23-R4232-APP1 6/8/07 5:09 PM Page 994 994 | Fundamentals of Thermal-Fluid Sciences TABLE A–4 Saturated water—Temperature table Specific volume, m3/kg Temp., T °C Sat. press., Psat kPa 0.01 5 10 15 20 25 30 35 40 45 Internal energy, kJ/kg Enthalpy, kJ/kg Entropy, kJ/kg · K Sat. liquid, vf Sat. vapor, vg Sat. liquid, uf Evap., ufg Sat. vapor, ug Sat. liquid, hf Evap., hfg Sat. vapor, hg Sat. Sat. liquid, Evap., vapor, sf sfg sg 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 0.001 21.020 42.022 62.982 83.915 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 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 2436.1 104.83 125.74 146.64 167.53 188.44 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 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 (Continued) 23-R4232-APP1 6/8/07 5:09 PM Page 995 Appendix 1 | 995 TABLE A–4 Saturated water—Temperature table (Continued) Specific volume, m3/kg Temp., T °C Sat. press., Psat kPa 205 210 215 220 225 Internal energy, kJ/kg Sat. liquid, vf Sat. vapor, vg Sat. liquid, uf Evap., ufg Sat. vapor, ug 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 2602.3 230 235 240 245 250 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 1521.1 255 260 265 270 275 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 1202.9 280 285 290 295 300 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 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 330 335 340 345 350 12,858 13,707 14,601 15,541 16,529 355 360 365 370 373.95 17,570 18,666 19,822 21,044 22,064 Enthalpy, kJ/kg Sat. liquid, hf Entropy, kJ/kg · K Evap., hfg Sat. vapor, hg Sat. Sat. liquid, Evap., vapor, sf sfg sg 874.87 897.61 920.50 943.55 966.76 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 2602.9 2603.2 2603.1 2602.7 2601.8 990.14 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 1495.8 1469.9 1443.2 1415.7 1387.4 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 1228.2 1253.7 1279.7 1306.0 1332.7 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 0.019932 0.018333 0.016849 0.015470 0.014183 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 0.001560 0.001597 0.001638 0.001685 0.001741 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 0.001808 0.001895 0.002015 0.002217 0.003106 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 Source: Tables A–4 through A–8 are generated using the Engineering Equation Solver (EES) software developed by S. A. Klein and F. L. Alvarado. The routine used in calculations is the highly accurate Steam_IAPWS, which incorporates the 1995 Formulation for the Thermodynamic Properties of Ordinary Water Substance for General and Scientific Use, issued by The International Association for the Properties of Water and Steam (IAPWS). This formulation replaces the 1984 formulation of Haar, Gallagher, and Kell (NBS/NRC Steam Tables, Hemisphere Publishing Co., 1984), which is also available in EES as the routine STEAM. The new formulation is based on the correlations of Saul and Wagner (J. Phys. Chem. Ref. Data, 16, 893, 1987) with modifications to adjust to the International Temperature Scale of 1990. The modifications are described by Wagner and Pruss (J. Phys. Chem. Ref. Data, 22, 783, 1993). The properties of ice are based on Hyland and Wexler, “Formulations for the Thermodynamic Properties of the Saturated Phases of H2O from 173.15 K to 473.15 K,” ASHRAE Trans., Part 2A, Paper 2793, 1983. 23-R4232-APP1 6/8/07 5:09 PM Page 996 996 | Fundamentals of Thermal-Fluid Sciences TABLE A–5 Saturated water—Pressure table Specific volume, m3/kg Press., P kPa Sat. temp., Tsat °C Sat. liquid, vf Sat. vapor, vg Internal energy, kJ/kg Enthalpy, kJ/kg Entropy, kJ/kg · K Sat. liquid, uf Evap., ufg Sat. vapor, ug Sat. liquid, hf Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, 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 34.791 28.185 19.233 14.670 10.020 (Continued) 23-R4232-APP1 6/8/07 5:09 PM Page 997 Appendix 1 | 997 TABLE A–5 Saturated water—Pressure table (Continued) Specific volume, m3/kg Press., P kPa Sat. temp., Tsat °C Sat. liquid, vf Sat. vapor, vg 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 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 1750 2000 2250 2500 3000 205.72 212.38 218.41 223.95 233.85 3500 4000 5000 6000 7000 Internal energy, kJ/kg Sat. liquid, uf Enthalpy, kJ/kg Entropy, kJ/kg · K Evap., ufg Sat. vapor, ug Sat. liquid, hf Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 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 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 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 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 23-R4232-APP1 6/8/07 5:09 PM Page 998 998 | Fundamentals of Thermal-Fluid Sciences TABLE A–6 Superheated water T °C v m3/kg u kJ/kg 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 h kJ/kg s kJ/kg K P 0.01 MPa (45.81°C)* 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 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) 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 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 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) 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 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 Properties of saturated vapor at the specified pressure. v m3/kg u kJ/kg h kJ/kg s kJ/kg K P 0.10 MPa (99.61°C) 3.2403 *The temperature in parentheses is the saturation temperature at the specified pressure. † s kJ/kg K 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 23-R4232-APP1 6/8/07 5:09 PM Page 999 Appendix 1 | 999 u kJ/kg s kJ/kg K TABLE A–6 Superheated water (Continued) T °C v m3/kg u kJ/kg 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 h kJ/kg s v kJ/kg K m3/kg P 1.00 MPa (179.88C) 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 (201.37C) 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 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 (223.95C) 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 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 (187.96C) 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 (207.11C) 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 (233.85C) v m3/kg h kJ/kg P 1.40 MPa (195.04C) 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 (212.38C) 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 (242.56C) 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 23-R4232-APP1 6/8/07 5:09 PM Page 1000 1000 | Fundamentals of Thermal-Fluid Sciences TABLE A–6 Superheated water (Continued) 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 (250.35C) 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 (275.59C) 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 (303.35C) 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 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 (257.44C) 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 (285.83C) 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 (311.00C) 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 (263.94C) 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 (295.01C) 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 (327.81C) 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 23-R4232-APP1 6/8/07 5:09 PM Page 1002 1002 | Fundamentals of Thermal-Fluid Sciences TABLE A–7 Compressed liquid water T °C v m3/kg u kJ/kg h kJ/kg 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 s v kJ/kg K m3/kg P 5 MPa (263.94C) 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 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 (311.00C) 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 (365.75C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 h kJ/kg 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 u kJ/kg 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 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 (342.16C) 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 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 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 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 1 h = 40 0k 0 0 % 60 0 3 0 60 4 00 328200 50% 5 20 00 3200 3400 4000 3800 3600 4500 6 h = 4200 kJ/ kg 00 22 00 Sa tu ra 6 00 or 24 va p % 70 te d 0 10 80 0 6 0 80 0 60 0 50 0 40 0 35 00 3 0 25 0 20 0 15 5 Entropy, kJ/kg · K 18 0 J/ k g 20 0 h= 26 7 k J/k 80% 00 7 Qu g 10 kg /m 3 a lit y= 8 1 kg/m 3 9 0.3 kg/m 3 90 % 8 9 2650 h = 2600 2650 kJ/kg 2550 2800 2900 3000 3100 3200 3300 3400 3500 3600 3700 3800 3900 4000 4100 4200 4300 4400 4500 4600 4700 4800 4900 5000 h = 5000 kJ/kg kg/m 3 1100 0 10 100 200 300 400 500 600 700 800 900 1000 10 1200 Copyright © 1984. From NBS/NRC Steam Tables/1 by Lester Haar, John S. Gallagher, and George S. Kell. Reproduced by permission of Routledge/Taylor & Francis Books, Inc. 2 20 % 10 80 0 = ty ali Qu Sa id iqu dl e t a tur 0 140 1 00 0 0 100 0 120 1600 1800 kg/m 3 3000 2600 2400 kJ/ 2200 kg h= 0 0 0 2 00 100 200 300 400 500 600 700 4 550 0 1 800 1 20 60% FIGURE A–9 T-s diagram for water. Temperature, °C Den sity = 50 00 0 900 3 300 k g/m 3 1000 2 14 30 % 100 k g/m 3 40 30 30 kg /m 3 20 15 10 P= 300 20 00 b 15 000 ar 100 000 80000 0 50 4 00 6000 30000 0 20 0 15 00 00 1 40% 3 kg/m 3 8 6 4 3 2 1.5 1.0 1100 1 ens ity 8 0.0 0 0.1 3k g/m 3 D 0.0 0.8 0.6 0.4 0.3 0.2 0.1 0.0 5 0.08 0. 1 6 0. 0 0.04 3 0.0 0.02 15 | =0 .01 kg/m 3 1004 0. 0 006 0. .004 0 0. 03 00 2 0 1200 23-R4232-APP1 6/8/07 5:09 PM Page 1004 Fundamentals of Thermal-Fluid Sciences 23-R4232-APP1 6/8/07 5:09 PM Page 1006 1006 | Fundamentals of Thermal-Fluid Sciences TABLE A–11 Saturated refrigerant-134a—Temperature table Specific volume, m3/kg Internal energy, kJ/kg Enthalpy, kJ/kg Sat. Sat. Temp., press., liquid, T °C Psat kPa vf Sat. vapor, vg Sat. liquid, uf Evap., ufg Sat. vapor, ug Sat. liquid, Evap., hf hfg 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 10.05 207.40 206.04 204.67 203.29 201.91 207.37 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 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 22.82 200.52 199.12 197.72 196.30 194.88 213.11 214.25 215.40 216.55 217.70 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 25.39 27.98 30.57 33.17 35.78 193.45 192.01 190.56 189.09 187.62 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 0.099516 0.092352 0.085802 0.079804 0.074304 38.40 41.03 43.66 46.31 48.96 0 2 4 6 8 293.01 314.84 337.90 362.23 387.88 0.0007723 0.0007763 0.0007804 0.0007845 0.0007887 0.069255 0.064612 0.060338 0.056398 0.052762 10 12 14 16 18 414.89 443.31 473.19 504.58 537.52 0.0007930 0.0007975 0.0008020 0.0008066 0.0008113 0.049403 0.046295 0.043417 0.040748 0.038271 Entropy, kJ/kg · K Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 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 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 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 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 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 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 (Continued) 23-R4232-APP1 6/8/07 5:09 PM Page 1007 Appendix 1 | 1007 TABLE A–11 Saturated refrigerant-134a—Temperature table (Continued) Specific volume, m3/kg Sat. Sat. Temp., press., liquid, T °C Psat kPa vf Internal energy, kJ/kg Enthalpy, kJ/kg Entropy, kJ/kg · K Sat. vapor, vg Sat. Sat. liquid, Evap., vapor, uf ufg ug Sat. liquid, Evap., hf hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, 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 Source: Tables A–11 through A–13 are generated using the Engineering Equation Solver (EES) software developed by S. A. Klein and F. L. Alvarado. The routine used in calculations is the R134a, which is based on the fundamental equation of state developed by R. Tillner-Roth and H.D. Baehr, “An International Standard Formulation for the Thermodynamic Properties of 1,1,1,2-Tetrafluoroethane (HFC-134a) for temperatures from 170 K to 455 K and Pressures up to 70 MPa,” J. Phys. Chem, Ref. Data, Vol. 23, No. 5, 1994. The enthalpy and entropy values of saturated liquid are set to zero at 40°C (and 40°F). 23-R4232-APP1 6/8/07 5:09 PM Page 1008 1008 | Fundamentals of Thermal-Fluid Sciences TABLE A–12 Saturated refrigerant-134a—Pressure table Specific volume, m3/kg Sat. Sat. Press., temp., liquid, P kPa Tsat °C vf Internal energy, kJ/kg Sat. vapor, vg Sat. Sat. liquid, Evap., vapor, uf ufg ug Enthalpy, kJ/kg Sat. liquid, hf Entropy, kJ/kg · K Sat. Evap., vapor, hfg hg Sat. liquid, sf Evap., sfg Sat. vapor, 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 23-R4232-APP1 6/8/07 5:09 PM Page 1009 Appendix 1 | 1009 TABLE A–13 Superheated refrigerant-134a 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) 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 23-R4232-APP1 6/8/07 5:09 PM Page 1010 1010 | Fundamentals of Thermal-Fluid Sciences TABLE A–13 Superheated refrigerant-134a (Continued) 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 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 23-R4232-APP1 6/8/07 5:09 PM Page 1018 1018 | Fundamentals of Thermal-Fluid Sciences TABLE A–21 Ideal-gas properties of air T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K 200 210 220 230 240 199.97 209.97 219.97 230.02 240.02 0.3363 0.3987 0.4690 0.5477 0.6355 142.56 149.69 156.82 164.00 171.13 1707.0 1512.0 1346.0 1205.0 1084.0 1.29559 1.34444 1.39105 1.43557 1.47824 580 590 600 610 620 586.04 596.52 607.02 617.53 628.07 14.38 15.31 16.28 17.30 18.36 419.55 427.15 434.78 442.42 450.09 115.7 110.6 105.8 101.2 96.92 2.37348 2.39140 2.40902 2.42644 2.44356 250 260 270 280 285 250.05 260.09 270.11 280.13 285.14 0.7329 0.8405 0.9590 1.0889 1.1584 178.28 185.45 192.60 199.75 203.33 979.0 887.8 808.0 738.0 706.1 1.51917 1.55848 1.59634 1.63279 1.65055 630 640 650 660 670 638.63 649.22 659.84 670.47 681.14 19.84 20.64 21.86 23.13 24.46 457.78 465.50 473.25 481.01 488.81 92.84 88.99 85.34 81.89 78.61 2.46048 2.47716 2.49364 2.50985 2.52589 290 295 298 300 305 290.16 295.17 298.18 300.19 305.22 1.2311 1.3068 1.3543 1.3860 1.4686 206.91 210.49 212.64 214.07 217.67 676.1 647.9 631.9 621.2 596.0 1.66802 1.68515 1.69528 1.70203 1.71865 680 690 700 710 720 691.82 702.52 713.27 724.04 734.82 25.85 27.29 28.80 30.38 32.02 496.62 504.45 512.33 520.23 528.14 75.50 72.56 69.76 67.07 64.53 2.54175 2.55731 2.57277 2.58810 2.60319 310 315 320 325 330 310.24 315.27 320.29 325.31 330.34 1.5546 1.6442 1.7375 1.8345 1.9352 221.25 224.85 228.42 232.02 235.61 572.3 549.8 528.6 508.4 489.4 1.73498 1.75106 1.76690 1.78249 1.79783 730 740 750 760 780 745.62 756.44 767.29 778.18 800.03 33.72 35.50 37.35 39.27 43.35 536.07 544.02 551.99 560.01 576.12 62.13 59.82 57.63 55.54 51.64 2.61803 2.63280 2.64737 2.66176 2.69013 340 350 360 370 380 340.42 350.49 360.58 370.67 380.77 2.149 2.379 2.626 2.892 3.176 242.82 250.02 257.24 264.46 271.69 454.1 422.2 393.4 367.2 343.4 1.82790 1.85708 1.88543 1.91313 1.94001 800 820 840 860 880 821.95 843.98 866.08 888.27 910.56 47.75 52.59 57.60 63.09 68.98 592.30 608.59 624.95 641.40 657.95 48.08 44.84 41.85 39.12 36.61 2.71787 2.74504 2.77170 2.79783 2.82344 390 400 410 420 430 390.88 400.98 411.12 421.26 431.43 3.481 3.806 4.153 4.522 4.915 278.93 286.16 293.43 300.69 307.99 321.5 301.6 283.3 266.6 251.1 1.96633 1.99194 2.01699 2.04142 2.06533 900 920 940 960 980 932.93 955.38 977.92 1000.55 1023.25 75.29 82.05 89.28 97.00 105.2 674.58 691.28 708.08 725.02 741.98 34.31 32.18 30.22 28.40 26.73 2.84856 2.87324 2.89748 2.92128 2.94468 440 450 460 470 480 441.61 451.80 462.02 472.24 482.49 5.332 5.775 6.245 6.742 7.268 315.30 322.62 329.97 337.32 344.70 236.8 223.6 211.4 200.1 189.5 2.08870 2.11161 2.13407 2.15604 2.17760 1000 1020 1040 1060 1080 1046.04 1068.89 1091.85 1114.86 1137.89 114.0 123.4 133.3 143.9 155.2 758.94 776.10 793.36 810.62 827.88 25.17 23.72 23.29 21.14 19.98 2.96770 2.99034 3.01260 3.03449 3.05608 490 500 510 520 530 492.74 503.02 513.32 523.63 533.98 7.824 8.411 9.031 9.684 10.37 352.08 359.49 366.92 374.36 381.84 179.7 170.6 162.1 154.1 146.7 2.19876 2.21952 2.23993 2.25997 2.27967 1100 1120 1140 1160 1180 1161.07 1184.28 1207.57 1230.92 1254.34 167.1 179.7 193.1 207.2 222.2 845.33 862.79 880.35 897.91 915.57 18.896 17.886 16.946 16.064 15.241 3.07732 3.09825 3.11883 3.13916 3.15916 540 550 560 570 544.35 555.74 565.17 575.59 11.10 11.86 12.66 13.50 389.34 396.86 404.42 411.97 139.7 133.1 127.0 121.2 2.29906 2.31809 2.33685 2.35531 1200 1220 1240 1277.79 1301.31 1324.93 238.0 254.7 272.3 933.33 951.09 968.95 14.470 13.747 13.069 3.17888 3.19834 3.21751 (Continued) 23-R4232-APP1 6/8/07 5:09 PM Page 1019 Appendix 1 | 1019 TABLE A–21 Ideal-gas properties of air (Concluded) T K h kJ/kg Pr u kJ/kg vr s° kJ/kg · K T K h kJ/kg 1260 1280 1348.55 1372.24 290.8 310.4 986.90 1004.76 12.435 3.23638 11.835 3.25510 1600 1757.57 1620 1782.00 1300 1320 1340 1360 1380 1395.97 1419.76 1443.60 1467.49 1491.44 330.9 352.5 375.3 399.1 424.2 1022.82 1040.88 1058.94 1077.10 1095.26 11.275 10.747 10.247 9.780 9.337 3.27345 3.29160 3.30959 3.32724 3.34474 1640 1660 1680 1700 1750 1806.46 878.9 1830.96 925.6 1855.50 974.2 1880.1 1025 1941.6 1161 1335.72 1354.48 1373.24 1392.7 1439.8 5.355 5.147 4.949 4.761 4.328 3.55381 3.56867 3.58335 3.5979 3.6336 1400 1420 1440 1460 1480 1515.42 1539.44 1563.51 1587.63 1611.79 450.5 478.0 506.9 537.1 568.8 1113.52 1131.77 1150.13 1168.49 1186.95 8.919 8.526 8.153 7.801 7.468 3.36200 3.37901 3.39586 3.41247 3.42892 1800 1850 1900 1950 2000 2003.3 2065.3 2127.4 2189.7 2252.1 1310 1475 1655 1852 2068 1487.2 1534.9 1582.6 1630.6 1678.7 3.994 3.601 3.295 3.022 2.776 3.6684 3.7023 3.7354 3.7677 3.7994 1500 1520 1540 1560 1580 1635.97 1660.23 1684.51 1708.82 1733.17 601.9 636.5 672.8 710.5 750.0 1205.41 1223.87 1242.43 1260.99 1279.65 7.152 6.854 6.569 6.301 6.046 3.44516 3.46120 3.47712 3.49276 3.50829 2050 2100 2150 2200 2250 2314.6 2377.7 2440.3 2503.2 2566.4 2303 2559 2837 3138 3464 1726.8 1775.3 1823.8 1872.4 1921.3 2.555 2.356 2.175 2.012 1.864 3.8303 3.8605 3.8901 3.9191 3.9474 Pr u kJ/kg vr 791.2 1298.30 5.804 834.1 1316.96 5.574 s° kJ/kg · K 3.52364 3.53879 Note: The properties Pr (relative pressure) and vr (relative specific volume) are dimensionless quantities used in the analysis of isentropic processes, and should not be confused with the properties pressure and specific volume. Source: Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), pp. 785–86, table A–5. Originally published in J. H. Keenan and J. Kaye, Gas Tables (New York: John Wiley & Sons, 1948). 23-R4232-APP1 6/8/07 5:09 PM Page 1020 1020 | Fundamentals of Thermal-Fluid Sciences TABLE A–22 Properties of air at 1 atm pressure Temp. T, C Density r, kg /m3 Specific Heat cp, J/kg · K Thermal Conductivity k, W/m · K 150 100 50 40 30 20 10 0 5 10 15 20 25 30 35 40 45 50 60 70 80 90 100 120 140 160 180 200 250 300 350 400 450 500 600 700 800 900 1000 1500 2000 2.866 2.038 1.582 1.514 1.451 1.394 1.341 1.292 1.269 1.246 1.225 1.204 1.184 1.164 1.145 1.127 1.109 1.092 1.059 1.028 0.9994 0.9718 0.9458 0.8977 0.8542 0.8148 0.7788 0.7459 0.6746 0.6158 0.5664 0.5243 0.4880 0.4565 0.4042 0.3627 0.3289 0.3008 0.2772 0.1990 0.1553 983 966 999 1002 1004 1005 1006 1006 1006 1006 1007 1007 1007 1007 1007 1007 1007 1007 1007 1007 1008 1008 1009 1011 1013 1016 1019 1023 1033 1044 1056 1069 1081 1093 1115 1135 1153 1169 1184 1234 1264 0.01171 0.01582 0.01979 0.02057 0.02134 0.02211 0.02288 0.02364 0.02401 0.02439 0.02476 0.02514 0.02551 0.02588 0.02625 0.02662 0.02699 0.02735 0.02808 0.02881 0.02953 0.03024 0.03095 0.03235 0.03374 0.03511 0.03646 0.03779 0.04104 0.04418 0.04721 0.05015 0.05298 0.05572 0.06093 0.06581 0.07037 0.07465 0.07868 0.09599 0.11113 Thermal Diffusivity a, m2/s 4.158 8.036 1.252 1.356 1.465 1.578 1.696 1.818 1.880 1.944 2.009 2.074 2.141 2.208 2.277 2.346 2.416 2.487 2.632 2.780 2.931 3.086 3.243 3.565 3.898 4.241 4.593 4.954 5.890 6.871 7.892 8.951 1.004 1.117 1.352 1.598 1.855 2.122 2.398 3.908 5.664 106 106 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 104 104 104 104 104 104 104 104 104 Dynamic Viscosity m, kg/m · s 8.636 1.189 1.474 1.527 1.579 1.630 1.680 1.729 1.754 1.778 1.802 1.825 1.849 1.872 1.895 1.918 1.941 1.963 2.008 2.052 2.096 2.139 2.181 2.264 2.345 2.420 2.504 2.577 2.760 2.934 3.101 3.261 3.415 3.563 3.846 4.111 4.362 4.600 4.826 5.817 6.630 106 106 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 Kinematic Viscosity n, m2 /s 3.013 5.837 9.319 1.008 1.087 1.169 1.252 1.338 1.382 1.426 1.470 1.516 1.562 1.608 1.655 1.702 1.750 1.798 1.896 1.995 2.097 2.201 2.306 2.522 2.745 2.975 3.212 3.455 4.091 4.765 5.475 6.219 6.997 7.806 9.515 1.133 1.326 1.529 1.741 2.922 4.270 106 106 106 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 105 104 104 104 104 104 104 Prandtl Number Pr 0.7246 0.7263 0.7440 0.7436 0.7425 0.7408 0.7387 0.7362 0.7350 0.7336 0.7323 0.7309 0.7296 0.7282 0.7268 0.7255 0.7241 0.7228 0.7202 0.7177 0.7154 0.7132 0.7111 0.7073 0.7041 0.7014 0.6992 0.6974 0.6946 0.6935 0.6937 0.6948 0.6965 0.6986 0.7037 0.7092 0.7149 0.7206 0.7260 0.7478 0.7539 Note: For ideal gases, the properties cp, k, m, and Pr are independent of pressure. The properties r, n, and a at a pressure P (in atm) other than 1 atm are determined by multiplying the values of r at the given temperature by P and by dividing n and a by P. Source: Data generated from the EES software developed by S. A. Klein and F. L. Alvarado. Original sources: Keenan, Chao, Keyes, Gas Tables, Wiley, 1984; and Thermophysical Properties of Matter. Vol. 3: Thermal Conductivity, Y. S. Touloukian, P. E. Liley, S. C. Saxena, Vol. 11: Viscosity, Y. S. Touloukian, S. C. Saxena, and P. Hestermans, IFI/Plenun, NY, 1970, ISBN 0-306067020-8.