4 4891.0 5148.5 5411.6
6.5217 6.5909 6.8313 7.0335 7.2139 7.3793 7.6779 7.9456 8.1904 8.4176 8.6303 8.8310 9.0212 9.2022 9.3750
P 1.80 MPa (207.11 C) 0.11037 0.11678 0.12502 0.14025 0.15460 0.16849 0.19551 0.22200 0.24822 0.27426 0.30020 0.32606 0.35188 0.37766 0.40341
2597.3 2637.0 2686.7 2777.4 2863.6 2948.3 3118.5 3292.7 3472.6 3658.8 3851.5 4050.7 4256.2 4467.6 4684.5
2795.9 2847.2 2911.7 3029.9 3141.9 3251.6 3470.4 3692.3 3919.4 4152.4 4391.9 4637.6 4889.6 5147.3 5410.6
6.3775 6.4825 6.6088 6.8246 7.0120 7.1814 7.4845 7.7543 8.0005 8.2284 8.4417 8.6427 8.8331 9.0143 9.1872
P 3.00 MPa (233.85 C)
u kJ/kg
v m3/kg
h kJ/kg
s kJ/kg K
P 1.40 MPa (195.04 C) 0.14078 0.14303 0.16356 0.18233 0.20029 0.21782 0.25216 0.28597 0.31951 0.35288 0.38614 0.41933 0.45247 0.48558 0.51866
2591.8 2602.7 2698.9 2785.7 2869.7 2953.1 3121.8 3295.1 3474.4 3660.3 3852.7 4051.7 4257.0 4468.3 4685.1
2788.9 2803.0 2927.9 3040.9 3150.1 3258.1 3474.8 3695.5 3921.7 4154.3 4393.3 4638.8 4890.5 5148.1 5411.3
6.4675 6.4975 6.7488 6.9553 7.1379 7.3046 7.6047 7.8730 8.1183 8.3458 8.5587 8.7595 8.9497 9.1308 9.3036
P 2.00 MPa (212.38 C) 0.09959 0.10381 0.11150 0.12551 0.13860 0.15122 0.17568 0.19962 0.22326 0.24674 0.27012 0.29342 0.31667 0.33989 0.36308
2599.1 2798.3 6.3390 2628.5 2836.1 6.4160 2680.3 2903.3 6.5475 2773.2 3024.2 6.7684 2860.5 3137.7 6.9583 2945.9 3248.4 7.1292 3116.9 3468.3 7.4337 3291.5 3690.7 7.7043 3471.7 3918.2 7.9509 3658.0 4151.5 8.1791 3850.9 4391.1 8.3925 4050.2 4637.1 8.5936 4255.7 4889.1 8.7842 4467.2 5147.0 8.9654 4684.2 5410.3 9.1384
P 3.50 MPa (242.56 C)
0.06667
2603.2
2803.2
6.1856
0.05706
2603.0
2802.7 6.1244
0.07063 0.08118 0.09056 0.09938 0.10789 0.11620 0.13245 0.14841 0.16420 0.17988 0.19549 0.21105 0.22658 0.24207
2644.7 2750.8 2844.4 2933.6 3021.2 3108.6 3285.5 3467.0 3654.3 3847.9 4047.7 4253.6 4465.3 4682.6
2856.5 2994.3 3116.1 3231.7 3344.9 3457.2 3682.8 3912.2 4146.9 4387.5 4634.2 4886.7 5145.1 5408.8
6.2893 6.5412 6.7450 6.9235 7.0856 7.2359 7.5103 7.7590 7.9885 8.2028 8.4045 8.5955 8.7771 8.9502
0.05876 0.06845 0.07680 0.08456 0.09198 0.09919 0.11325 0.12702 0.14061 0.15410 0.16751 0.18087 0.19420 0.20750
2624.0 2829.7 2738.8 2978.4 2836.0 3104.9 2927.2 3223.2 3016.1 3338.1 3104.5 3451.7 3282.5 3678.9 3464.7 3909.3 3652.5 4144.6 3846.4 4385.7 4046.4 4632.7 4252.5 4885.6 4464.4 5144.1 4681.8 5408.0
6.1764 6.4484 6.6601 6.8428 7.0074 7.1593 7.4357 7.6855 7.9156 8.1304 8.3324 8.5236 8.7053 8.8786
7/12/11 14:26:00
920
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-6 Vapor de agua sobrecalentado (continuación) T °C
v m3/kg
u kJ/kg
Sat. 275 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300
0.04978 0.05461 0.05887 0.06647 0.07343 0.08004 0.08644 0.09886 0.11098 0.12292 0.13476 0.14653 0.15824 0.16992 0.18157
h kJ/kg
s v kJ/kg K m3/kg
P 4.0 MPa (250.35 C) 2601.7 2668.9 2726.2 2827.4 2920.8 3011.0 3100.3 3279.4 3462.4 3650.6 3844.8 4045.1 4251.4 4463.5 4680.9
2800.8 2887.3 2961.7 3093.3 3214.5 3331.2 3446.0 3674.9 3906.3 4142.3 4383.9 4631.2 4884.4 5143.2 5407.2
6.0696 6.2312 6.3639 6.5843 6.7714 6.9386 7.0922 7.3706 7.6214 7.8523 8.0675 8.2698 8.4612 8.6430 8.8164
P 6.0 MPa (275.59 C) Sat. 300 350 400 450 500 550 600 700 800 900 1000 1100 1200 1300
0.03245 0.03619 0.04225 0.04742 0.05217 0.05667 0.06102 0.06527 0.07355 0.08165 0.08964 0.09756 0.10543 0.11326 0.12107
2589.9 2668.4 2790.4 2893.7 2989.9 3083.1 3175.2 3267.2 3453.0 3643.2 3838.8 4040.1 4247.1 4459.8 4677.7
2784.6 2885.6 3043.9 3178.3 3302.9 3423.1 3541.3 3658.8 3894.3 4133.1 4376.6 4625.4 4879.7 5139.4 5404.1
5.8902 6.0703 6.3357 6.5432 6.7219 6.8826 7.0308 7.1693 7.4247 7.6582 7.8751 8.0786 8.2709 8.4534 8.6273
P 9.0 MPa (303.35 C) Sat. 325 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300
0.020489 0.023284 0.025816 0.029960 0.033524 0.036793 0.039885 0.042861 0.045755 0.048589 0.054132 0.059562 0.064919 0.070224 0.075492 0.080733
18Appendix_01 ITALICAS.qxd 920
2558.5 2647.6 2725.0 2849.2 2956.3 3056.3 3153.0 3248.4 3343.4 3438.8 3632.0 3829.6 4032.4 4240.7 4454.2 4672.9
2742.9 2857.1 2957.3 3118.8 3258.0 3387.4 3512.0 3634.1 3755.2 3876.1 4119.2 4365.7 4616.7 4872.7 5133.6 5399.5
5.6791 5.8738 6.0380 6.2876 6.4872 6.6603 6.8164 6.9605 7.0954 7.2229 7.4606 7.6802 7.8855 8.0791 8.2625 8.4371
u kJ/kg
h kJ/kg
s v kJ/kg K m3/kg
P 4.5 MPa (257.44 C) 0.04406 0.04733 0.05138 0.05842 0.06477 0.07076 0.07652 0.08766 0.09850 0.10916 0.11972 0.13020 0.14064 0.15103 0.16140
2599.7 2651.4 2713.0 2818.6 2914.2 3005.8 3096.0 3276.4 3460.0 3648.8 3843.3 4043.9 4250.4 4462.6 4680.1
2798.0 2864.4 2944.2 3081.5 3205.7 3324.2 3440.4 3670.9 3903.3 4140.0 4382.1 4629.8 4883.2 5142.2 5406.5
6.0198 6.1429 6.2854 6.5153 6.7071 6.8770 7.0323 7.3127 7.5647 7.7962 8.0118 8.2144 8.4060 8.5880 8.7616
P 7.0 MPa (285.83 C) 0.027378 0.029492 0.035262 0.039958 0.044187 0.048157 0.051966 0.055665 0.062850 0.069856 0.076750 0.083571 0.090341 0.097075 0.103781
2581.0 2633.5 2770.1 2879.5 2979.0 3074.3 3167.9 3261.0 3448.3 3639.5 3835.7 4037.5 4245.0 4457.9 4676.1
2772.6 2839.9 3016.9 3159.2 3288.3 3411.4 3531.6 3650.6 3888.3 4128.5 4373.0 4622.5 4877.4 5137.4 5402.6
5.8148 5.9337 6.2305 6.4502 6.6353 6.8000 6.9507 7.0910 7.3487 7.5836 7.8014 8.0055 8.1982 8.3810 8.5551
P 10.0 MPa (311.00 C) 0.018028 0.019877 0.022440 0.026436 0.029782 0.032811 0.035655 0.038378 0.041018 0.043597 0.048629 0.053547 0.058391 0.063183 0.067938 0.072667
2545.2 2611.6 2699.6 2833.1 2944.5 3047.0 3145.4 3242.0 3338.0 3434.0 3628.2 3826.5 4029.9 4238.5 4452.4 4671.3
2725.5 2810.3 2924.0 3097.5 3242.4 3375.1 3502.0 3625.8 3748.1 3870.0 4114.5 4362.0 4613.8 4870.3 5131.7 5398.0
5.6159 5.7596 5.9460 6.2141 6.4219 6.5995 6.7585 6.9045 7.0408 7.1693 7.4085 7.6290 7.8349 8.0289 8.2126 8.3874
u kJ/kg
h kJ/kg
s kJ/kg K
P 5.0 MPa (263.94 C) 0.03945 0.04144 0.04535 0.05197 0.05784 0.06332 0.06858 0.07870 0.08852 0.09816 0.10769 0.11715 0.12655 0.13592 0.14527
2597.0 2632.3 2699.0 2809.5 2907.5 3000.6 3091.8 3273.3 3457.7 3646.9 3841.8 4042.6 4249.3 4461.6 4679.3
2794.2 2839.5 2925.7 3069.3 3196.7 3317.2 3434.7 3666.9 3900.3 4137.7 4380.2 4628.3 4882.1 5141.3 5405.7
5.9737 6.0571 6.2111 6.4516 6.6483 6.8210 6.9781 7.2605 7.5136 7.7458 7.9619 8.1648 8.3566 8.5388 8.7124
P 8.0 MPa (295.01 C) 0.023525 0.024279 0.029975 0.034344 0.038194 0.041767 0.045172 0.048463 0.054829 0.061011 0.067082 0.073079 0.079025 0.084934 0.090817
2570.5 2592.3 2748.3 2864.6 2967.8 3065.4 3160.5 3254.7 3443.6 3635.7 3832.7 4035.0 4242.8 4456.1 4674.5
2758.7 2786.5 2988.1 3139.4 3273.3 3399.5 3521.8 3642.4 3882.2 4123.8 4369.3 4619.6 4875.0 5135.5 5401.0
5.7450 5.7937 6.1321 6.3658 6.5579 6.7266 6.8800 7.0221 7.2822 7.5185 7.7372 7.9419 8.1350 8.3181 8.4925
P 12.5 MPa (327.81 C) 0.013496 2505.6
2674.3 5.4638
0.016138 0.020030 0.023019 0.025630 0.028033 0.030306 0.032491 0.034612 0.038724 0.042720 0.046641 0.050510 0.054342 0.058147
2826.6 3040.0 3201.5 3343.6 3476.5 3604.6 3730.2 3854.6 4102.8 4352.9 4606.5 4864.5 5127.0 5394.1
2624.9 2789.6 2913.7 3023.2 3126.1 3225.8 3324.1 3422.0 3618.8 3818.9 4023.5 4233.1 4447.7 4667.3
5.7130 6.0433 6.2749 6.4651 6.6317 6.7828 6.9227 7.0540 7.2967 7.5195 7.7269 7.9220 8.1065 8.2819
7/12/11 14:26:01
921
APÉNDICE 1
TABLA A-6 Vapor de agua sobrecalentado (conclusión) T °C
v m3/kg
u kJ/kg
Sat. 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300
0.010341 0.011481 0.015671 0.018477 0.020828 0.022945 0.024921 0.026804 0.028621 0.032121 0.035503 0.038808 0.042062 0.045279 0.048469
h kJ/kg
s v kJ/kg K m3/kg
P 15.0 MPa (342.16 C) 2455.7 2520.9 2740.6 2880.8 2998.4 3106.2 3209.3 3310.1 3409.8 3609.3 3811.2 4017.1 4227.7 4443.1 4663.3
2610.8 2693.1 2975.7 3157.9 3310.8 3450.4 3583.1 3712.1 3839.1 4091.1 4343.7 4599.2 4858.6 5122.3 5390.3
5.3108 5.4438 5.8819 6.1434 6.3480 6.5230 6.6796 6.8233 6.9573 7.2037 7.4288 7.6378 7.8339 8.0192 8.1952
0.001978 0.006005 0.007886 0.009176 0.011143 0.012736 0.014140 0.015430 0.016643 0.018922 0.021075 0.023150 0.025172 0.027157 0.029115
1799.9 2428.5 2607.8 2721.2 2887.3 3020.8 3140.0 3251.9 3359.9 3570.7 3780.2 3991.5 4206.1 4424.6 4647.2
1849.4 2578.7 2805.0 2950.6 3165.9 3339.2 3493.5 3637.7 3776.0 4043.8 4307.1 4570.2 4835.4 5103.5 5375.1
0.001641 0.001911 0.002538 0.003692 0.005623 0.006985 0.008089 0.009053 0.009930 0.011521 0.012980 0.014360 0.015686 0.016976 0.018239
18Appendix_01 ITALICAS.qxd 921
1677.0 1855.0 2097.5 2364.2 2681.6 2875.1 3026.8 3159.5 3282.0 3511.8 3733.3 3952.9 4173.7 4396.9 4623.3
1742.6 1931.4 2199.0 2511.8 2906.5 3154.4 3350.4 3521.6 3679.2 3972.6 4252.5 4527.3 4801.1 5075.9 5352.8
s v kJ/kg K m3/kg
P 17.5 MPa (354.67 C)
u kJ/kg
4.9310
0.012463 0.015204 0.017385 0.019305 0.021073 0.022742 0.024342 0.027405 0.030348 0.033215 0.036029 0.038806 0.041556
0.009950 0.012721 0.014793 0.016571 0.018185 0.019695 0.021134 0.023870 0.026484 0.029020 0.031504 0.033952 0.036371
5.5526 5.9043 6.1446 6.3390 6.5075 6.6593 6.7991 7.0531 7.2829 7.4950 7.6933 7.8802 8.0574
2684.3 2845.4 2972.4 3085.8 3192.5 3295.8 3397.5 3599.7 3803.5 4010.7 4222.3 4438.5 4659.2
2902.4 3111.4 3276.7 3423.6 3561.3 3693.8 3823.5 4079.3 4334.6 4592.0 4852.8 5117.6 5386.5
5.7211 6.0212 6.2424 6.4266 6.5890 6.7366 6.8735 7.1237 7.3511 7.5616 7.7588 7.9449 8.1215
0.001792 0.002798 0.005299 0.006737 0.008691 0.010175 0.011445 0.012590 0.013654 0.015628 0.017473 0.019240 0.020954 0.022630 0.024279
1738.1 2068.9 2452.9 2618.9 2824.0 2974.5 3103.4 3221.7 3334.3 3551.2 3764.6 3978.6 4195.2 4415.3 4639.2
1791.9 2152.8 2611.8 2821.0 3084.8 3279.7 3446.8 3599.4 3743.9 4020.0 4288.8 4555.8 4823.9 5094.2 5367.6
0.001560 0.001731 0.002009 0.002487 0.003890 0.005118 0.006108 0.006957 0.007717 0.009073 0.010296 0.011441 0.012534 0.013590 0.014620
1638.6 1787.8 1960.3 2160.3 2528.1 2769.5 2947.1 3095.6 3228.7 3472.2 3702.0 3927.4 4152.2 4378.6 4607.5
1716.6 1874.4 2060.7 2284.7 2722.6 3025.4 3252.6 3443.5 3614.6 3925.8 4216.8 4499.4 4778.9 5058.1 5338.5
2617.9 2807.3 2945.3 3064.7 3175.3 3281.4 3385.1 3590.1 3795.7 4004.3 4216.9 4433.8 4655.2
2816.9 3061.7 3241.2 3396.2 3539.0 3675.3 3807.8 4067.5 4325.4 4584.7 4847.0 5112.9 5382.7
P 35.0 MPa 3.9313 4.4758 5.1473 5.4422 5.7956 6.0403 6.2373 6.4074 6.5599 6.8301 7.0695 7.2880 7.4906 7.6807 7.8602
0.001701 0.002105 0.003434 0.004957 0.006933 0.008348 0.009523 0.010565 0.011523 0.013278 0.014904 0.016450 0.017942 0.019398 0.020827
P 50.0 MPa 3.8290 4.1145 4.5044 4.9449 5.4744 5.7857 6.0170 6.2078 6.3740 6.6613 6.9107 7.1355 7.3425 7.5357 7.7175
s kJ/kg K
P 20.0 MPa (365.75 C)
P 30.0 MPa 4.0345 5.1400 5.4708 5.6759 5.9643 6.1816 6.3637 6.5243 6.6702 6.9322 7.1668 7.3821 7.5825 7.7710 7.9494
h kJ/kg
0.005862 2294.8 2412.1
P 40.0 MPa 375 400 425 450 500 550 600 650 700 800 900 1000 1100 1200 1300
h kJ/kg
0.007932 2390.7 2529.5 5.1435
P 25.0 MPa 375 400 425 450 500 550 600 650 700 800 900 1000 1100 1200 1300
u kJ/kg
1702.8 1914.9 2253.3 2497.5 2755.3 2925.8 3065.6 3190.9 3308.3 3531.6 3749.0 3965.8 4184.4 4406.1 4631.2
1762.4 1988.6 2373.5 2671.0 2997.9 3218.0 3399.0 3560.7 3711.6 3996.3 4270.6 4541.5 4812.4 5085.0 5360.2
3.8724 4.2144 4.7751 5.1946 5.6331 5.9093 6.1229 6.3030 6.4623 6.7409 6.9853 7.2069 7.4118 7.6034 7.7841
P 60.0 MPa 3.7642 4.0029 4.2746 4.5896 5.1762 5.5563 5.8245 6.0373 6.2179 6.5225 6.7819 7.0131 7.2244 7.4207 7.6048
0.001503 0.001633 0.001816 0.002086 0.002952 0.003955 0.004833 0.005591 0.006265 0.007456 0.008519 0.009504 0.010439 0.011339 0.012213
1609.7 1745.2 1892.9 2055.1 2393.2 2664.6 2866.8 3031.3 3175.4 3432.6 3670.9 3902.0 4130.9 4360.5 4591.8
1699.9 1843.2 2001.8 2180.2 2570.3 2901.9 3156.8 3366.8 3551.3 3880.0 4182.1 4472.2 4757.3 5040.8 5324.5
3.7149 3.9317 4.1630 4.4140 4.9356 5.3517 5.6527 5.8867 6.0814 6.4033 6.6725 6.9099 7.1255 7.3248 7.5111
7/12/11 14:26:01
922
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-7 Agua líquida comprimida T °C
u kJ/kg
v m3/kg
h kJ/kg
s v kJ/kg K m3/kg
P 5 MPa (263.94 C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340
0.0012862 1148.1 1154.5 0.0009977 0.04 5.03 0.0009996 83.61 88.61 0.0010057 166.92 171.95 0.0010149 250.29 255.36 0.0010267 333.82 338.96 0.0010410 417.65 422.85 0.0010576 501.91 507.19 0.0010769 586.80 592.18 0.0010988 672.55 678.04 0.0011240 759.47 765.09 0.0011531 847.92 853.68 0.0011868 938.39 944.32 0.0012268 1031.6 1037.7 0.0012755 1128.5 1134.9
u kJ/kg
0.0020378 0.0009904 0.0009929 0.0009992 0.0010084 0.0010199 0.0010337 0.0010496 0.0010679 0.0010886 0.0011122 0.0011390 0.0011697 0.0012053 0.0012472 0.0012978 0.0013611 0.0014450 0.0015693 0.0018248
18Appendix_01 ITALICAS.qxd 922
1785.8 0.23 82.71 165.17 247.75 330.50 413.50 496.85 580.71 665.28 750.78 837.49 925.77 1016.1 1109.0 1205.6 1307.2 1416.6 1540.2 1703.6
1826.6 20.03 102.57 185.16 267.92 350.90 434.17 517.84 602.07 687.05 773.02 860.27 949.16 1040.2 1134.0 1231.5 1334.4 1445.5 1571.6 1740.1
s v kJ/kg K m3/kg
P 10 MPa (311.00 C) 2.9207 0.0001 0.2954 0.5705 0.8287 1.0723 1.3034 1.5236 1.7344 1.9374 2.1338 2.3251 2.5127 2.6983 2.8841
0.0014522 0.0009952 0.0009973 0.0010035 0.0010127 0.0010244 0.0010385 0.0010549 0.0010738 0.0010954 0.0011200 0.0011482 0.0011809 0.0012192 0.0012653 0.0013226 0.0013980
P 20 MPa (365.75 C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380
h kJ/kg
4.0146 0.0005 0.2921 0.5646 0.8208 1.0627 1.2920 1.5105 1.7194 1.9203 2.1143 2.3027 2.4867 2.6676 2.8469 3.0265 3.2091 3.3996 3.6086 3.8787
1393.3 0.12 83.31 166.33 249.43 332.69 416.23 500.18 584.72 670.06 756.48 844.32 934.01 1026.2 1121.6 1221.8 1329.4
1407.9 10.07 93.28 176.37 259.55 342.94 426.62 510.73 595.45 681.01 767.68 855.80 945.82 1038.3 1134.3 1235.0 1343.3
3.3603 0.0003 0.2943 0.5685 0.8260 1.0691 1.2996 1.5191 1.7293 1.9316 2.1271 2.3174 2.5037 2.6876 2.8710 3.0565 3.2488
u kJ/kg
0.29 82.11 164.05 246.14 328.40 410.87 493.66 576.90 660.74 745.40 831.11 918.15 1006.9 1097.8 1191.5 1288.9 1391.7 1502.4 1626.8 1782.0
29.86 111.77 193.90 276.26 358.86 441.74 525.00 608.76 693.21 778.55 865.02 952.93 1042.7 1134.7 1229.8 1328.9 1433.7 1547.1 1675.6 1838.2
s kJ/kg K
P 15 MPa (342.16 C) 0.0016572 0.0009928 0.0009951 0.0010013 0.0010105 0.0010221 0.0010361 0.0010522 0.0010708 0.0010920 0.0011160 0.0011435 0.0011752 0.0012121 0.0012560 0.0013096 0.0013783 0.0014733 0.0016311
P 30 MPa 0.0009857 0.0009886 0.0009951 0.0010042 0.0010155 0.0010290 0.0010445 0.0010623 0.0010823 0.0011049 0.0011304 0.0011595 0.0011927 0.0012314 0.0012770 0.0013322 0.0014014 0.0014932 0.0016276 0.0018729
h kJ/kg
1585.5 0.18 83.01 165.75 248.58 331.59 414.85 498.50 582.69 667.63 753.58 840.84 929.81 1021.0 1115.1 1213.4 1317.6 1431.9 1567.9
1610.3 15.07 97.93 180.77 263.74 346.92 430.39 514.28 598.75 684.01 770.32 858.00 947.43 1039.2 1134.0 1233.0 1338.3 1454.0 1592.4
3.6848 0.0004 0.2932 0.5666 0.8234 1.0659 1.2958 1.5148 1.7243 1.9259 2.1206 2.3100 2.4951 2.6774 2.8586 3.0410 3.2279 3.4263 3.6555
P 50 MPa 0.0003 0.2897 0.5607 0.8156 1.0564 1.2847 1.5020 1.7098 1.9094 2.1020 2.2888 2.4707 2.6491 2.8250 3.0001 3.1761 3.3558 3.5438 3.7499 4.0026
0.0009767 0.0009805 0.0009872 0.0009962 0.0010072 0.0010201 0.0010349 0.0010517 0.0010704 0.0010914 0.0011149 0.0011412 0.0011708 0.0012044 0.0012430 0.0012879 0.0013409 0.0014049 0.0014848 0.0015884
0.29 80.93 161.90 243.08 324.42 405.94 487.69 569.77 652.33 735.49 819.45 904.39 990.55 1078.2 1167.7 1259.6 1354.3 1452.9 1556.5 1667.1
49.13 0.0010 129.95 0.2845 211.25 0.5528 292.88 0.8055 374.78 1.0442 456.94 1.2705 539.43 1.4859 622.36 1.6916 705.85 1.8889 790.06 2.0790 875.19 2.2628 961.45 2.4414 1049.1 2.6156 1138.4 2.7864 1229.9 2.9547 1324.0 3.1218 1421.4 3.2888 1523.1 3.4575 1630.7 3.6301 1746.5 3.8102
7/12/11 14:26:01
923
APÉNDICE 1
TABLA A-8 Hielo saturado. Vapor de agua Volumen específico, m3/kg
Energía interna, kJ/kg
Entalpía, kJ/kg
Entropía, kJ/kg · K
Temp., T °C
Pres. sat., Psat kPa
Hielo sat, vi
Vapor sat., vg
Hielo sat., ui
Subl., uig
Vapor sat., ug
Hielo sat., hi
Subl., hig
Vapor sat., hg
Hielo sat., si
Subl., sig
Vapor sat., sg
0.01 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40
0.61169 0.61115 0.51772 0.43748 0.36873 0.30998 0.25990 0.21732 0.18121 0.15068 0.12492 0.10326 0.08510 0.06991 0.05725 0.04673 0.03802 0.03082 0.02490 0.02004 0.01608 0.01285
0.001091 0.001091 0.001091 0.001090 0.001090 0.001090 0.001089 0.001089 0.001088 0.001088 0.001088 0.001087 0.001087 0.001087 0.001087 0.001086 0.001086 0.001086 0.001085 0.001085 0.001085 0.001084
205.99 206.17 241.62 283.84 334.27 394.66 467.17 554.47 659.88 787.51 942.51 1131.3 1362.0 1644.7 1992.2 2421.0 2951.7 3610.9 4432.4 5460.1 6750.5 8376.7
333.40 333.43 337.63 341.80 345.94 350.04 354.12 358.17 362.18 366.17 370.13 374.06 377.95 381.82 385.66 389.47 393.25 397.00 400.72 404.40 408.07 411.70
2707.9 2707.9 2709.4 2710.8 2712.2 2713.5 2714.8 2716.1 2717.3 2718.6 2719.7 2720.9 2722.0 2723.1 2724.2 2725.2 2726.2 2727.2 2728.1 2729.0 2729.9 2730.7
2374.5 2374.5 2371.8 2369.0 2366.2 2363.5 2360.7 2357.9 2355.2 2352.4 2349.6 2346.8 2344.1 2341.3 2338.5 2335.7 2332.9 2330.2 2327.4 2324.6 2321.8 2319.0
333.40 333.43 337.63 341.80 345.93 350.04 354.12 358.17 362.18 366.17 370.13 374.06 377.95 381.82 385.66 389.47 393.25 397.00 400.72 404.40 408.07 411.70
2833.9 2833.9 2834.5 2835.0 2835.4 2835.8 2836.2 2836.6 2836.9 2837.2 2837.5 2837.7 2837.9 2838.1 2838.2 2838.3 2838.4 2838.4 2838.5 2838.4 2838.4 2838.3
2500.5 2500.5 2496.8 2493.2 2489.5 2485.8 2482.1 2478.4 2474.7 2471.0 2467.3 2463.6 2459.9 2456.2 2452.5 2448.8 2445.1 2441.4 2437.7 2434.0 2430.3 2426.6
1.2202 1.2204 1.2358 1.2513 1.2667 1.2821 1.2976 1.3130 1.3284 1.3439 1.3593 1.3748 1.3903 1.4057 1.4212 1.4367 1.4521 1.4676 1.4831 1.4986 1.5141 1.5296
10.374 10.375 10.453 10.533 10.613 10.695 10.778 10.862 10.947 11.033 11.121 11.209 11.300 11.391 11.484 11.578 11.673 11.770 11.869 11.969 12.071 12.174
9.154 9.154 9.218 9.282 9.347 9.413 9.480 9.549 9.618 9.689 9.761 9.835 9.909 9.985 10.063 10.141 10.221 10.303 10.386 10.470 10.557 10.644
18Appendix_01 ITALICAS.qxd 923
7/12/11 14:26:01
926
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-11 Refrigerante 134a saturado. Tabla de temperatura Volumen específico, m3/kg
Energía interna, kJ/kg
Pres. Líq. Temp., sat., sat., T °C Psat kPa vf
Vapor sat., vg
Líq. sat., uf
Evap., ufg
Vapor sat., ug
40 38 36 34 32
51.25 56.86 62.95 69.56 76.71
0.0007054 0.0007083 0.0007112 0.0007142 0.0007172
0.36081 0.32732 0.29751 0.27090 0.24711
0.036 2.475 4.992 7.517 10.05
207.40 206.04 204.67 203.29 201.91
30 28 26 24 22
84.43 92.76 101.73 111.37 121.72
0.0007203 0.0007234 0.0007265 0.0007297 0.0007329
0.22580 0.20666 0.18946 0.17395 0.15995
12.59 15.13 17.69 20.25 22.82
20 18 16 14 12
132.82 144.69 157.38 170.93 185.37
0.0007362 0.0007396 0.0007430 0.0007464 0.0007499
0.14729 0.13583 0.12542 0.11597 0.10736
10 8 6 4 2
200.74 217.08 234.44 252.85 272.36
0.0007535 0.0007571 0.0007608 0.0007646 0.0007684
0 2 4 6 8
293.01 314.84 337.90 362.23 387.88
10 12 14 16 18
414.89 443.31 473.19 504.58 537.52
18Appendix_01 ITALICAS.qxd 926
Entalpía, kJ/kg Líq. sat., hf
Entropía, kJ/kg · K
Evap., hfg
Vapor sat., hg
Líq. sat., sf
Evap., sfg
Vapor sat., sg
207.37 0.000 208.51 2.515 209.66 5.037 210.81 7.566 211.96 10.10
225.86 224.61 223.35 222.09 220.81
225.86 227.12 228.39 229.65 230.91
0.00000 0.01072 0.02138 0.03199 0.04253
0.96866 0.95511 0.94176 0.92859 0.91560
0.96866 0.96584 0.96315 0.96058 0.95813
200.52 199.12 197.72 196.30 194.88
213.11 214.25 215.40 216.55 217.70
12.65 15.20 17.76 20.33 22.91
219.52 232.17 218.22 233.43 216.92 234.68 215.59 235.92 214.26 s237.17
0.05301 0.06344 0.07382 0.08414 0.09441
0.90278 0.89012 0.87762 0.86527 0.85307
0.95579 0.95356 0.95144 0.94941 0.94748
25.39 27.98 30.57 33.17 35.78
193.45 192.01 190.56 189.09 187.62
218.84 219.98 221.13 222.27 223.40
25.49 28.09 30.69 33.30 35.92
212.91 211.55 210.18 208.79 207.38
238.41 239.64 240.87 242.09 243.30
0.10463 0.11481 0.12493 0.13501 0.14504
0.84101 0.82908 0.81729 0.80561 0.79406
0.94564 0.94389 0.94222 0.94063 0.93911
0.099516 0.092352 0.085802 0.079804 0.074304
38.40 41.03 43.66 46.31 48.96
186.14 184.64 183.13 181.61 180.08
224.54 225.67 226.80 227.92 229.04
38.55 41.19 43.84 46.50 49.17
205.96 204.52 203.07 201.60 200.11
244.51 245.72 246.91 248.10 249.28
0.15504 0.16498 0.17489 0.18476 0.19459
0.78263 0.77130 0.76008 0.74896 0.73794
0.93766 0.93629 0.93497 0.93372 0.93253
0.0007723 0.0007763 0.0007804 0.0007845 0.0007887
0.069255 0.064612 0.060338 0.056398 0.052762
51.63 54.30 56.99 59.68 62.39
178.53 176.97 175.39 173.80 172.19
230.16 231.27 232.38 233.48 234.58
51.86 54.55 57.25 59.97 62.69
198.60 197.07 195.51 193.94 192.35
250.45 251.61 252.77 253.91 255.04
0.20439 0.21415 0.22387 0.23356 0.24323
0.72701 0.71616 0.70540 0.69471 0.68410
0.93139 0.93031 0.92927 0.92828 0.92733
0.0007930 0.0007975 0.0008020 0.0008066 0.0008113
0.049403 0.046295 0.043417 0.040748 0.038271
65.10 67.83 70.57 73.32 76.08
170.56 168.92 167.26 165.58 163.88
235.67 236.75 237.83 238.90 239.96
65.43 68.18 70.95 73.73 76.52
190.73 189.09 187.42 185.73 184.01
256.16 257.27 258.37 259.46 260.53
0.25286 0.26246 0.27204 0.28159 0.29112
0.67356 0.66308 0.65266 0.64230 0.63198
0.92641 0.92554 0.92470 0.92389 0.92310
7/12/11 14:26:02
927
APÉNDICE 1
TABLA A-11 Refrigerante 134a saturado. Tabla de temperatura (conclusión) Volumen específico, m3/kg Pres. Líq. Temp., sat., sat., T °C Psat kPa vf
Vapor sat., vg
Energía interna, kJ/kg Líq. sat., uf
Evap., ufg
Vapor sat., ug
Entalpía, kJ/kg Líq. sat., hf
Entropía, kJ/kg · K
Evap., hfg
Vapor sat., hg
Líq. sat., sf
Evap., sfg
Vapor sat., sg
20 22 24 26 28
572.07 608.27 646.18 685.84 727.31
0.0008161 0.0008210 0.0008261 0.0008313 0.0008366
0.035969 0.033828 0.031834 0.029976 0.028242
78.86 81.64 84.44 87.26 90.09
162.16 160.42 158.65 156.87 155.05
241.02 242.06 243.10 244.12 245.14
79.32 82.14 84.98 87.83 90.69
182.27 180.49 178.69 176.85 174.99
261.59 262.64 263.67 264.68 265.68
0.30063 0.31011 0.31958 0.32903 0.33846
0.62172 0.61149 0.60130 0.59115 0.58102
0.92234 0.92160 0.92088 0.92018 0.91948
30 32 34 36 38
770.64 815.89 863.11 912.35 963.68
0.0008421 0.0008478 0.0008536 0.0008595 0.0008657
0.026622 0.025108 0.023691 0.022364 0.021119
92.93 95.79 98.66 101.55 104.45
153.22 151.35 149.46 147.54 145.58
246.14 247.14 248.12 249.08 250.04
93.58 96.48 99.40 102.33 105.29
173.08 171.14 169.17 167.16 165.10
266.66 267.62 268.57 269.49 270.39
0.34789 0.35730 0.36670 0.37609 0.38548
0.57091 0.56082 0.55074 0.54066 0.53058
0.91879 0.91811 0.91743 0.91675 0.91606
40 42 44 46 48
1017.1 1072.8 1130.7 1191.0 1253.6
0.0008720 0.0008786 0.0008854 0.0008924 0.0008996
0.019952 0.018855 0.017824 0.016853 0.015939
107.38 110.32 113.28 116.26 119.26
143.60 141.58 139.52 137.42 135.29
250.97 251.89 252.80 253.68 254.55
108.26 111.26 114.28 117.32 120.39
163.00 160.86 158.67 156.43 154.14
271.27 272.12 272.95 273.75 274.53
0.39486 0.40425 0.41363 0.42302 0.43242
0.52049 0.51039 0.50027 0.49012 0.47993
0.91536 0.91464 0.91391 0.91315 0.91236
52 56 60 65 70 75
1386.2 1529.1 1682.8 1891.0 2118.2 2365.8
0.0009150 0.0009317 0.0009498 0.0009750 0.0010037 0.0010372
0.014265 0.012771 0.011434 0.009950 0.008642 0.007480
125.33 131.49 137.76 145.77 154.01 162.53
130.88 126.28 121.46 115.05 108.14 100.60
256.21 257.77 259.22 260.82 262.15 263.13
126.59 132.91 139.36 147.62 156.13 164.98
149.39 144.38 139.10 132.02 124.32 115.85
275.98 277.30 278.46 279.64 280.46 280.82
0.45126 0.47018 0.48920 0.51320 0.53755 0.56241
0.45941 0.43863 0.41749 0.39039 0.36227 0.33272
0.91067 0.90880 0.90669 0.90359 0.89982 0.89512
80 85 90 95 100
2635.3 2928.2 3246.9 3594.1 3975.1
0.0010772 0.0011270 0.0011932 0.0012933 0.0015269
0.006436 0.005486 0.004599 0.003726 0.002630
171.40 180.77 190.89 202.40 218.72
92.23 82.67 71.29 56.47 29.19
263.63 263.44 262.18 258.87 247.91
174.24 184.07 194.76 207.05 224.79
106.35 95.44 82.35 65.21 33.58
280.59 279.51 277.11 272.26 258.37
0.58800 0.61473 0.64336 0.67578 0.72217
0.30111 0.26644 0.22674 0.17711 0.08999
0.88912 0.88117 0.87010 0.85289 0.81215
Fuente: Las tablas A-11 a A-13 se generaron utilizando el programa para resolver ecuaciones de ingeniería (EES) desarrollado por S. A. Klein y F. L. Alvarado. La rutina utilizada en los cálculos es la R134a, la cual está basada en la ecuación fundamental de estado desarrollada por R. Tillner-Roth y H. D. Baehr, “An Internacional Standard Formulation for the Thermodynamic Properties de 1,1,1,2-Tetrafluoretano (HFC-134a) for temperatures from 170 K to 455 K and pressures up to 70 MPa”, J. Phys. Chem, Ref. Data, vol. 23, núm. 5, 1994. Los valores de entalpía y entropía para el líquido saturado son cero a –40°C (y –40°F).
18Appendix_01 ITALICAS.qxd 927
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928
TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-12 Refrigerante 134a saturado. Tabla de presión Volumen específico, m3/kg Pres., P kPa
Temp. sat., Tsat °C
Líq. sat., vf
Energía interna, kJ/kg
Vapor sat., vg
Líq. sat., uf
Vapor Evap., sat., ufg ug
Entalpía, kJ/kg Líq. sat., hf
Entropía, kJ/kg · K
Vapor Evap., sat., hfg hg
Líq. sat., sf
Evap., sfg
Vapor sat., sg
60 70 80 90 100
36.95 33.87 31.13 28.65 26.37
0.0007098 0.0007144 0.0007185 0.0007223 0.0007259
0.31121 0.26929 0.23753 0.21263 0.19254
3.798 7.680 11.15 14.31 17.21
205.32 203.20 201.30 199.57 197.98
209.12 210.88 212.46 213.88 215.19
3.841 7.730 11.21 14.37 17.28
223.95 222.00 220.25 218.65 217.16
227.79 229.73 231.46 233.02 234.44
0.01634 0.03267 0.04711 0.06008 0.07188
0.94807 0.92775 0.90999 0.89419 0.87995
0.96441 0.96042 0.95710 0.95427 0.95183
120 140 160 180 200
22.32 18.77 15.60 12.73 10.09
0.0007324 0.0007383 0.0007437 0.0007487 0.0007533
0.16212 0.14014 0.12348 0.11041 0.099867
22.40 26.98 31.09 34.83 38.28
195.11 192.57 190.27 188.16 186.21
217.51 219.54 221.35 222.99 224.48
22.49 27.08 31.21 34.97 38.43
214.48 212.08 209.90 207.90 206.03
236.97 239.16 241.11 242.86 244.46
0.09275 0.11087 0.12693 0.14139 0.15457
0.85503 0.83368 0.81496 0.79826 0.78316
0.94779 0.94456 0.94190 0.93965 0.93773
240 280 320 360 400
5.38 1.25 2.46 5.82 8.91
0.0007620 0.0007699 0.0007772 0.0007841 0.0007907
0.083897 0.072352 0.063604 0.056738 0.051201
44.48 49.97 54.92 59.44 63.62
182.67 179.50 176.61 173.94 171.45
227.14 229.46 231.52 233.38 235.07
44.66 50.18 55.16 59.72 63.94
202.62 199.54 196.71 194.08 191.62
247.28 249.72 251.88 253.81 255.55
0.17794 0.19829 0.21637 0.23270 0.24761
0.75664 0.73381 0.71369 0.69566 0.67929
0.93458 0.93210 0.93006 0.92836 0.92691
450 500 550 600 650
12.46 15.71 18.73 21.55 24.20
0.0007985 0.0008059 0.0008130 0.0008199 0.0008266
0.045619 0.041118 0.037408 0.034295 0.031646
68.45 72.93 77.10 81.02 84.72
168.54 165.82 163.25 160.81 158.48
237.00 238.75 240.35 241.83 243.20
68.81 73.33 77.54 81.51 85.26
188.71 185.98 183.38 180.90 178.51
257.53 259.30 260.92 262.40 263.77
0.26465 0.28023 0.29461 0.30799 0.32051
0.66069 0.64377 0.62821 0.61378 0.60030
0.92535 0.92400 0.92282 0.92177 0.92081
700 750 800 850
26.69 29.06 31.31 33.45
0.0008331 0.0008395 0.0008458 0.0008520
0.029361 0.027371 0.025621 0.024069
88.24 91.59 94.79 97.87
156.24 154.08 152.00 149.98
244.48 245.67 246.79 247.85
88.82 92.22 95.47 98.60
176.21 173.98 171.82 169.71
265.03 266.20 267.29 268.31
0.33230 0.34345 0.35404 0.36413
0.58763 0.57567 0.56431 0.55349
0.91994 0.91912 0.91835 0.91762
900 950 1000 1200 1400
35.51 37.48 39.37 46.29 52.40
0.0008580 0.0008641 0.0008700 0.0008934 0.0009166
0.022683 0.021438 0.020313 0.016715 0.014107
100.83 103.69 106.45 116.70 125.94
148.01 146.10 144.23 137.11 130.43
248.85 249.79 250.68 253.81 256.37
101.61 104.51 107.32 117.77 127.22
167.66 165.64 163.67 156.10 148.90
269.26 270.15 270.99 273.87 276.12
0.37377 0.38301 0.39189 0.42441 0.45315
0.54315 0.53323 0.52368 0.48863 0.45734
0.91692 0.91624 0.91558 0.91303 0.91050
1600 1800 2000 2500 3000
57.88 62.87 67.45 77.54 86.16
0.0009400 0.0009639 0.0009886 0.0010566 0.0011406
0.012123 0.010559 0.009288 0.006936 0.005275
134.43 142.33 149.78 166.99 183.04
124.04 117.83 111.73 96.47 80.22
258.47 260.17 261.51 263.45 263.26
135.93 144.07 151.76 169.63 186.46
141.93 135.11 128.33 111.16 92.63
277.86 279.17 280.09 280.79 279.09
0.47911 0.50294 0.52509 0.57531 0.62118
0.42873 0.40204 0.37675 0.31695 0.25776
0.90784 0.90498 0.90184 0.89226 0.87894
18Appendix_01 ITALICAS.qxd 928
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929
APÉNDICE 1
TABLA A-13 Refrigerante 134a sobrecalentado T °C
v m3/kg
Sat. 20 10 0 10 20 30 40 50 60 70 80 90 100
0.31121 0.33608 0.35048 0.36476 0.37893 0.39302 0.40705 0.42102 0.43495 0.44883 0.46269 0.47651 0.49032 0.50410
Sat. 10 0 10 20 30 40 50 60 70 80 90 100
0.11041 0.11189 0.11722 0.12240 0.12748 0.13248 0.13741 0.14230 0.14715 0.15196 0.15673 0.16149 0.16622
Sat. 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140
0.07235 0.07282 0.07646 0.07997 0.08338 0.08672 0.09000 0.09324 0.09644 0.09961 0.10275 0.10587 0.10897 0.11205 0.11512 0.11818
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.06 MPa (Tsat 36.95 °C) 209.12 220.60 227.55 234.66 241.92 249.35 256.95 264.71 272.64 280.73 288.99 297.41 306.00 314.74
227.79 240.76 248.58 256.54 264.66 272.94 281.37 289.97 298.74 307.66 316.75 326.00 335.42 344.99
0.9644 1.0174 1.0477 1.0774 1.1066 1.1353 1.1636 1.1915 1.2191 1.2463 1.2732 1.2997 1.3260 1.3520
P 0.18 MPa (Tsat 12.73 °C) 222.99 225.02 232.48 240.00 247.64 255.41 263.31 271.36 279.56 287.91 296.42 305.07 313.88
242.86 245.16 253.58 262.04 270.59 279.25 288.05 296.98 306.05 315.27 324.63 334.14 343.80
0.9397 0.9484 0.9798 1.0102 1.0399 1.0690 1.0975 1.1256 1.1532 1.1805 1.2074 1.2339 1.2602
P 0.28 MPa (Tsat 1.25 °C)
18Appendix_01 ITALICAS.qxd 929
229.46 230.44 238.27 246.13 254.06 262.10 270.27 278.56 286.99 295.57 304.29 313.15 322.16 331.32 340.63 350.09
249.72 250.83 259.68 268.52 277.41 286.38 295.47 304.67 314.00 323.46 333.06 342.80 352.68 362.70 372.87 383.18
0.9321 0.9362 0.9680 0.9987 1.0285 1.0576 1.0862 1.1142 1.1418 1.1690 1.1958 1.2222 1.2483 1.2742 1.2997 1.3250
v m3/kg
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.10 MPa (Tsat 26.37 °C) 0.19254 0.19841 0.20743 0.21630 0.22506 0.23373 0.24233 0.25088 0.25937 0.26783 0.27626 0.28465 0.29303 0.30138
215.19 219.66 226.75 233.95 241.30 248.79 256.44 264.25 272.22 280.35 288.64 297.08 305.69 314.46
234.44 239.50 247.49 255.58 263.81 272.17 280.68 289.34 298.16 307.13 316.26 325.55 334.99 344.60
0.9518 0.9721 1.0030 1.0332 1.0628 1.0918 1.1203 1.1484 1.1762 1.2035 1.2305 1.2572 1.2836 1.3096
P 0.20 MPa (Tsat 10.09 °C) 0.09987 0.09991 0.10481 0.10955 0.11418 0.11874 0.12322 0.12766 0.13206 0.13641 0.14074 0.14504 0.14933
224.48 224.55 232.09 239.67 247.35 255.14 263.08 271.15 279.37 287.73 296.25 304.92 313.74
244.46 244.54 253.05 261.58 270.18 278.89 287.72 296.68 305.78 315.01 324.40 333.93 343.60
0.9377 0.9380 0.9698 1.0004 1.0303 1.0595 1.0882 1.1163 1.1441 1.1714 1.1983 1.2249 1.2512
P 0.32 MPa (Tsat 2.46 °C)
v m3/kg
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.14 MPa (Tsat 18.77 °C) 0.14014
219.54
239.16
0.9446
0.14605 0.15263 0.15908 0.16544 0.17172 0.17794 0.18412 0.19025 0.19635 0.20242 0.20847 0.21449
225.91 233.23 240.66 248.22 255.93 263.79 271.79 279.96 288.28 296.75 305.38 314.17
246.36 254.60 262.93 271.38 279.97 288.70 297.57 306.59 315.77 325.09 334.57 344.20
0.9724 1.0031 1.0331 1.0624 1.0912 1.1195 1.1474 1.1749 1.2020 1.2288 1.2553 1.2814
P 0.24 MPa (Tsat 5.38 °C) 0.08390
227.14
247.28
0.9346
0.08617 0.09026 0.09423 0.09812 0.10193 0.10570 0.10942 0.11310 0.11675 0.12038 0.12398
231.29 238.98 246.74 254.61 262.59 270.71 278.97 287.36 295.91 304.60 313.44
251.97 260.65 269.36 278.16 287.06 296.08 305.23 314.51 323.93 333.49 343.20
0.9519 0.9831 1.0134 1.0429 1.0718 1.1001 1.1280 1.1554 1.1825 1.2092 1.2356
P 0.40 MPa (Tsat 8.91 °C)
0.06360
231.52
251.88
0.9301
0.051201
235.07
255.55 0.9269
0.06609 0.06925 0.07231 0.07530 0.07823 0.08111 0.08395 0.08675 0.08953 0.09229 0.09503 0.09775 0.10045 0.10314
237.54 245.50 253.50 261.60 269.82 278.15 286.62 295.22 303.97 312.86 321.89 331.07 340.39 349.86
258.69 267.66 276.65 285.70 294.85 304.11 313.48 322.98 332.62 342.39 352.30 362.35 372.54 382.87
0.9544 0.9856 1.0157 1.0451 1.0739 1.1021 1.1298 1.1571 1.1840 1.2105 1.2367 1.2626 1.2882 1.3135
0.051506 0.054213 0.056796 0.059292 0.061724 0.064104 0.066443 0.068747 0.071023 0.073274 0.075504 0.077717 0.079913 0.082096
235.97 244.18 252.36 260.58 268.90 277.32 285.86 294.53 303.32 312.26 321.33 330.55 339.90 349.41
256.58 265.86 275.07 284.30 293.59 302.96 312.44 322.02 331.73 341.57 351.53 361.63 371.87 382.24
0.9305 0.9628 0.9937 1.0236 1.0528 1.0814 1.1094 1.1369 1.1640 1.1907 1.2171 1.2431 1.2688 1.2942
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TABLAS DE PROPIEDADES, FIGURAS Y DIAGRAMAS (UNIDADES SI)
TABLA A-13 Refrigerante 134a sobrecalentado (conclusión) T °C
v m3/kg
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.50 MPa (Tsat 15.71 °C) Sat. 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160
0.041118 0.042115 0.044338 0.046456 0.048499 0.050485 0.052427 0.054331 0.056205 0.058053 0.059880 0.061687 0.063479 0.065256 0.067021 0.068775
238.75 242.40 250.84 259.26 267.72 276.25 284.89 293.64 302.51 311.50 320.63 329.89 339.29 348.83 358.51 368.33
259.30 263.46 273.01 282.48 291.96 301.50 311.10 320.80 330.61 340.53 350.57 360.73 371.03 381.46 392.02 402.72
0.9240 0.9383 0.9703 1.0011 1.0309 1.0599 1.0883 1.1162 1.1436 1.1705 1.1971 1.2233 1.2491 1.2747 1.2999 1.3249
P 0.80 MPa (Tsat 31.31 °C) Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180
0.025621 0.027035 0.028547 0.029973 0.031340 0.032659 0.033941 0.035193 0.036420 0.037625 0.038813 0.039985 0.041143 0.042290 0.043427 0.044554
246.79 254.82 263.86 272.83 281.81 290.84 299.95 309.15 318.45 327.87 337.40 347.06 356.85 366.76 376.81 386.99
267.29 276.45 286.69 296.81 306.88 316.97 327.10 337.30 347.59 357.97 368.45 379.05 389.76 400.59 411.55 422.64
0.9183 0.9480 0.9802 1.0110 1.0408 1.0698 1.0981 1.1258 1.1530 1.1798 1.2061 1.2321 1.2577 1.2830 1.3080 1.3327
P 1.20 MPa (Tsat 46.29 °C) Sat. 50 60 70 80 90 100 110 120 130 140 150 160 170 180
0.016715 0.017201 0.018404 0.019502 0.020529 0.021506 0.022442 0.023348 0.024228 0.025086 0.025927 0.026753 0.027566 0.028367 0.029158
18Appendix_01 ITALICAS.qxd 930
253.81 257.63 267.56 277.21 286.75 296.26 305.80 315.38 325.03 334.77 344.61 354.56 364.61 374.78 385.08
273.87 278.27 289.64 300.61 311.39 322.07 332.73 343.40 354.11 364.88 375.72 386.66 397.69 408.82 420.07
0.9130 0.9267 0.9614 0.9938 1.0248 1.0546 1.0836 1.1118 1.1394 1.1664 1.1930 1.2192 1.2449 1.2703 1.2954
v m3/kg
u kJ/kg
h kJ/kg
s kJ/kg K
P 0.60 MPa (Tsat 21.55 °C)
v m3/kg
u kJ/kg
h s kJ/kg kJ/kg K
P 0.70 MPa (Tsat 26.69 °C)
0.034295
241.83
262.40
0.9218
0.029361
244.48
265.03
0.9199
0.035984 0.037865 0.039659 0.041389 0.043069 0.044710 0.046318 0.047900 0.049458 0.050997 0.052519 0.054027 0.055522 0.057006
249.22 257.86 266.48 275.15 283.89 292.73 301.67 310.73 319.91 329.23 338.67 348.25 357.96 367.81
270.81 280.58 290.28 299.98 309.73 319.55 329.46 339.47 349.59 359.82 370.18 380.66 391.27 402.01
0.9499 0.9816 1.0121 1.0417 1.0705 1.0987 1.1264 1.1536 1.1803 1.2067 1.2327 1.2584 1.2838 1.3088
0.029966 0.031696 0.033322 0.034875 0.036373 0.037829 0.039250 0.040642 0.042010 0.043358 0.044688 0.046004 0.047306 0.048597
247.48 256.39 265.20 274.01 282.87 291.80 300.82 309.95 319.19 328.55 338.04 347.66 357.41 367.29
268.45 278.57 288.53 298.42 308.33 318.28 328.29 338.40 348.60 358.90 369.32 379.86 390.52 401.31
0.9313 0.9641 0.9954 1.0256 1.0549 1.0835 1.1114 1.1389 1.1658 1.1924 1.2186 1.2444 1.2699 1.2951
P 0.90 MPa (Tsat 35.51 °C) 0.022683 0.023375 0.024809 0.026146 0.027413 0.028630 0.029806 0.030951 0.032068 0.033164 0.034241 0.035302 0.036349 0.037384 0.038408 0.039423
248.85 253.13 262.44 271.60 280.72 289.86 299.06 308.34 317.70 327.18 336.76 346.46 356.28 366.23 376.31 386.52
269.26 274.17 284.77 295.13 305.39 315.63 325.89 336.19 346.56 357.02 367.58 378.23 389.00 399.88 410.88 422.00
0.9169 0.9327 0.9660 0.9976 1.0280 1.0574 1.0860 1.1140 1.1414 1.1684 1.1949 1.2210 1.2467 1.2721 1.2972 1.3221
P 1.40 MPa (Tsat 52.40 °C)
P 1.00 MPa (Tsat 39.37 °C) 0.020313 0.020406 0.021796 0.023068 0.024261 0.025398 0.026492 0.027552 0.028584 0.029592 0.030581 0.031554 0.032512 0.033457 0.034392 0.035317
250.68 251.30 260.94 270.32 279.59 288.86 298.15 307.51 316.94 326.47 336.11 345.85 355.71 365.70 375.81 386.04
270.99 271.71 282.74 293.38 303.85 314.25 324.64 335.06 345.53 356.06 366.69 377.40 388.22 399.15 410.20 421.36
0.9156 0.9179 0.9525 0.9850 1.0160 1.0458 1.0748 1.1031 1.1308 1.1580 1.1846 1.2109 1.2368 1.2623 1.2875 1.3124
P 1.60 MPa (Tsat 57.88 °C)
0.014107
256.37
276.12
0.9105
0.012123
258.47
277.86
0.9078
0.015005 0.016060 0.017023 0.017923 0.018778 0.019597 0.020388 0.021155 0.021904 0.022636 0.023355 0.024061 0.024757
264.46 274.62 284.51 294.28 304.01 313.76 323.55 333.41 343.34 353.37 363.51 373.75 384.10
285.47 297.10 308.34 319.37 330.30 341.19 352.09 363.02 374.01 385.07 396.20 407.43 418.76
0.9389 0.9733 1.0056 1.0364 1.0661 1.0949 1.1230 1.1504 1.1773 1.2038 1.2298 1.2554 1.2807
0.012372 0.013430 0.014362 0.015215 0.016014 0.016773 0.017500 0.018201 0.018882 0.019545 0.020194 0.020830 0.021456
260.89 271.76 282.09 292.17 302.14 312.07 322.02 332.00 342.05 352.17 362.38 372.69 383.11
280.69 293.25 305.07 316.52 327.76 338.91 350.02 361.12 372.26 383.44 394.69 406.02 417.44
0.9163 0.9535 0.9875 1.0194 1.0500 1.0795 1.1081 1.1360 1.1632 1.1900 1.2163 1.2421 1.2676
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APÉNDICE 1
TABLA A-16 Propiedades de la atmósfera a gran altitud Altitud, m
Temperatura, °C
Presión, kPa
Gravedad g, m/s2
Velocidad del sonido, m/s
Densidad, kg/m3
Viscosidad m, kg/m · s
Conductividad térmica, W/m · K
0 200 400 600 800
15.00 13.70 12.40 11.10 9.80
101.33 98.95 96.61 94.32 92.08
9.807 9.806 9.805 9.805 9.804
340.3 339.5 338.8 338.0 337.2
1.225 1.202 1.179 1.156 1.134
1.789 1.783 1.777 1.771 1.764
105 105 105 105 105
0.0253 0.0252 0.0252 0.0251 0.0250
1000 1200 1400 1600 1800
8.50 7.20 5.90 4.60 3.30
89.88 87.72 85.60 83.53 81.49
9.804 9.803 9.802 9.802 9.801
336.4 335.7 334.9 334.1 333.3
1.112 1.090 1.069 1.048 1.027
1.758 1.752 1.745 1.739 1.732
105 105 105 105 105
0.0249 0.0248 0.0247 0.0245 0.0244
2000 2200 2400 2600 2800
2.00 0.70 0.59 1.89 3.19
79.50 77.55 75.63 73.76 71.92
9.800 9.800 9.799 9.799 9.798
332.5 331.7 331.0 330.2 329.4
1.007 0.987 0.967 0.947 0.928
1.726 1.720 1.713 1.707 1.700
105 105 105 105 105
0.0243 0.0242 0.0241 0.0240 0.0239
3000 3200 3400 3600 3800
4.49 5.79 7.09 8.39 9.69
70.12 68.36 66.63 64.94 63.28
9.797 9.797 9.796 9.796 9.795
328.6 327.8 327.0 326.2 325.4
0.909 0.891 0.872 0.854 0.837
1.694 1.687 1.681 1.674 1.668
105 105 105 105 105
0.0238 0.0237 0.0236 0.0235 0.0234
4000 4200 4400 4600 4800
10.98 12.3 13.6 14.9 16.2
61.66 60.07 58.52 57.00 55.51
9.794 9.794 9.793 9.793 9.792
324.6 323.8 323.0 322.2 321.4
0.819 0.802 0.785 0.769 0.752
1.661 1.655 1.648 1.642 1.635
105 105 105 105 105
0.0233 0.0232 0.0231 0.0230 0.0229
5000 5200 5400 5600 5800
17.5 18.8 20.1 21.4 22.7
54.05 52.62 51.23 49.86 48.52
9.791 9.791 9.790 9.789 9.785
320.5 319.7 318.9 318.1 317.3
0.736 0.721 0.705 0.690 0.675
1.628 1.622 1.615 1.608 1.602
105 105 105 105 105
0.0228 0.0227 0.0226 0.0224 0.0223
6000 6200 6400 6600 6800
24.0 25.3 26.6 27.9 29.2
47.22 45.94 44.69 43.47 42.27
9.788 9.788 9.787 9.786 9.785
316.5 315.6 314.8 314.0 313.1
0.660 0.646 0.631 0.617 0.604
1.595 1.588 1.582 1.575 1.568
105 105 105 105 105
0.0222 0.0221 0.0220 0.0219 0.0218
7000 8000 9000
30.5 36.9 43.4
41.11 35.65 30.80
9.785 9.782 9.779
312.3 308.1 303.8
0.590 0.526 0.467
1.561 105 1.527 105 1.493 105
0.0217 0.0212 0.0206
10,000 12,000 14,000 16,000 18,000
49.9 56.5 56.5 56.5 56.5
26.50 19.40 14.17 10.53 7.57
9.776 9.770 9.764 9.758 9.751
299.5 295.1 295.1 295.1 295.1
0.414 0.312 0.228 0.166 0.122
1.458 1.422 1.422 1.422 1.422
105 105 105 105 105
0.0201 0.0195 0.0195 0.0195 0.0195
Fuente: U.S. Standard Atmosphere Supplements. Oficina de Impresiones del Gobierno de Estados Unidos, 1966. Basadas en las condiciones medias anuales a una latitud de 45° y una variación de acuerdo con la época del año y con los patrones del clima. Las condiciones al nivel del mar (z = 0) se consideran como P = 101.325 kPa, T = 15°C, r = 1.2250 kg/m3, g = 9.80665 m2/s .
18Appendix_01 ITALICAS.qxd 933
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