TABLE A-1 Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds 719
TABLE A-2 Properties of Saturated Water (Liquid–Vapor): Temperature Table 720
TABLE A-3 Properties of Saturated Water (Liquid–Vapor): Pressure Table 722
TABLE A-4 Properties of Superheated Water Vapor 724
TABLE A-5 Properties of Compressed Liquid Water 728
TABLE A-6 Properties of Saturated Water (Solid–Vapor): Temperature Table 729
TABLE A-7 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Temperature Table 730
TABLE A-8 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Pressure Table 731
TABLE A-9 Properties of Superheated Refrigerant 22 Vapor 732
TABLE A-10 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Temperature Table 736
TABLE A-11 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Pressure Table 737
TABLE A-12 Properties of Superheated Refrigerant 134a Vapor 738
TABLE A-13 Properties of Saturated Ammonia (Liquid–Vapor): Temperature Table 741
TABLE A-14 Properties of Saturated Ammonia (Liquid–Vapor): Pressure Table 742
TABLE A-15 Properties of Superheated Ammonia Vapor 743
TABLE A-16 Properties of Saturated Propane (Liquid–Vapor): Temperature Table 747
TABLE A-17 Properties of Saturated Propane (Liquid–Vapor): Pressure Table 748
TABLE A-18 Properties of Superheated Propane Vapor 749
TABLE A-19 Properties of Selected Solids and Liquids: cp, �, and . 753
TABLE A-20 Ideal Gas Specific Heats of Some Common Gases 754
TABLE A-21 Variation of with Temperature for Selected Ideal Gases 755
TABLE A-22 Ideal Gas Properties of Air 756
TABLE A-23 Ideal Gas Properties of Selected Gases 758
TABLE A-24 Constants for the van der Waals, Redlich–Kwong, and Benedict–Webb–Rubin Equations of State 762
TABLE A-25 Thermochemical Properties of Selected Substances at 298 K and 1 atm 763
TABLE A-26 Standard Molar Chemical Exergy, (kJ/kmol), of Selected Substances at 298 K and p0 764
TABLE A-27 Logarithms to the Base 10 of the Equilibrium Constant K 765e ch
cp
718
Index to Tables in SI Units
Tables in SI Units 719
TABLE A-1 Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds
Chemical M Tc pc
Substance Formula (kg/kmol) (K) (bar)
Acetylene C2H2 26.04 309 62.8 0.274Air (equivalent) — 28.97 133 37.7 0.284Ammonia NH3 17.03 406 112.8 0.242
Argon Ar 39.94 151 48.6 0.290Benzene C6H6 78.11 563 49.3 0.274Butane C4H10 58.12 425 38.0 0.274
Carbon C 12.01 — — —Carbon dioxide CO2 44.01 304 73.9 0.276Carbon monoxide CO 28.01 133 35.0 0.294
Copper Cu 63.54 — — —Ethane C2H6 30.07 305 48.8 0.285Ethyl alcohol C2H5OH 46.07 516 63.8 0.249
Ethylene C2H4 28.05 283 51.2 0.270Helium He 4.003 5.2 2.3 0.300Hydrogen H2 2.016 33.2 13.0 0.304
Methane CH4 16.04 191 46.4 0.290Methyl alcohol CH3OH 32.04 513 79.5 0.220Nitrogen N2 28.01 126 33.9 0.291
Octane C8H18 114.22 569 24.9 0.258Oxygen O2 32.00 154 50.5 0.290Propane C3H8 44.09 370 42.7 0.276
Propylene C3H6 42.08 365 46.2 0.276Refrigerant 12 CCl2F2 120.92 385 41.2 0.278Refrigerant 22 CHClF2 86.48 369 49.8 0.267
Refrigerant 134a CF3CH2F 102.03 374 40.7 0.260Sulfur dioxide SO2 64.06 431 78.7 0.268Water H2O 18.02 647.3 220.9 0.233
Sources: Adapted from International Critical Tables and L. C. Nelson and E. F. Obert, Generalized CompressibilityCharts, Chem. Eng., 61: 203 (1954).
Zc �pcvc
RTc
Tabl
e A
-1
720 Tables in SI Units
H2O
TABLE A-2 Properties of Saturated Water (Liquid–Vapor): Temperature Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
.01 0.00611 1.0002 206.136 0.00 2375.3 0.01 2501.3 2501.4 0.0000 9.1562 .014 0.00813 1.0001 157.232 16.77 2380.9 16.78 2491.9 2508.7 0.0610 9.0514 45 0.00872 1.0001 147.120 20.97 2382.3 20.98 2489.6 2510.6 0.0761 9.0257 56 0.00935 1.0001 137.734 25.19 2383.6 25.20 2487.2 2512.4 0.0912 9.0003 68 0.01072 1.0002 120.917 33.59 2386.4 33.60 2482.5 2516.1 0.1212 8.9501 8
10 0.01228 1.0004 106.379 42.00 2389.2 42.01 2477.7 2519.8 0.1510 8.9008 1011 0.01312 1.0004 99.857 46.20 2390.5 46.20 2475.4 2521.6 0.1658 8.8765 1112 0.01402 1.0005 93.784 50.41 2391.9 50.41 2473.0 2523.4 0.1806 8.8524 1213 0.01497 1.0007 88.124 54.60 2393.3 54.60 2470.7 2525.3 0.1953 8.8285 1314 0.01598 1.0008 82.848 58.79 2394.7 58.80 2468.3 2527.1 0.2099 8.8048 14
15 0.01705 1.0009 77.926 62.99 2396.1 62.99 2465.9 2528.9 0.2245 8.7814 1516 0.01818 1.0011 73.333 67.18 2397.4 67.19 2463.6 2530.8 0.2390 8.7582 1617 0.01938 1.0012 69.044 71.38 2398.8 71.38 2461.2 2532.6 0.2535 8.7351 1718 0.02064 1.0014 65.038 75.57 2400.2 75.58 2458.8 2534.4 0.2679 8.7123 1819 0.02198 1.0016 61.293 79.76 2401.6 79.77 2456.5 2536.2 0.2823 8.6897 19
20 0.02339 1.0018 57.791 83.95 2402.9 83.96 2454.1 2538.1 0.2966 8.6672 2021 0.02487 1.0020 54.514 88.14 2404.3 88.14 2451.8 2539.9 0.3109 8.6450 2122 0.02645 1.0022 51.447 92.32 2405.7 92.33 2449.4 2541.7 0.3251 8.6229 2223 0.02810 1.0024 48.574 96.51 2407.0 96.52 2447.0 2543.5 0.3393 8.6011 2324 0.02985 1.0027 45.883 100.70 2408.4 100.70 2444.7 2545.4 0.3534 8.5794 24
25 0.03169 1.0029 43.360 104.88 2409.8 104.89 2442.3 2547.2 0.3674 8.5580 2526 0.03363 1.0032 40.994 109.06 2411.1 109.07 2439.9 2549.0 0.3814 8.5367 2627 0.03567 1.0035 38.774 113.25 2412.5 113.25 2437.6 2550.8 0.3954 8.5156 2728 0.03782 1.0037 36.690 117.42 2413.9 117.43 2435.2 2552.6 0.4093 8.4946 2829 0.04008 1.0040 34.733 121.60 2415.2 121.61 2432.8 2554.5 0.4231 8.4739 29
30 0.04246 1.0043 32.894 125.78 2416.6 125.79 2430.5 2556.3 0.4369 8.4533 3031 0.04496 1.0046 31.165 129.96 2418.0 129.97 2428.1 2558.1 0.4507 8.4329 3132 0.04759 1.0050 29.540 134.14 2419.3 134.15 2425.7 2559.9 0.4644 8.4127 3233 0.05034 1.0053 28.011 138.32 2420.7 138.33 2423.4 2561.7 0.4781 8.3927 3334 0.05324 1.0056 26.571 142.50 2422.0 142.50 2421.0 2563.5 0.4917 8.3728 34
35 0.05628 1.0060 25.216 146.67 2423.4 146.68 2418.6 2565.3 0.5053 8.3531 3536 0.05947 1.0063 23.940 150.85 2424.7 150.86 2416.2 2567.1 0.5188 8.3336 3638 0.06632 1.0071 21.602 159.20 2427.4 159.21 2411.5 2570.7 0.5458 8.2950 3840 0.07384 1.0078 19.523 167.56 2430.1 167.57 2406.7 2574.3 0.5725 8.2570 4045 0.09593 1.0099 15.258 188.44 2436.8 188.45 2394.8 2583.2 0.6387 8.1648 45
#
Tables in SI Units 721
H2O
TABLE A-2 (Continued)
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
50 .1235 1.0121 12.032 209.32 2443.5 209.33 2382.7 2592.1 .7038 8.0763 5055 .1576 1.0146 9.568 230.21 2450.1 230.23 2370.7 2600.9 .7679 7.9913 5560 .1994 1.0172 7.671 251.11 2456.6 251.13 2358.5 2609.6 .8312 7.9096 6065 .2503 1.0199 6.197 272.02 2463.1 272.06 2346.2 2618.3 .8935 7.8310 6570 .3119 1.0228 5.042 292.95 2469.6 292.98 2333.8 2626.8 .9549 7.7553 70
75 .3858 1.0259 4.131 313.90 2475.9 313.93 2321.4 2635.3 1.0155 7.6824 7580 .4739 1.0291 3.407 334.86 2482.2 334.91 2308.8 2643.7 1.0753 7.6122 8085 .5783 1.0325 2.828 355.84 2488.4 355.90 2296.0 2651.9 1.1343 7.5445 8590 .7014 1.0360 2.361 376.85 2494.5 376.92 2283.2 2660.1 1.1925 7.4791 9095 .8455 1.0397 1.982 397.88 2500.6 397.96 2270.2 2668.1 1.2500 7.4159 95
100 1.014 1.0435 1.673 418.94 2506.5 419.04 2257.0 2676.1 1.3069 7.3549 100110 1.433 1.0516 1.210 461.14 2518.1 461.30 2230.2 2691.5 1.4185 7.2387 110120 1.985 1.0603 0.8919 503.50 2529.3 503.71 2202.6 2706.3 1.5276 7.1296 120130 2.701 1.0697 0.6685 546.02 2539.9 546.31 2174.2 2720.5 1.6344 7.0269 130140 3.613 1.0797 0.5089 588.74 2550.0 589.13 2144.7 2733.9 1.7391 6.9299 140
150 4.758 1.0905 0.3928 631.68 2559.5 632.20 2114.3 2746.5 1.8418 6.8379 150160 6.178 1.1020 0.3071 674.86 2568.4 675.55 2082.6 2758.1 1.9427 6.7502 160170 7.917 1.1143 0.2428 718.33 2576.5 719.21 2049.5 2768.7 2.0419 6.6663 170180 10.02 1.1274 0.1941 762.09 2583.7 763.22 2015.0 2778.2 2.1396 6.5857 180190 12.54 1.1414 0.1565 806.19 2590.0 807.62 1978.8 2786.4 2.2359 6.5079 190
200 15.54 1.1565 0.1274 850.65 2595.3 852.45 1940.7 2793.2 2.3309 6.4323 200210 19.06 1.1726 0.1044 895.53 2599.5 897.76 1900.7 2798.5 2.4248 6.3585 210220 23.18 1.1900 0.08619 940.87 2602.4 943.62 1858.5 2802.1 2.5178 6.2861 220230 27.95 1.2088 0.07158 986.74 2603.9 990.12 1813.8 2804.0 2.6099 6.2146 230240 33.44 1.2291 0.05976 1033.2 2604.0 1037.3 1766.5 2803.8 2.7015 6.1437 240
250 39.73 1.2512 0.05013 1080.4 2602.4 1085.4 1716.2 2801.5 2.7927 6.0730 250260 46.88 1.2755 0.04221 1128.4 2599.0 1134.4 1662.5 2796.6 2.8838 6.0019 260270 54.99 1.3023 0.03564 1177.4 2593.7 1184.5 1605.2 2789.7 2.9751 5.9301 270280 64.12 1.3321 0.03017 1227.5 2586.1 1236.0 1543.6 2779.6 3.0668 5.8571 280290 74.36 1.3656 0.02557 1278.9 2576.0 1289.1 1477.1 2766.2 3.1594 5.7821 290
300 85.81 1.4036 0.02167 1332.0 2563.0 1344.0 1404.9 2749.0 3.2534 5.7045 300320 112.7 1.4988 0.01549 1444.6 2525.5 1461.5 1238.6 2700.1 3.4480 5.5362 320340 145.9 1.6379 0.01080 1570.3 2464.6 1594.2 1027.9 2622.0 3.6594 5.3357 340360 186.5 1.8925 0.006945 1725.2 2351.5 1760.5 720.5 2481.0 3.9147 5.0526 360374.14 220.9 3.155 0.003155 2029.6 2029.6 2099.3 0 2099.3 4.4298 4.4298 374.14
Source: Tables A-2 through A-5 are extracted from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1969.
#
722 Tables in SI Units
TABLE A-3 Properties of Saturated Water (Liquid–Vapor): Pressure Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.
bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
0.04 28.96 1.0040 34.800 121.45 2415.2 121.46 2432.9 2554.4 0.4226 8.4746 0.040.06 36.16 1.0064 23.739 151.53 2425.0 151.53 2415.9 2567.4 0.5210 8.3304 0.060.08 41.51 1.0084 18.103 173.87 2432.2 173.88 2403.1 2577.0 0.5926 8.2287 0.080.10 45.81 1.0102 14.674 191.82 2437.9 191.83 2392.8 2584.7 0.6493 8.1502 0.100.20 60.06 1.0172 7.649 251.38 2456.7 251.40 2358.3 2609.7 0.8320 7.9085 0.20
0.30 69.10 1.0223 5.229 289.20 2468.4 289.23 2336.1 2625.3 0.9439 7.7686 0.300.40 75.87 1.0265 3.993 317.53 2477.0 317.58 2319.2 2636.8 1.0259 7.6700 0.400.50 81.33 1.0300 3.240 340.44 2483.9 340.49 2305.4 2645.9 1.0910 7.5939 0.500.60 85.94 1.0331 2.732 359.79 2489.6 359.86 2293.6 2653.5 1.1453 7.5320 0.600.70 89.95 1.0360 2.365 376.63 2494.5 376.70 2283.3 2660.0 1.1919 7.4797 0.70
0.80 93.50 1.0380 2.087 391.58 2498.8 391.66 2274.1 2665.8 1.2329 7.4346 0.800.90 96.71 1.0410 1.869 405.06 2502.6 405.15 2265.7 2670.9 1.2695 7.3949 0.901.00 99.63 1.0432 1.694 417.36 2506.1 417.46 2258.0 2675.5 1.3026 7.3594 1.001.50 111.4 1.0528 1.159 466.94 2519.7 467.11 2226.5 2693.6 1.4336 7.2233 1.502.00 120.2 1.0605 0.8857 504.49 2529.5 504.70 2201.9 2706.7 1.5301 7.1271 2.00
2.50 127.4 1.0672 0.7187 535.10 2537.2 535.37 2181.5 2716.9 1.6072 7.0527 2.503.00 133.6 1.0732 0.6058 561.15 2543.6 561.47 2163.8 2725.3 1.6718 6.9919 3.003.50 138.9 1.0786 0.5243 583.95 2546.9 584.33 2148.1 2732.4 1.7275 6.9405 3.504.00 143.6 1.0836 0.4625 604.31 2553.6 604.74 2133.8 2738.6 1.7766 6.8959 4.004.50 147.9 1.0882 0.4140 622.25 2557.6 623.25 2120.7 2743.9 1.8207 6.8565 4.50
5.00 151.9 1.0926 0.3749 639.68 2561.2 640.23 2108.5 2748.7 1.8607 6.8212 5.006.00 158.9 1.1006 0.3157 669.90 2567.4 670.56 2086.3 2756.8 1.9312 6.7600 6.007.00 165.0 1.1080 0.2729 696.44 2572.5 697.22 2066.3 2763.5 1.9922 6.7080 7.008.00 170.4 1.1148 0.2404 720.22 2576.8 721.11 2048.0 2769.1 2.0462 6.6628 8.009.00 175.4 1.1212 0.2150 741.83 2580.5 742.83 2031.1 2773.9 2.0946 6.6226 9.00
10.0 179.9 1.1273 0.1944 761.68 2583.6 762.81 2015.3 2778.1 2.1387 6.5863 10.015.0 198.3 1.1539 0.1318 843.16 2594.5 844.84 1947.3 2792.2 2.3150 6.4448 15.020.0 212.4 1.1767 0.09963 906.44 2600.3 908.79 1890.7 2799.5 2.4474 6.3409 20.025.0 224.0 1.1973 0.07998 959.11 2603.1 962.11 1841.0 2803.1 2.5547 6.2575 25.030.0 233.9 1.2165 0.06668 1004.8 2604.1 1008.4 1795.7 2804.2 2.6457 6.1869 30.0
35.0 242.6 1.2347 0.05707 1045.4 2603.7 1049.8 1753.7 2803.4 2.7253 6.1253 35.040.0 250.4 1.2522 0.04978 1082.3 2602.3 1087.3 1714.1 2801.4 2.7964 6.0701 40.045.0 257.5 1.2692 0.04406 1116.2 2600.1 1121.9 1676.4 2798.3 2.8610 6.0199 45.050.0 264.0 1.2859 0.03944 1147.8 2597.1 1154.2 1640.1 2794.3 2.9202 5.9734 50.060.0 275.6 1.3187 0.03244 1205.4 2589.7 1213.4 1571.0 2784.3 3.0267 5.8892 60.0
70.0 285.9 1.3513 0.02737 1257.6 2580.5 1267.0 1505.1 2772.1 3.1211 5.8133 70.080.0 295.1 1.3842 0.02352 1305.6 2569.8 1316.6 1441.3 2758.0 3.2068 5.7432 80.090.0 303.4 1.4178 0.02048 1350.5 2557.8 1363.3 1378.9 2742.1 3.2858 5.6772 90.0
100. 311.1 1.4524 0.01803 1393.0 2544.4 1407.6 1317.1 2724.7 3.3596 5.6141 100.110. 318.2 1.4886 0.01599 1433.7 2529.8 1450.1 1255.5 2705.6 3.4295 5.5527 110.
#
H2O
Tables in SI Units 723
TABLE A-3 (Continued)
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.
bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
120. 324.8 1.5267 0.01426 1473.0 2513.7 1491.3 1193.6 2684.9 3.4962 5.4924 120.130. 330.9 1.5671 0.01278 1511.1 2496.1 1531.5 1130.7 2662.2 3.5606 5.4323 130.140. 336.8 1.6107 0.01149 1548.6 2476.8 1571.1 1066.5 2637.6 3.6232 5.3717 140.150. 342.2 1.6581 0.01034 1585.6 2455.5 1610.5 1000.0 2610.5 3.6848 5.3098 150.160. 347.4 1.7107 0.009306 1622.7 2431.7 1650.1 930.6 2580.6 3.7461 5.2455 160.
170. 352.4 1.7702 0.008364 1660.2 2405.0 1690.3 856.9 2547.2 3.8079 5.1777 170.180. 357.1 1.8397 0.007489 1698.9 2374.3 1732.0 777.1 2509.1 3.8715 5.1044 180.190. 361.5 1.9243 0.006657 1739.9 2338.1 1776.5 688.0 2464.5 3.9388 5.0228 190.200. 365.8 2.036 0.005834 1785.6 2293.0 1826.3 583.4 2409.7 4.0139 4.9269 200.220.9 374.1 3.155 0.003155 2029.6 2029.6 2099.3 0 2099.3 4.4298 4.4298 220.9
#
H2O
724 Tables in SI Units
TABLE A-4 Properties of Superheated Water Vapor
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 0.06 bar � 0.006 MPa p � 0.35 bar � 0.035 MPa(Tsat � 36.16�C) (Tsat � 72.69�C)
Sat. 23.739 2425.0 2567.4 8.3304 4.526 2473.0 2631.4 7.715880 27.132 2487.3 2650.1 8.5804 4.625 2483.7 2645.6 7.7564
120 30.219 2544.7 2726.0 8.7840 5.163 2542.4 2723.1 7.9644
160 33.302 2602.7 2802.5 8.9693 5.696 2601.2 2800.6 8.1519200 36.383 2661.4 2879.7 9.1398 6.228 2660.4 2878.4 8.3237240 39.462 2721.0 2957.8 9.2982 6.758 2720.3 2956.8 8.4828
280 42.540 2781.5 3036.8 9.4464 7.287 2780.9 3036.0 8.6314320 45.618 2843.0 3116.7 9.5859 7.815 2842.5 3116.1 8.7712360 48.696 2905.5 3197.7 9.7180 8.344 2905.1 3197.1 8.9034
400 51.774 2969.0 3279.6 9.8435 8.872 2968.6 3279.2 9.0291440 54.851 3033.5 3362.6 9.9633 9.400 3033.2 3362.2 9.1490500 59.467 3132.3 3489.1 10.1336 10.192 3132.1 3488.8 9.3194
p � 0.70 bar � 0.07 MPa p � 1.0 bar � 0.10 MPa(Tsat � 89.95�C) (Tsat � 99.63�C)
Sat. 2.365 2494.5 2660.0 7.4797 1.694 2506.1 2675.5 7.3594100 2.434 2509.7 2680.0 7.5341 1.696 2506.7 2676.2 7.3614120 2.571 2539.7 2719.6 7.6375 1.793 2537.3 2716.6 7.4668
160 2.841 2599.4 2798.2 7.8279 1.984 2597.8 2796.2 7.6597200 3.108 2659.1 2876.7 8.0012 2.172 2658.1 2875.3 7.8343240 3.374 2719.3 2955.5 8.1611 2.359 2718.5 2954.5 7.9949
280 3.640 2780.2 3035.0 8.3162 2.546 2779.6 3034.2 8.1445320 3.905 2842.0 3115.3 8.4504 2.732 2841.5 3114.6 8.2849360 4.170 2904.6 3196.5 8.5828 2.917 2904.2 3195.9 8.4175
400 4.434 2968.2 3278.6 8.7086 3.103 2967.9 3278.2 8.5435440 4.698 3032.9 3361.8 8.8286 3.288 3032.6 3361.4 8.6636500 5.095 3131.8 3488.5 8.9991 3.565 3131.6 3488.1 8.8342
p � 1.5 bar � 0.15 MPa p � 3.0 bar � 0.30 MPa(Tsat � 111.37�C) (Tsat � 133.55�C)
Sat. 1.159 2519.7 2693.6 7.2233 0.606 2543.6 2725.3 6.9919120 1.188 2533.3 2711.4 7.2693160 1.317 2595.2 2792.8 7.4665 0.651 2587.1 2782.3 7.1276
200 1.444 2656.2 2872.9 7.6433 0.716 2650.7 2865.5 7.3115240 1.570 2717.2 2952.7 7.8052 0.781 2713.1 2947.3 7.4774280 1.695 2778.6 3032.8 7.9555 0.844 2775.4 3028.6 7.6299
320 1.819 2840.6 3113.5 8.0964 0.907 2838.1 3110.1 7.7722360 1.943 2903.5 3195.0 8.2293 0.969 2901.4 3192.2 7.9061400 2.067 2967.3 3277.4 8.3555 1.032 2965.6 3275.0 8.0330
440 2.191 3032.1 3360.7 8.4757 1.094 3030.6 3358.7 8.1538500 2.376 3131.2 3487.6 8.6466 1.187 3130.0 3486.0 8.3251600 2.685 3301.7 3704.3 8.9101 1.341 3300.8 3703.2 8.5892
##
H2O
Tables in SI Units 725
TABLE A-4 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 5.0 bar � 0.50 MPa p � 7.0 bar � 0.70 MPa(Tsat � 151.86�C) (Tsat � 164.97�C)
Sat. 0.3749 2561.2 2748.7 6.8213 0.2729 2572.5 2763.5 6.7080180 0.4045 2609.7 2812.0 6.9656 0.2847 2599.8 2799.1 6.7880200 0.4249 2642.9 2855.4 7.0592 0.2999 2634.8 2844.8 6.8865
240 0.4646 2707.6 2939.9 7.2307 0.3292 2701.8 2932.2 7.0641280 0.5034 2771.2 3022.9 7.3865 0.3574 2766.9 3017.1 7.2233320 0.5416 2834.7 3105.6 7.5308 0.3852 2831.3 3100.9 7.3697
360 0.5796 2898.7 3188.4 7.6660 0.4126 2895.8 3184.7 7.5063400 0.6173 2963.2 3271.9 7.7938 0.4397 2960.9 3268.7 7.6350440 0.6548 3028.6 3356.0 7.9152 0.4667 3026.6 3353.3 7.7571
500 0.7109 3128.4 3483.9 8.0873 0.5070 3126.8 3481.7 7.9299600 0.8041 3299.6 3701.7 8.3522 0.5738 3298.5 3700.2 8.1956700 0.8969 3477.5 3925.9 8.5952 0.6403 3476.6 3924.8 8.4391
p � 10.0 bar � 1.0 MPa p � 15.0 bar � 1.5 MPa(Tsat � 179.91�C) (Tsat � 198.32�C)
Sat. 0.1944 2583.6 2778.1 6.5865 0.1318 2594.5 2792.2 6.4448200 0.2060 2621.9 2827.9 6.6940 0.1325 2598.1 2796.8 6.4546240 0.2275 2692.9 2920.4 6.8817 0.1483 2676.9 2899.3 6.6628
280 0.2480 2760.2 3008.2 7.0465 0.1627 2748.6 2992.7 6.8381320 0.2678 2826.1 3093.9 7.1962 0.1765 2817.1 3081.9 6.9938360 0.2873 2891.6 3178.9 7.3349 0.1899 2884.4 3169.2 7.1363
400 0.3066 2957.3 3263.9 7.4651 0.2030 2951.3 3255.8 7.2690440 0.3257 3023.6 3349.3 7.5883 0.2160 3018.5 3342.5 7.3940500 0.3541 3124.4 3478.5 7.7622 0.2352 3120.3 3473.1 7.5698
540 0.3729 3192.6 3565.6 7.8720 0.2478 3189.1 3560.9 7.6805600 0.4011 3296.8 3697.9 8.0290 0.2668 3293.9 3694.0 7.8385640 0.4198 3367.4 3787.2 8.1290 0.2793 3364.8 3783.8 7.9391
p � 20.0 bar � 2.0 MPa p � 30.0 bar � 3.0 MPa(Tsat � 212.42�C) (Tsat � 233.90�C)
Sat. 0.0996 2600.3 2799.5 6.3409 0.0667 2604.1 2804.2 6.1869240 0.1085 2659.6 2876.5 6.4952 0.0682 2619.7 2824.3 6.2265280 0.1200 2736.4 2976.4 6.6828 0.0771 2709.9 2941.3 6.4462
320 0.1308 2807.9 3069.5 6.8452 0.0850 2788.4 3043.4 6.6245360 0.1411 2877.0 3159.3 6.9917 0.0923 2861.7 3138.7 6.7801400 0.1512 2945.2 3247.6 7.1271 0.0994 2932.8 3230.9 6.9212
440 0.1611 3013.4 3335.5 7.2540 0.1062 3002.9 3321.5 7.0520500 0.1757 3116.2 3467.6 7.4317 0.1162 3108.0 3456.5 7.2338540 0.1853 3185.6 3556.1 7.5434 0.1227 3178.4 3546.6 7.3474
600 0.1996 3290.9 3690.1 7.7024 0.1324 3285.0 3682.3 7.5085640 0.2091 3362.2 3780.4 7.8035 0.1388 3357.0 3773.5 7.6106700 0.2232 3470.9 3917.4 7.9487 0.1484 3466.5 3911.7 7.7571
##
H2O
726 Tables in SI Units
TABLE A-4 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 40 bar � 4.0 MPa p � 60 bar � 6.0 MPa(Tsat � 250.4�C) (Tsat � 275.64�C)
Sat. 0.04978 2602.3 2801.4 6.0701 0.03244 2589.7 2784.3 5.8892280 0.05546 2680.0 2901.8 6.2568 0.03317 2605.2 2804.2 5.9252320 0.06199 2767.4 3015.4 6.4553 0.03876 2720.0 2952.6 6.1846
360 0.06788 2845.7 3117.2 6.6215 0.04331 2811.2 3071.1 6.3782400 0.07341 2919.9 3213.6 6.7690 0.04739 2892.9 3177.2 6.5408440 0.07872 2992.2 3307.1 6.9041 0.05122 2970.0 3277.3 6.6853
500 0.08643 3099.5 3445.3 7.0901 0.05665 3082.2 3422.2 6.8803540 0.09145 3171.1 3536.9 7.2056 0.06015 3156.1 3517.0 6.9999600 0.09885 3279.1 3674.4 7.3688 0.06525 3266.9 3658.4 7.1677
640 0.1037 3351.8 3766.6 7.4720 0.06859 3341.0 3752.6 7.2731700 0.1110 3462.1 3905.9 7.6198 0.07352 3453.1 3894.1 7.4234740 0.1157 3536.6 3999.6 7.7141 0.07677 3528.3 3989.2 7.5190
p � 80 bar � 8.0 MPa p � 100 bar � 10.0 MPa(Tsat � 295.06�C) (Tsat � 311.06�C)
Sat. 0.02352 2569.8 2758.0 5.7432 0.01803 2544.4 2724.7 5.6141320 0.02682 2662.7 2877.2 5.9489 0.01925 2588.8 2781.3 5.7103360 0.03089 2772.7 3019.8 6.1819 0.02331 2729.1 2962.1 6.0060
400 0.03432 2863.8 3138.3 6.3634 0.02641 2832.4 3096.5 6.2120440 0.03742 2946.7 3246.1 6.5190 0.02911 2922.1 3213.2 6.3805480 0.04034 3025.7 3348.4 6.6586 0.03160 3005.4 3321.4 6.5282
520 0.04313 3102.7 3447.7 6.7871 0.03394 3085.6 3425.1 6.6622560 0.04582 3178.7 3545.3 6.9072 0.03619 3164.1 3526.0 6.7864600 0.04845 3254.4 3642.0 7.0206 0.03837 3241.7 3625.3 6.9029
640 0.05102 3330.1 3738.3 7.1283 0.04048 3318.9 3723.7 7.0131700 0.05481 3443.9 3882.4 7.2812 0.04358 3434.7 3870.5 7.1687740 0.05729 3520.4 3978.7 7.3782 0.04560 3512.1 3968.1 7.2670
p � 120 bar � 12.0 MPa p � 140 bar � 14.0 MPa(Tsat � 324.75�C) (Tsat � 336.75�C)
Sat. 0.01426 2513.7 2684.9 5.4924 0.01149 2476.8 2637.6 5.3717360 0.01811 2678.4 2895.7 5.8361 0.01422 2617.4 2816.5 5.6602400 0.02108 2798.3 3051.3 6.0747 0.01722 2760.9 3001.9 5.9448
440 0.02355 2896.1 3178.7 6.2586 0.01954 2868.6 3142.2 6.1474480 0.02576 2984.4 3293.5 6.4154 0.02157 2962.5 3264.5 6.3143520 0.02781 3068.0 3401.8 6.5555 0.02343 3049.8 3377.8 6.4610
560 0.02977 3149.0 3506.2 6.6840 0.02517 3133.6 3486.0 6.5941600 0.03164 3228.7 3608.3 6.8037 0.02683 3215.4 3591.1 6.7172640 0.03345 3307.5 3709.0 6.9164 0.02843 3296.0 3694.1 6.8326
700 0.03610 3425.2 3858.4 7.0749 0.03075 3415.7 3846.2 6.9939740 0.03781 3503.7 3957.4 7.1746 0.03225 3495.2 3946.7 7.0952
##
H2O
Tables in SI Units 727
TABLE A-4 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 160 bar � 16.0 MPa p � 180 bar � 18.0 MPa(Tsat � 347.44�C) (Tsat � 357.06�C)
Sat. 0.00931 2431.7 2580.6 5.2455 0.00749 2374.3 2509.1 5.1044360 0.01105 2539.0 2715.8 5.4614 0.00809 2418.9 2564.5 5.1922400 0.01426 2719.4 2947.6 5.8175 0.01190 2672.8 2887.0 5.6887
440 0.01652 2839.4 3103.7 6.0429 0.01414 2808.2 3062.8 5.9428480 0.01842 2939.7 3234.4 6.2215 0.01596 2915.9 3203.2 6.1345520 0.02013 3031.1 3353.3 6.3752 0.01757 3011.8 3378.0 6.2960
560 0.02172 3117.8 3465.4 6.5132 0.01904 3101.7 3444.4 6.4392600 0.02323 3201.8 3573.5 6.6399 0.02042 3188.0 3555.6 6.5696640 0.02467 3284.2 3678.9 6.7580 0.02174 3272.3 3663.6 6.6905
700 0.02674 3406.0 3833.9 6.9224 0.02362 3396.3 3821.5 6.8580740 0.02808 3486.7 3935.9 7.0251 0.02483 3478.0 3925.0 6.9623
p � 200 bar � 20.0 MPa p � 240 bar � 24.0 MPa(Tsat � 365.81�C)
Sat. 0.00583 2293.0 2409.7 4.9269400 0.00994 2619.3 2818.1 5.5540 0.00673 2477.8 2639.4 5.2393440 0.01222 2774.9 3019.4 5.8450 0.00929 2700.6 2923.4 5.6506
480 0.01399 2891.2 3170.8 6.0518 0.01100 2838.3 3102.3 5.8950520 0.01551 2992.0 3302.2 6.2218 0.01241 2950.5 3248.5 6.0842560 0.01689 3085.2 3423.0 6.3705 0.01366 3051.1 3379.0 6.2448
600 0.01818 3174.0 3537.6 6.5048 0.01481 3145.2 3500.7 6.3875640 0.01940 3260.2 3648.1 6.6286 0.01588 3235.5 3616.7 6.5174700 0.02113 3386.4 3809.0 6.7993 0.01739 3366.4 3783.8 6.6947
740 0.02224 3469.3 3914.1 6.9052 0.01835 3451.7 3892.1 6.8038800 0.02385 3592.7 4069.7 7.0544 0.01974 3578.0 4051.6 6.9567
p � 280 bar � 28.0 MPa p � 320 bar � 32.0 MPa
400 0.00383 2223.5 2330.7 4.7494 0.00236 1980.4 2055.9 4.3239440 0.00712 2613.2 2812.6 5.4494 0.00544 2509.0 2683.0 5.2327480 0.00885 2780.8 3028.5 5.7446 0.00722 2718.1 2949.2 5.5968
520 0.01020 2906.8 3192.3 5.9566 0.00853 2860.7 3133.7 5.8357560 0.01136 3015.7 3333.7 6.1307 0.00963 2979.0 3287.2 6.0246600 0.01241 3115.6 3463.0 6.2823 0.01061 3085.3 3424.6 6.1858
640 0.01338 3210.3 3584.8 6.4187 0.01150 3184.5 3552.5 6.3290700 0.01473 3346.1 3758.4 6.6029 0.01273 3325.4 3732.8 6.5203740 0.01558 3433.9 3870.0 6.7153 0.01350 3415.9 3847.8 6.6361
800 0.01680 3563.1 4033.4 6.8720 0.01460 3548.0 4015.1 6.7966900 0.01873 3774.3 4298.8 7.1084 0.01633 3762.7 4285.1 7.0372
##
H2O
728 Tables in SI Units
H2O
TABLE A-5 Properties of Compressed Liquid Water
T v � 103 u h s v � 103 u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 25 bar � 2.5 MPa p � 50 bar � 5.0 MPa(Tsat � 223.99�C) (Tsat � 263.99�C)
20 1.0006 83.80 86.30 .2961 .9995 83.65 88.65 .295640 1.0067 167.25 169.77 .5715 1.0056 166.95 171.97 .570580 1.0280 334.29 336.86 1.0737 1.0268 333.72 338.85 1.0720
100 1.0423 418.24 420.85 1.3050 1.0410 417.52 422.72 1.3030140 1.0784 587.82 590.52 1.7369 1.0768 586.76 592.15 1.7343180 1.1261 761.16 763.97 2.1375 1.1240 759.63 765.25 2.1341
200 1.1555 849.9 852.8 2.3294 1.1530 848.1 853.9 2.3255220 1.1898 940.7 943.7 2.5174 1.1866 938.4 944.4 2.5128Sat. 1.1973 959.1 962.1 2.5546 1.2859 1147.8 1154.2 2.9202
p � 75 bar � 7.5 MPa p � 100 bar � 10.0 MPa(Tsat � 290.59�C) (Tsat � 311.06�C)
20 .9984 83.50 90.99 .2950 .9972 83.36 93.33 .294540 1.0045 166.64 174.18 .5696 1.0034 166.35 176.38 .568680 1.0256 333.15 340.84 1.0704 1.0245 332.59 342.83 1.0688
100 1.0397 416.81 424.62 1.3011 1.0385 416.12 426.50 1.2992140 1.0752 585.72 593.78 1.7317 1.0737 584.68 595.42 1.7292180 1.1219 758.13 766.55 2.1308 1.1199 756.65 767.84 2.1275
220 1.1835 936.2 945.1 2.5083 1.1805 934.1 945.9 2.5039260 1.2696 1124.4 1134.0 2.8763 1.2645 1121.1 1133.7 2.8699Sat. 1.3677 1282.0 1292.2 3.1649 1.4524 1393.0 1407.6 3.3596
p � 150 bar � 15.0 MPa p � 200 bar � 20.0 MPa(Tsat � 342.24�C) (Tsat � 365.81�C)
20 .9950 83.06 97.99 .2934 .9928 82.77 102.62 .292340 1.0013 165.76 180.78 .5666 .9992 165.17 185.16 .564680 1.0222 331.48 346.81 1.0656 1.0199 330.40 350.80 1.0624
100 1.0361 414.74 430.28 1.2955 1.0337 413.39 434.06 1.2917140 1.0707 582.66 598.72 1.7242 1.0678 580.69 602.04 1.7193180 1.1159 753.76 770.50 2.1210 1.1120 750.95 773.20 2.1147
220 1.1748 929.9 947.5 2.4953 1.1693 925.9 949.3 2.4870260 1.2550 1114.6 1133.4 2.8576 1.2462 1108.6 1133.5 2.8459300 1.3770 1316.6 1337.3 3.2260 1.3596 1306.1 1333.3 3.2071Sat. 1.6581 1585.6 1610.5 3.6848 2.036 1785.6 1826.3 4.0139
p � 250 bar � 25 MPa p � 300 bar � 30.0 MPa
20 .9907 82.47 107.24 .2911 .9886 82.17 111.84 .289940 .9971 164.60 189.52 .5626 .9951 164.04 193.89 .5607
100 1.0313 412.08 437.85 1.2881 1.0290 410.78 441.66 1.2844
200 1.1344 834.5 862.8 2.2961 1.1302 831.4 865.3 2.2893300 1.3442 1296.6 1330.2 3.1900 1.3304 1287.9 1327.8 3.1741
##
H2O
TAB
LE A
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1978
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#
729
730 Tables in SI Units
TABLE A-7 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Temperature Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
�60 0.3749 0.6833 0.5370 �21.57 203.67 �21.55 245.35 223.81 �0.0964 1.0547 �60�50 0.6451 0.6966 0.3239 �10.89 207.70 �10.85 239.44 228.60 �0.0474 1.0256 �50�45 0.8290 0.7037 0.2564 �5.50 209.70 �5.44 236.39 230.95 �0.0235 1.0126 �45�40 1.0522 0.7109 0.2052 �0.07 211.68 0.00 233.27 233.27 0.0000 1.0005 �40�36 1.2627 0.7169 0.1730 4.29 213.25 4.38 230.71 235.09 0.0186 0.9914 �36�32 1.5049 0.7231 0.1468 8.68 214.80 8.79 228.10 236.89 0.0369 0.9828 �32
�30 1.6389 0.7262 0.1355 10.88 215.58 11.00 226.77 237.78 0.0460 0.9787 �30�28 1.7819 0.7294 0.1252 13.09 216.34 13.22 225.43 238.66 0.0551 0.9746 �28�26 1.9345 0.7327 0.1159 15.31 217.11 15.45 224.08 239.53 0.0641 0.9707 �26�22 2.2698 0.7393 0.0997 19.76 218.62 19.92 221.32 241.24 0.0819 0.9631 �22�20 2.4534 0.7427 0.0926 21.99 219.37 22.17 219.91 242.09 0.0908 0.9595 �20
�18 2.6482 0.7462 0.0861 24.23 220.11 24.43 218.49 242.92 0.0996 0.9559 �18�16 2.8547 0.7497 0.0802 26.48 220.85 26.69 217.05 243.74 0.1084 0.9525 �16�14 3.0733 0.7533 0.0748 28.73 221.58 28.97 215.59 244.56 0.1171 0.9490 �14�12 3.3044 0.7569 0.0698 31.00 222.30 31.25 214.11 245.36 0.1258 0.9457 �12�10 3.5485 0.7606 0.0652 33.27 223.02 33.54 212.62 246.15 0.1345 0.9424 �10
�8 3.8062 0.7644 0.0610 35.54 223.73 35.83 211.10 246.93 0.1431 0.9392 �8�6 4.0777 0.7683 0.0571 37.83 224.43 38.14 209.56 247.70 0.1517 0.9361 �6�4 4.3638 0.7722 0.0535 40.12 225.13 40.46 208.00 248.45 0.1602 0.9330 �4�2 4.6647 0.7762 0.0501 42.42 225.82 42.78 206.41 249.20 0.1688 0.9300 �2
0 4.9811 0.7803 0.0470 44.73 226.50 45.12 204.81 249.92 0.1773 0.9271 0
2 5.3133 0.7844 0.0442 47.04 227.17 47.46 203.18 250.64 0.1857 0.9241 24 5.6619 0.7887 0.0415 49.37 227.83 49.82 201.52 251.34 0.1941 0.9213 46 6.0275 0.7930 0.0391 51.71 228.48 52.18 199.84 252.03 0.2025 0.9184 68 6.4105 0.7974 0.0368 54.05 229.13 54.56 198.14 252.70 0.2109 0.9157 8
10 6.8113 0.8020 0.0346 56.40 229.76 56.95 196.40 253.35 0.2193 0.9129 10
12 7.2307 0.8066 0.0326 58.77 230.38 59.35 194.64 253.99 0.2276 0.9102 1216 8.1268 0.8162 0.0291 63.53 231.59 64.19 191.02 255.21 0.2442 0.9048 1620 9.1030 0.8263 0.0259 68.33 232.76 69.09 187.28 256.37 0.2607 0.8996 2024 10.164 0.8369 0.0232 73.19 233.87 74.04 183.40 257.44 0.2772 0.8944 2428 11.313 0.8480 0.0208 78.09 234.92 79.05 179.37 258.43 0.2936 0.8893 28
32 12.556 0.8599 0.0186 83.06 235.91 84.14 175.18 259.32 0.3101 0.8842 3236 13.897 0.8724 0.0168 88.08 236.83 89.29 170.82 260.11 0.3265 0.8790 3640 15.341 0.8858 0.0151 93.18 237.66 94.53 166.25 260.79 0.3429 0.8738 4045 17.298 0.9039 0.0132 99.65 238.59 101.21 160.24 261.46 0.3635 0.8672 4550 19.433 0.9238 0.0116 106.26 239.34 108.06 153.84 261.90 0.3842 0.8603 5060 24.281 0.9705 0.0089 120.00 240.24 122.35 139.61 261.96 0.4264 0.8455 60
Source: Tables A-7 through A-9 are calculated based on equations from A. Kamei and S. W. Beyerlein, “A Fundamental Equation forChlorodifluoromethane (R-22),” Fluid Phase Equilibria, Vol. 80, No. 11, 1992, pp. 71–86.
#
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2
Tables in SI Units 731
TABLE A-8 Properties of Saturated Refrigerant 22 (Liquid–Vapor): Pressure Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.
bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
0.40 �58.86 0.6847 0.5056 �20.36 204.13 �20.34 244.69 224.36 �0.0907 1.0512 0.400.50 �54.83 0.6901 0.4107 �16.07 205.76 �16.03 242.33 226.30 �0.0709 1.0391 0.500.60 �51.40 0.6947 0.3466 �12.39 207.14 �12.35 240.28 227.93 �0.0542 1.0294 0.600.70 �48.40 0.6989 0.3002 �9.17 208.34 �9.12 238.47 229.35 �0.0397 1.0213 0.700.80 �45.73 0.7026 0.2650 �6.28 209.41 �6.23 236.84 230.61 �0.0270 1.0144 0.800.90 �43.30 0.7061 0.2374 �3.66 210.37 �3.60 235.34 231.74 �0.0155 1.0084 0.90
1.00 �41.09 0.7093 0.2152 �1.26 211.25 �1.19 233.95 232.77 �0.0051 1.0031 1.001.25 �36.23 0.7166 0.1746 4.04 213.16 4.13 230.86 234.99 0.0175 0.9919 1.251.50 �32.08 0.7230 0.1472 8.60 214.77 8.70 228.15 236.86 0.0366 0.9830 1.501.75 �28.44 0.7287 0.1274 12.61 216.18 12.74 225.73 238.47 0.0531 0.9755 1.752.00 �25.18 0.7340 0.1123 16.22 217.42 16.37 223.52 239.88 0.0678 0.9691 2.00
2.25 �22.22 0.7389 0.1005 19.51 218.53 19.67 221.47 241.15 0.0809 0.9636 2.252.50 �19.51 0.7436 0.0910 22.54 219.55 22.72 219.57 242.29 0.0930 0.9586 2.502.75 �17.00 0.7479 0.0831 25.36 220.48 25.56 217.77 243.33 0.1040 0.9542 2.753.00 �14.66 0.7521 0.0765 27.99 221.34 28.22 216.07 244.29 0.1143 0.9502 3.003.25 �12.46 0.7561 0.0709 30.47 222.13 30.72 214.46 245.18 0.1238 0.9465 3.25
3.50 �10.39 0.7599 0.0661 32.82 222.88 33.09 212.91 246.00 0.1328 0.9431 3.503.75 �8.43 0.7636 0.0618 35.06 223.58 35.34 211.42 246.77 0.1413 0.9399 3.754.00 �6.56 0.7672 0.0581 37.18 224.24 37.49 209.99 247.48 0.1493 0.9370 4.004.25 �4.78 0.7706 0.0548 39.22 224.86 39.55 208.61 248.16 0.1569 0.9342 4.254.50 �3.08 0.7740 0.0519 41.17 225.45 41.52 207.27 248.80 0.1642 0.9316 4.50
4.75 �1.45 0.7773 0.0492 43.05 226.00 43.42 205.98 249.40 0.1711 0.9292 4.755.00 0.12 0.7805 0.0469 44.86 226.54 45.25 204.71 249.97 0.1777 0.9269 5.005.25 1.63 0.7836 0.0447 46.61 227.04 47.02 203.48 250.51 0.1841 0.9247 5.255.50 3.08 0.7867 0.0427 48.30 227.53 48.74 202.28 251.02 0.1903 0.9226 5.505.75 4.49 0.7897 0.0409 49.94 227.99 50.40 201.11 251.51 0.1962 0.9206 5.75
6.00 5.85 0.7927 0.0392 51.53 228.44 52.01 199.97 251.98 0.2019 0.9186 6.007.00 10.91 0.8041 0.0337 57.48 230.04 58.04 195.60 253.64 0.2231 0.9117 7.008.00 15.45 0.8149 0.0295 62.88 231.43 63.53 191.52 255.05 0.2419 0.9056 8.009.00 19.59 0.8252 0.0262 67.84 232.64 68.59 187.67 256.25 0.2591 0.9001 9.00
10.00 23.40 0.8352 0.0236 72.46 233.71 73.30 183.99 257.28 0.2748 0.8952 10.00
12.00 30.25 0.8546 0.0195 80.87 235.48 81.90 177.04 258.94 0.3029 0.8864 12.0014.00 36.29 0.8734 0.0166 88.45 236.89 89.68 170.49 260.16 0.3277 0.8786 14.0016.00 41.73 0.8919 0.0144 95.41 238.00 96.83 164.21 261.04 0.3500 0.8715 16.0018.00 46.69 0.9104 0.0127 101.87 238.86 103.51 158.13 261.64 0.3705 0.8649 18.0020.00 51.26 0.9291 0.0112 107.95 239.51 109.81 152.17 261.98 0.3895 0.8586 20.0024.00 59.46 0.9677 0.0091 119.24 240.22 121.56 140.43 261.99 0.4241 0.8463 24.00
#
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732 Tables in SI Units
TABLE A-9 Properties of Superheated Refrigerant 22 Vapor
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 0.4 bar � 0.04 MPa p � 0.6 bar � 0.06 MPa(Tsat � �58.86�C) (Tsat � �51.40�C)
Sat. 0.50559 204.13 224.36 1.0512 0.34656 207.14 227.93 1.0294�55 0.51532 205.92 226.53 1.0612�50 0.52787 208.26 229.38 1.0741 0.34895 207.80 228.74 1.0330
�45 0.54037 210.63 232.24 1.0868 0.35747 210.20 231.65 1.0459�40 0.55284 213.02 235.13 1.0993 0.36594 212.62 234.58 1.0586�35 0.56526 215.43 238.05 1.1117 0.37437 215.06 237.52 1.0711
�30 0.57766 217.88 240.99 1.1239 0.38277 217.53 240.49 1.0835�25 0.59002 220.35 243.95 1.1360 0.39114 220.02 243.49 1.0956�20 0.60236 222.85 246.95 1.1479 0.39948 222.54 246.51 1.1077
�15 0.61468 225.38 249.97 1.1597 0.40779 225.08 249.55 1.1196�10 0.62697 227.93 253.01 1.1714 0.41608 227.65 252.62 1.1314�5 0.63925 230.52 256.09 1.1830 0.42436 230.25 255.71 1.1430
0 0.65151 233.13 259.19 1.1944 0.43261 232.88 258.83 1.1545
p � 0.8 bar � 0.08 MPa p � 1.0 bar � 0.10 MPa(Tsat � �45.73�C) (Tsat � �41.09�C)
Sat. 0.26503 209.41 230.61 1.0144 0.21518 211.25 232.77 1.0031�45 0.26597 209.76 231.04 1.0163�40 0.27245 212.21 234.01 1.0292 0.21633 211.79 233.42 1.0059
�35 0.27890 214.68 236.99 1.0418 0.22158 214.29 236.44 1.0187�30 0.28530 217.17 239.99 1.0543 0.22679 216.80 239.48 1.0313�25 0.29167 219.68 243.02 1.0666 0.23197 219.34 242.54 1.0438
�20 0.29801 222.22 246.06 1.0788 0.23712 221.90 245.61 1.0560�15 0.30433 224.78 249.13 1.0908 0.24224 224.48 248.70 1.0681�10 0.31062 227.37 252.22 1.1026 0.24734 227.08 251.82 1.0801
�5 0.31690 229.98 255.34 1.1143 0.25241 229.71 254.95 1.09190 0.32315 232.62 258.47 1.1259 0.25747 232.36 258.11 1.10355 0.32939 235.29 261.64 1.1374 0.26251 235.04 261.29 1.1151
10 0.33561 237.98 264.83 1.1488 0.26753 237.74 264.50 1.1265
p � 1.5 bar � 0.15 MPa p � 2.0 bar � 0.20 MPa(Tsat � �32.08�C) (Tsat � �25.18�C)
Sat. 0.14721 214.77 236.86 0.9830 0.11232 217.42 239.88 0.9691�30 0.14872 215.85 238.16 0.9883�25 0.15232 218.45 241.30 1.0011 0.11242 217.51 240.00 0.9696
�20 0.15588 221.07 244.45 1.0137 0.11520 220.19 243.23 0.9825�15 0.15941 223.70 247.61 1.0260 0.11795 222.88 246.47 0.9952�10 0.16292 226.35 250.78 1.0382 0.12067 225.58 249.72 1.0076
�5 0.16640 229.02 253.98 1.0502 0.12336 228.30 252.97 1.01990 0.16987 231.70 257.18 1.0621 0.12603 231.03 256.23 1.03105 0.17331 234.42 260.41 1.0738 0.12868 233.78 259.51 1.0438
10 0.17674 237.15 263.66 1.0854 0.13132 236.54 262.81 1.055515 0.18015 239.91 266.93 1.0968 0.13393 239.33 266.12 1.067120 0.18355 242.69 270.22 1.1081 0.13653 242.14 269.44 1.078625 0.18693 245.49 273.53 1.1193 0.13912 244.97 272.79 1.0899
##
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Tables in SI Units 733
TABLE A-9 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 2.5 bar � 0.25 MPa p � 3.0 bar � 0.30 MPa(Tsat � �19.51�C) (Tsat � �14.66�C)
Sat. 0.09097 219.55 242.29 0.9586 0.07651 221.34 244.29 0.9502�15 0.09303 222.03 245.29 0.9703�10 0.09528 224.79 248.61 0.9831 0.07833 223.96 247.46 0.9623
�5 0.09751 227.55 251.93 0.9956 0.08025 226.78 250.86 0.97510 0.09971 230.33 255.26 1.0078 0.08214 229.61 254.25 0.98765 0.10189 233.12 258.59 1.0199 0.08400 232.44 257.64 0.9999
10 0.10405 235.92 261.93 1.0318 0.08585 235.28 261.04 1.012015 0.10619 238.74 265.29 1.0436 0.08767 238.14 264.44 1.023920 0.10831 241.58 268.66 1.0552 0.08949 241.01 267.85 1.0357
25 0.11043 244.44 272.04 1.0666 0.09128 243.89 271.28 1.047230 0.11253 247.31 275.44 1.0779 0.09307 246.80 274.72 1.058735 0.11461 250.21 278.86 1.0891 0.09484 249.72 278.17 1.070040 0.11669 253.13 282.30 1.1002 0.09660 252.66 281.64 1.0811
p � 3.5 bar � 0.35 MPa p � 4.0 bar � 0.40 MPa(Tsat � �10.39�C) (Tsat � �6.56�C)
Sat. 0.06605 222.88 246.00 0.9431 0.05812 224.24 247.48 0.9370�10 0.06619 223.10 246.27 0.9441�5 0.06789 225.99 249.75 0.9572 0.05860 225.16 248.60 0.9411
0 0.06956 228.86 253.21 0.9700 0.06011 228.09 252.14 0.95425 0.07121 231.74 256.67 0.9825 0.06160 231.02 225.66 0.9670
10 0.07284 234.63 260.12 0.9948 0.06306 233.95 259.18 0.9795
15 0.07444 237.52 263.57 1.0069 0.06450 236.89 262.69 0.991820 0.07603 240.42 267.03 1.0188 0.06592 239.83 266.19 1.003925 0.07760 243.34 270.50 1.0305 0.06733 242.77 269.71 1.0158
30 0.07916 246.27 273.97 1.0421 0.06872 245.73 273.22 1.027435 0.08070 249.22 227.46 1.0535 0.07010 248.71 276.75 1.039040 0.08224 252.18 280.97 1.0648 0.07146 251.70 280.28 1.050445 0.08376 255.17 284.48 1.0759 0.07282 254.70 283.83 1.0616
p � 4.5 bar � 0.45 MPa p � 5.0 bar � 0.50 MPa(Tsat � �3.08�C) (Tsat � 0.12�C)
Sat. 0.05189 225.45 248.80 0.9316 0.04686 226.54 249.97 0.92690 0.05275 227.29 251.03 0.93995 0.05411 230.28 254.63 0.9529 0.04810 229.52 253.57 0.9399
10 0.05545 233.26 258.21 0.9657 0.04934 232.55 257.22 0.953015 0.05676 236.24 261.78 0.9782 0.05056 235.57 260.85 0.965720 0.05805 239.22 265.34 0.9904 0.05175 238.59 264.47 0.9781
25 0.05933 242.20 268.90 1.0025 0.05293 241.61 268.07 0.990330 0.06059 245.19 272.46 1.0143 0.05409 244.63 271.68 1.002335 0.06184 248.19 276.02 1.0259 0.05523 247.66 275.28 1.0141
40 0.06308 251.20 279.59 1.0374 0.05636 250.70 278.89 1.025745 0.06430 254.23 283.17 1.0488 0.05748 253.76 282.50 1.037150 0.06552 257.28 286.76 1.0600 0.05859 256.82 286.12 1.048455 0.06672 260.34 290.36 1.0710 0.05969 259.90 289.75 1.0595
##
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734 Tables in SI Units
TABLE A-9 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 5.5 bar � 0.55 MPa p � 6.0 bar � 0.60 MPa(Tsat � 3.08�C) (Tsat � 5.85�C)
Sat. 0.04271 227.53 251.02 0.9226 0.03923 228.44 251.98 0.91865 0.04317 228.72 252.46 0.9278
10 0.04433 231.81 256.20 0.9411 0.04015 231.05 255.14 0.929915 0.04547 234.89 259.90 0.9540 0.04122 234.18 258.91 0.9431
20 0.04658 237.95 263.57 0.9667 0.04227 237.29 262.65 0.956025 0.04768 241.01 267.23 0.9790 0.04330 240.39 266.37 0.968530 0.04875 244.07 270.88 0.9912 0.04431 243.49 270.07 0.9808
35 0.04982 247.13 274.53 1.0031 0.04530 246.58 273.76 0.992940 0.05086 250.20 278.17 1.0148 0.04628 249.68 277.45 1.004845 0.05190 253.27 281.82 1.0264 0.04724 252.78 281.13 1.0164
50 0.05293 256.36 285.47 1.0378 0.04820 255.90 284.82 1.027955 0.05394 259.46 289.13 1.0490 0.04914 259.02 288.51 1.039360 0.05495 262.58 292.80 1.0601 0.05008 262.15 292.20 1.0504
p � 7.0 bar � 0.70 MPa p � 8.0 bar � 0.80 MPa(Tsat � 10.91�C) (Tsat � 15.45�C)
Sat. 0.03371 230.04 253.64 0.9117 0.02953 231.43 255.05 0.905615 0.03451 232.70 256.86 0.922920 0.03547 235.92 260.75 0.9363 0.03033 234.47 258.74 0.9182
25 0.03639 239.12 264.59 0.9493 0.03118 237.76 262.70 0.931530 0.03730 242.29 268.40 0.9619 0.03202 241.04 266.66 0.944835 0.03819 245.46 272.19 0.9743 0.03283 244.28 270.54 0.9574
40 0.03906 248.62 275.96 0.9865 0.03363 247.52 274.42 0.970045 0.03992 251.78 279.72 0.9984 0.03440 250.74 278.26 0.982150 0.04076 254.94 283.48 1.0101 0.03517 253.96 282.10 0.9941
55 0.04160 258.11 287.23 1.0216 0.03592 257.18 285.92 1.005860 0.04242 261.29 290.99 1.0330 0.03667 260.40 289.74 1.017465 0.04324 264.48 294.75 1.0442 0.03741 263.64 293.56 1.028770 0.04405 267.68 298.51 1.0552 0.03814 266.87 297.38 1.0400
p � 9.0 bar � 0.90 MPa p � 10.0 bar � 1.00 MPa(Tsat � 19.59�C) (Tsat � 23.40�C)
Sat. 0.02623 232.64 256.25 0.9001 0.02358 233.71 257.28 0.895220 0.02630 232.92 256.59 0.901330 0.02789 239.73 264.83 0.9289 0.02457 238.34 262.91 0.9139
40 0.02939 246.37 272.82 0.9549 0.02598 245.18 271.17 0.940750 0.03082 252.95 280.68 0.9795 0.02732 251.90 279.22 0.966060 0.03219 259.49 288.46 1.0033 0.02860 258.56 287.15 0.9902
70 0.03353 266.04 296.21 1.0262 0.02984 265.19 295.03 1.013580 0.03483 272.62 303.96 1.0484 0.03104 271.84 302.88 1.036190 0.03611 279.23 311.73 1.0701 0.03221 278.52 310.74 1.0580
100 0.03736 285.90 319.53 1.0913 0.03337 285.24 318.61 1.0794110 0.03860 292.63 327.37 1.1120 0.03450 292.02 326.52 1.1003120 0.03982 299.42 335.26 1.1323 0.03562 298.85 334.46 1.1207
130 0.04103 306.28 343.21 1.1523 0.03672 305.74 342.46 1.1408140 0.04223 313.21 351.22 1.1719 0.03781 312.70 350.51 1.1605150 0.04342 320.21 359.29 1.1912 0.03889 319.74 358.63 1.1790
##
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2
TABLE A-9 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 12.0 bar � 1.20 MPa p � 14.0 bar � 1.40 MPa(Tsat � 30.25�C) (Tsat � 36.29�C)
Sat. 0.01955 235.48 258.94 0.8864 0.01662 236.89 260.16 0.878640 0.02083 242.63 267.62 0.9146 0.01708 239.78 263.70 0.890050 0.02204 249.69 276.14 0.9413 0.01823 247.29 272.81 0.9186
60 0.02319 256.60 284.43 0.9666 0.01929 254.52 281.53 0.945270 0.02428 263.44 292.58 0.9907 0.02029 261.60 290.01 0.970380 0.02534 270.25 300.66 1.0139 0.02125 268.60 298.34 0.9942
90 0.02636 277.07 308.70 1.0363 0.02217 275.56 306.60 1.0172100 0.02736 283.90 316.73 1.0582 0.02306 282.52 314.80 1.0395110 0.02834 290.77 324.78 1.0794 0.02393 289.49 323.00 1.0612
120 0.02930 297.69 332.85 1.1002 0.02478 296.50 331.19 1.0823130 0.03024 304.65 340.95 1.1205 0.02562 303.55 339.41 1.1029140 0.03118 311.68 349.09 1.1405 0.02644 310.64 347.65 1.1231
150 0.03210 318.77 357.29 1.1601 0.02725 317.79 355.94 1.1429160 0.03301 325.92 365.54 1.1793 0.02805 324.99 364.26 1.1624170 0.03392 333.14 373.84 1.1983 0.02884 332.26 372.64 1.1815
p � 16.0 bar � 1.60 MPa p � 18.0 bar � 1.80 MPa(Tsat � 41.73�C) (Tsat � 46.69�C)
Sat. 0.01440 238.00 261.04 0.8715 0.01265 238.86 261.64 0.864950 0.01533 244.66 269.18 0.8971 0.01301 241.72 265.14 0.875860 0.01634 252.29 278.43 0.9252 0.01401 249.86 275.09 0.9061
70 0.01728 259.65 287.30 0.9515 0.01492 257.57 284.43 0.933780 0.01817 266.86 295.93 0.9762 0.01576 265.04 293.40 0.959590 0.01901 274.00 304.42 0.9999 0.01655 272.37 302.16 0.9839
100 0.01983 281.09 312.82 1.0228 0.01731 279.62 310.77 1.0073110 0.02062 288.18 321.17 1.0448 0.01804 286.83 319.30 1.0299120 0.02139 295.28 329.51 1.0663 0.01874 294.04 327.78 1.0517
130 0.02214 302.41 337.84 1.0872 0.01943 301.26 336.24 1.0730140 0.02288 309.58 346.19 1.1077 0.02011 308.50 344.70 1.0937150 0.02361 316.79 354.56 1.1277 0.02077 315.78 353.17 1.1139
160 0.02432 324.05 362.97 1.1473 0.02142 323.10 361.66 1.1338170 0.02503 331.37 371.42 1.1666 0.02207 330.47 370.19 1.1532
p � 20.0 bar � 2.00 MPa p � 24.0 bar � 2.4 MPa(Tsat � 51.26�C) (Tsat � 59.46�C)
Sat. 0.01124 239.51 261.98 0.8586 0.00907 240.22 261.99 0.846360 0.01212 247.20 271.43 0.8873 0.00913 240.78 262.68 0.848470 0.01300 255.35 281.36 0.9167 0.01006 250.30 274.43 0.8831
80 0.01381 263.12 290.74 0.9436 0.01085 258.89 284.93 0.913390 0.01457 270.67 299.80 0.9689 0.01156 267.01 294.75 0.9407
100 0.01528 278.09 308.65 0.9929 0.01222 274.85 304.18 0.9663
110 0.01596 285.44 317.37 1.0160 0.01284 282.53 313.35 0.9906120 0.01663 292.76 326.01 1.0383 0.01343 290.11 322.35 1.0137130 0.01727 300.08 334.61 1.0598 0.01400 297.64 331.25 1.0361
140 0.01789 307.40 343.19 1.0808 0.01456 305.14 340.08 1.0577150 0.01850 314.75 351.76 1.1013 0.01509 312.64 348.87 1.0787160 0.01910 322.14 360.34 1.1214 0.01562 320.16 357.64 1.0992
170 0.01969 329.56 368.95 1.1410 0.01613 327.70 366.41 1.1192180 0.02027 337.03 377.58 1.1603 0.01663 335.27 375.20 1.1388
##
735
736 Tables in SI Units
TABLE A-10 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Temperature Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
�40 0.5164 0.7055 0.3569 �0.04 204.45 0.00 222.88 222.88 0.0000 0.9560 �40�36 0.6332 0.7113 0.2947 4.68 206.73 4.73 220.67 225.40 0.0201 0.9506 �36�32 0.7704 0.7172 0.2451 9.47 209.01 9.52 218.37 227.90 0.0401 0.9456 �32�28 0.9305 0.7233 0.2052 14.31 211.29 14.37 216.01 230.38 0.0600 0.9411 �28�26 1.0199 0.7265 0.1882 16.75 212.43 16.82 214.80 231.62 0.0699 0.9390 �26
�24 1.1160 0.7296 0.1728 19.21 213.57 19.29 213.57 232.85 0.0798 0.9370 �24�22 1.2192 0.7328 0.1590 21.68 214.70 21.77 212.32 234.08 0.0897 0.9351 �22�20 1.3299 0.7361 0.1464 24.17 215.84 24.26 211.05 235.31 0.0996 0.9332 �20�18 1.4483 0.7395 0.1350 26.67 216.97 26.77 209.76 236.53 0.1094 0.9315 �18�16 1.5748 0.7428 0.1247 29.18 218.10 29.30 208.45 237.74 0.1192 0.9298 �16
�12 1.8540 0.7498 0.1068 34.25 220.36 34.39 205.77 240.15 0.1388 0.9267 �12�8 2.1704 0.7569 0.0919 39.38 222.60 39.54 203.00 242.54 0.1583 0.9239 �8�4 2.5274 0.7644 0.0794 44.56 224.84 44.75 200.15 244.90 0.1777 0.9213 �4
0 2.9282 0.7721 0.0689 49.79 227.06 50.02 197.21 247.23 0.1970 0.9190 04 3.3765 0.7801 0.0600 55.08 229.27 55.35 194.19 249.53 0.2162 0.9169 4
8 3.8756 0.7884 0.0525 60.43 231.46 60.73 191.07 251.80 0.2354 0.9150 812 4.4294 0.7971 0.0460 65.83 233.63 66.18 187.85 254.03 0.2545 0.9132 1216 5.0416 0.8062 0.0405 71.29 235.78 71.69 184.52 256.22 0.2735 0.9116 1620 5.7160 0.8157 0.0358 76.80 237.91 77.26 181.09 258.36 0.2924 0.9102 2024 6.4566 0.8257 0.0317 82.37 240.01 82.90 177.55 260.45 0.3113 0.9089 24
26 6.8530 0.8309 0.0298 85.18 241.05 85.75 175.73 261.48 0.3208 0.9082 2628 7.2675 0.8362 0.0281 88.00 242.08 88.61 173.89 262.50 0.3302 0.9076 2830 7.7006 0.8417 0.0265 90.84 243.10 91.49 172.00 263.50 0.3396 0.9070 3032 8.1528 0.8473 0.0250 93.70 244.12 94.39 170.09 264.48 0.3490 0.9064 3234 8.6247 0.8530 0.0236 96.58 245.12 97.31 168.14 265.45 0.3584 0.9058 34
36 9.1168 0.8590 0.0223 99.47 246.11 100.25 166.15 266.40 0.3678 0.9053 3638 9.6298 0.8651 0.0210 102.38 247.09 103.21 164.12 267.33 0.3772 0.9047 3840 10.164 0.8714 0.0199 105.30 248.06 106.19 162.05 268.24 0.3866 0.9041 4042 10.720 0.8780 0.0188 108.25 249.02 109.19 159.94 269.14 0.3960 0.9035 4244 11.299 0.8847 0.0177 111.22 249.96 112.22 157.79 270.01 0.4054 0.9030 44
48 12.526 0.8989 0.0159 117.22 251.79 118.35 153.33 271.68 0.4243 0.9017 4852 13.851 0.9142 0.0142 123.31 253.55 124.58 148.66 273.24 0.4432 0.9004 5256 15.278 0.9308 0.0127 129.51 255.23 130.93 143.75 274.68 0.4622 0.8990 5660 16.813 0.9488 0.0114 135.82 256.81 137.42 138.57 275.99 0.4814 0.8973 60
70 21.162 1.0027 0.0086 152.22 260.15 154.34 124.08 278.43 0.5302 0.8918 7080 26.324 1.0766 0.0064 169.88 262.14 172.71 106.41 279.12 0.5814 0.8827 8090 32.435 1.1949 0.0046 189.82 261.34 193.69 82.63 276.32 0.6380 0.8655 90
100 39.742 1.5443 0.0027 218.60 248.49 224.74 34.40 259.13 0.7196 0.8117 100
Source: Tables A-10 through A-12 are calculated based on equations from D. P. Wilson and R. S. Basu, “Thermodynamic Properties of a NewStratospherically Safe Working Fluid—Refrigerant 134a,” ASHRAE Trans., Vol. 94, Pt. 2, 1988, pp. 2095–2118.
#
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34a
Tables in SI Units 737
TABLE A-11 Properties of Saturated Refrigerant 134a (Liquid–Vapor): Pressure Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
0.6 �37.07 0.7097 0.3100 3.41 206.12 3.46 221.27 224.72 0.0147 0.9520 0.60.8 �31.21 0.7184 0.2366 10.41 209.46 10.47 217.92 228.39 0.0440 0.9447 0.81.0 �26.43 0.7258 0.1917 16.22 212.18 16.29 215.06 231.35 0.0678 0.9395 1.01.2 �22.36 0.7323 0.1614 21.23 214.50 21.32 212.54 233.86 0.0879 0.9354 1.21.4 �18.80 0.7381 0.1395 25.66 216.52 25.77 210.27 236.04 0.1055 0.9322 1.4
1.6 �15.62 0.7435 0.1229 29.66 218.32 29.78 208.19 237.97 0.1211 0.9295 1.61.8 �12.73 0.7485 0.1098 33.31 219.94 33.45 206.26 239.71 0.1352 0.9273 1.82.0 �10.09 0.7532 0.0993 36.69 221.43 36.84 204.46 241.30 0.1481 0.9253 2.02.4 �5.37 0.7618 0.0834 42.77 224.07 42.95 201.14 244.09 0.1710 0.9222 2.42.8 �1.23 0.7697 0.0719 48.18 226.38 48.39 198.13 246.52 0.1911 0.9197 2.8
3.2 2.48 0.7770 0.0632 53.06 228.43 53.31 195.35 248.66 0.2089 0.9177 3.23.6 5.84 0.7839 0.0564 57.54 230.28 57.82 192.76 250.58 0.2251 0.9160 3.64.0 8.93 0.7904 0.0509 61.69 231.97 62.00 190.32 252.32 0.2399 0.9145 4.05.0 15.74 0.8056 0.0409 70.93 235.64 71.33 184.74 256.07 0.2723 0.9117 5.06.0 21.58 0.8196 0.0341 78.99 238.74 79.48 179.71 259.19 0.2999 0.9097 6.0
7.0 26.72 0.8328 0.0292 86.19 241.42 86.78 175.07 261.85 0.3242 0.9080 7.08.0 31.33 0.8454 0.0255 92.75 243.78 93.42 170.73 264.15 0.3459 0.9066 8.09.0 35.53 0.8576 0.0226 98.79 245.88 99.56 166.62 266.18 0.3656 0.9054 9.0
10.0 39.39 0.8695 0.0202 104.42 247.77 105.29 162.68 267.97 0.3838 0.9043 10.012.0 46.32 0.8928 0.0166 114.69 251.03 115.76 155.23 270.99 0.4164 0.9023 12.0
14.0 52.43 0.9159 0.0140 123.98 253.74 125.26 148.14 273.40 0.4453 0.9003 14.016.0 57.92 0.9392 0.0121 132.52 256.00 134.02 141.31 275.33 0.4714 0.8982 16.018.0 62.91 0.9631 0.0105 140.49 257.88 142.22 134.60 276.83 0.4954 0.8959 18.020.0 67.49 0.9878 0.0093 148.02 259.41 149.99 127.95 277.94 0.5178 0.8934 20.025.0 77.59 1.0562 0.0069 165.48 261.84 168.12 111.06 279.17 0.5687 0.8854 25.030.0 86.22 1.1416 0.0053 181.88 262.16 185.30 92.71 278.01 0.6156 0.8735 30.0
#
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738 Tables in SI Units
TABLE A-12 Properties of Superheated Refrigerant 134a Vapor
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 0.6 bar � 0.06 MPa p � 1.0 bar � 0.10 MPa(Tsat � �37.07�C) (Tsat � �26.43�C)
Sat. 0.31003 206.12 224.72 0.9520 0.19170 212.18 231.35 0.9395�20 0.33536 217.86 237.98 1.0062 0.19770 216.77 236.54 0.9602�10 0.34992 224.97 245.96 1.0371 0.20686 224.01 244.70 0.9918
0 0.36433 232.24 254.10 1.0675 0.21587 231.41 252.99 1.022710 0.37861 239.69 262.41 1.0973 0.22473 238.96 261.43 1.053120 0.39279 247.32 270.89 1.1267 0.23349 246.67 270.02 1.0829
30 0.40688 255.12 279.53 1.1557 0.24216 254.54 278.76 1.112240 0.42091 263.10 288.35 1.1844 0.25076 262.58 287.66 1.141150 0.43487 271.25 297.34 1.2126 0.25930 270.79 296.72 1.1696
60 0.44879 279.58 306.51 1.2405 0.26779 279.16 305.94 1.197770 0.46266 288.08 315.84 1.2681 0.27623 287.70 315.32 1.225480 0.47650 296.75 325.34 1.2954 0.28464 296.40 324.87 1.252890 0.49031 305.58 335.00 1.3224 0.29302 305.27 334.57 1.2799
p � 1.4 bar � 0.14 MPa p � 1.8 bar � 0.18 MPa(Tsat � �18.80�C) (Tsat � �12.73�C)
Sat. 0.13945 216.52 236.04 0.9322 0.10983 219.94 239.71 0.9273�10 0.14549 223.03 243.40 0.9606 0.11135 222.02 242.06 0.9362
0 0.15219 230.55 251.86 0.9922 0.11678 229.67 250.69 0.9684
10 0.15875 238.21 260.43 1.0230 0.12207 237.44 259.41 0.999820 0.16520 246.01 269.13 1.0532 0.12723 245.33 268.23 1.030430 0.17155 253.96 277.97 1.0828 0.13230 253.36 277.17 1.0604
40 0.17783 262.06 286.96 1.1120 0.13730 261.53 286.24 1.089850 0.18404 270.32 296.09 1.1407 0.14222 269.85 295.45 1.118760 0.19020 278.74 305.37 1.1690 0.14710 278.31 304.79 1.1472
70 0.19633 287.32 314.80 1.1969 0.15193 286.93 314.28 1.175380 0.20241 296.06 324.39 1.2244 0.15672 295.71 323.92 1.203090 0.20846 304.95 334.14 1.2516 0.16148 304.63 333.70 1.2303
100 0.21449 314.01 344.04 1.2785 0.16622 313.72 343.63 1.2573
p � 2.0 bar � 0.20 MPa p � 2.4 bar � 0.24 MPa(Tsat � �10.09�C) (Tsat � �5.37�C)
Sat. 0.09933 221.43 241.30 0.9253 0.08343 224.07 244.09 0.9222�10 0.09938 221.50 241.38 0.9256
0 0.10438 229.23 250.10 0.9582 0.08574 228.31 248.89 0.9399
10 0.10922 237.05 258.89 0.9898 0.08993 236.26 257.84 0.972120 0.11394 244.99 267.78 1.0206 0.09399 244.30 266.85 1.003430 0.11856 253.06 276.77 1.0508 0.09794 252.45 275.95 1.0339
40 0.12311 261.26 285.88 1.0804 0.10181 260.72 285.16 1.063750 0.12758 269.61 295.12 1.1094 0.10562 269.12 294.47 1.093060 0.13201 278.10 304.50 1.1380 0.10937 277.67 303.91 1.1218
70 0.13639 286.74 314.02 1.1661 0.11307 286.35 313.49 1.150180 0.14073 295.53 323.68 1.1939 0.11674 295.18 323.19 1.178090 0.14504 304.47 333.48 1.2212 0.12037 304.15 333.04 1.2055
100 0.14932 313.57 343.43 1.2483 0.12398 313.27 343.03 1.2326
##
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34a
739
TABLE A-12 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 2.8 bar � 0.28 MPa p � 3.2 bar � 0.32 MPa(Tsat � �1.23�C) (Tsat � 2.48�C)
Sat. 0.07193 226.38 246.52 0.9197 0.06322 228.43 248.66 0.91770 0.07240 227.37 247.64 0.9238
10 0.07613 235.44 256.76 0.9566 0.06576 234.61 255.65 0.9427
20 0.07972 243.59 265.91 0.9883 0.06901 242.87 264.95 0.974930 0.08320 251.83 275.12 1.0192 0.07214 251.19 274.28 1.006240 0.08660 260.17 284.42 1.0494 0.07518 259.61 283.67 1.0367
50 0.08992 268.64 293.81 1.0789 0.07815 268.14 293.15 1.066560 0.09319 277.23 303.32 1.1079 0.08106 276.79 302.72 1.095770 0.09641 285.96 312.95 1.1364 0.08392 285.56 312.41 1.1243
80 0.09960 294.82 322.71 1.1644 0.08674 294.46 322.22 1.152590 0.10275 303.83 332.60 1.1920 0.08953 303.50 332.15 1.1802
100 0.10587 312.98 342.62 1.2193 0.09229 312.68 342.21 1.2076
110 0.10897 322.27 352.78 1.2461 0.09503 322.00 352.40 1.2345120 0.11205 331.71 363.08 1.2727 0.09774 331.45 362.73 1.2611
p � 4.0 bar � 0.40 MPa p � 5.0 bar � 0.50 MPa(Tsat � 8.93�C) (Tsat � 15.74�C)
Sat. 0.05089 231.97 252.32 0.9145 0.04086 235.64 256.07 0.911710 0.05119 232.87 253.35 0.918220 0.05397 241.37 262.96 0.9515 0.04188 239.40 260.34 0.9264
30 0.05662 249.89 272.54 0.9837 0.04416 248.20 270.28 0.959740 0.05917 258.47 282.14 1.0148 0.04633 256.99 280.16 0.991850 0.06164 267.13 291.79 1.0452 0.04842 265.83 290.04 1.0229
60 0.06405 275.89 301.51 1.0748 0.05043 274.73 299.95 1.053170 0.06641 284.75 311.32 1.1038 0.05240 283.72 309.92 1.082580 0.06873 293.73 321.23 1.1322 0.05432 292.80 319.96 1.1114
90 0.07102 302.84 331.25 1.1602 0.05620 302.00 330.10 1.1397100 0.07327 312.07 341.38 1.1878 0.05805 311.31 340.33 1.1675110 0.07550 321.44 351.64 1.2149 0.05988 320.74 350.68 1.1949
120 0.07771 330.94 362.03 1.2417 0.06168 330.30 361.14 1.2218130 0.07991 340.58 372.54 1.2681 0.06347 339.98 371.72 1.2484140 0.08208 350.35 383.18 1.2941 0.06524 349.79 382.42 1.2746
p � 6.0 bar � 0.60 MPa p � 7.0 bar � 0.70 MPa(Tsat � 21.58�C) (Tsat � 26.72�C)
Sat. 0.03408 238.74 259.19 0.9097 0.02918 241.42 261.85 0.908030 0.03581 246.41 267.89 0.9388 0.02979 244.51 265.37 0.919740 0.03774 255.45 278.09 0.9719 0.03157 253.83 275.93 0.9539
50 0.03958 264.48 288.23 1.0037 0.03324 263.08 286.35 0.986760 0.04134 273.54 298.35 1.0346 0.03482 272.31 296.69 1.018270 0.04304 282.66 308.48 1.0645 0.03634 281.57 307.01 1.0487
80 0.04469 291.86 318.67 1.0938 0.03781 290.88 317.35 1.078490 0.04631 301.14 328.93 1.1225 0.03924 300.27 327.74 1.1074
100 0.04790 310.53 339.27 1.1505 0.04064 309.74 338.19 1.1358
110 0.04946 320.03 349.70 1.1781 0.04201 319.31 348.71 1.1637120 0.05099 329.64 360.24 1.2053 0.04335 328.98 359.33 1.1910130 0.05251 339.38 370.88 1.2320 0.04468 338.76 370.04 1.2179
140 0.05402 349.23 381.64 1.2584 0.04599 348.66 380.86 1.2444150 0.05550 359.21 392.52 1.2844 0.04729 358.68 391.79 1.2706160 0.05698 369.32 403.51 1.3100 0.04857 368.82 402.82 1.2963
##
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34a
TABLE A-12 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 8.0 bar � 0.80 MPa p � 9.0 bar � 0.90 MPa(Tsat � 31.33�C) (Tsat � 35.53�C)
Sat. 0.02547 243.78 264.15 0.9066 0.02255 245.88 266.18 0.905440 0.02691 252.13 273.66 0.9374 0.02325 250.32 271.25 0.921750 0.02846 261.62 284.39 0.9711 0.02472 260.09 282.34 0.956660 0.02992 271.04 294.98 1.0034 0.02609 269.72 293.21 0.989770 0.03131 280.45 305.50 1.0345 0.02738 279.30 303.94 1.021480 0.03264 289.89 316.00 1.0647 0.02861 288.87 314.62 1.052190 0.03393 299.37 326.52 1.0940 0.02980 298.46 325.28 1.0819
100 0.03519 308.93 337.08 1.1227 0.03095 308.11 335.96 1.1109110 0.03642 318.57 347.71 1.1508 0.03207 317.82 346.68 1.1392120 0.03762 328.31 358.40 1.1784 0.03316 327.62 357.47 1.1670130 0.03881 338.14 369.19 1.2055 0.03423 337.52 368.33 1.1943140 0.03997 348.09 380.07 1.2321 0.03529 347.51 379.27 1.2211150 0.04113 358.15 391.05 1.2584 0.03633 357.61 390.31 1.2475160 0.04227 368.32 402.14 1.2843 0.03736 367.82 401.44 1.2735170 0.04340 378.61 413.33 1.3098 0.03838 378.14 412.68 1.2992180 0.04452 389.02 424.63 1.3351 0.03939 388.57 424.02 1.3245
p � 10.0 bar � 1.00 MPa p � 12.0 bar � 1.20 MPa(Tsat � 39.39�C) (Tsat � 46.32�C)
Sat. 0.02020 247.77 267.97 0.9043 0.01663 251.03 270.99 0.902340 0.02029 248.39 268.68 0.906650 0.02171 258.48 280.19 0.9428 0.01712 254.98 275.52 0.916460 0.02301 268.35 291.36 0.9768 0.01835 265.42 287.44 0.952770 0.02423 278.11 302.34 1.0093 0.01947 275.59 298.96 0.986880 0.02538 287.82 313.20 1.0405 0.02051 285.62 310.24 1.019290 0.02649 297.53 324.01 1.0707 0.02150 295.59 321.39 1.0503
100 0.02755 307.27 334.82 1.1000 0.02244 305.54 332.47 1.0804110 0.02858 317.06 345.65 1.1286 0.02335 315.50 343.52 1.1096120 0.02959 326.93 356.52 1.1567 0.02423 325.51 354.58 1.1381130 0.03058 336.88 367.46 1.1841 0.02508 335.58 365.68 1.1660140 0.03154 346.92 378.46 1.2111 0.02592 345.73 376.83 1.1933150 0.03250 357.06 389.56 1.2376 0.02674 355.95 388.04 1.2201160 0.03344 367.31 400.74 1.2638 0.02754 366.27 399.33 1.2465170 0.03436 377.66 412.02 1.2895 0.02834 376.69 410.70 1.2724180 0.03528 388.12 423.40 1.3149 0.02912 387.21 422.16 1.2980
p � 14.0 bar � 1.40 MPa p � 16.0 bar � 1.60 MPa(Tsat � 52.43�C) (Tsat � 57.92�C)
Sat. 0.01405 253.74 273.40 0.9003 0.01208 256.00 275.33 0.898260 0.01495 262.17 283.10 0.9297 0.01233 258.48 278.20 0.906970 0.01603 272.87 295.31 0.9658 0.01340 269.89 291.33 0.945780 0.01701 283.29 307.10 0.9997 0.01435 280.78 303.74 0.981390 0.01792 293.55 318.63 1.0319 0.01521 291.39 315.72 1.0148
100 0.01878 303.73 330.02 1.0628 0.01601 301.84 327.46 1.0467110 0.01960 313.88 341.32 1.0927 0.01677 312.20 339.04 1.0773120 0.02039 324.05 352.59 1.1218 0.01750 322.53 350.53 1.1069130 0.02115 334.25 363.86 1.1501 0.01820 332.87 361.99 1.1357140 0.02189 344.50 375.15 1.1777 0.01887 343.24 373.44 1.1638150 0.02262 354.82 386.49 1.2048 0.01953 353.66 384.91 1.1912160 0.02333 365.22 397.89 1.2315 0.02017 364.15 396.43 1.2181170 0.02403 375.71 409.36 1.2576 0.02080 374.71 407.99 1.2445180 0.02472 386.29 420.90 1.2834 0.02142 385.35 419.62 1.2704190 0.02541 396.96 432.53 1.3088 0.02203 396.08 431.33 1.2960200 0.02608 407.73 444.24 1.3338 0.02263 406.90 443.11 1.3212
##
R-1
34a
740
Tables in SI Units 741
TABLE A-13 Properties of Saturated Ammonia (Liquid–Vapor): Temperature Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
�50 0.4086 1.4245 2.6265 �43.94 1264.99 �43.88 1416.20 1372.32 �0.1922 6.1543 �50�45 0.5453 1.4367 2.0060 �22.03 1271.19 �21.95 1402.52 1380.57 �0.0951 6.0523 �45�40 0.7174 1.4493 1.5524 �0.10 1277.20 0.00 1388.56 1388.56 0.0000 5.9557 �40�36 0.8850 1.4597 1.2757 17.47 1281.87 17.60 1377.17 1394.77 0.0747 5.8819 �36�32 1.0832 1.4703 1.0561 35.09 1286.41 35.25 1365.55 1400.81 0.1484 5.8111 �32
�30 1.1950 1.4757 0.9634 43.93 1288.63 44.10 1359.65 1403.75 0.1849 5.7767 �30�28 1.3159 1.4812 0.8803 52.78 1290.82 52.97 1353.68 1406.66 0.2212 5.7430 �28�26 1.4465 1.4867 0.8056 61.65 1292.97 61.86 1347.65 1409.51 0.2572 5.7100 �26�22 1.7390 1.4980 0.6780 79.46 1297.18 79.72 1335.36 1415.08 0.3287 5.6457 �22�20 1.9019 1.5038 0.6233 88.40 1299.23 88.68 1329.10 1417.79 0.3642 5.6144 �20
�18 2.0769 1.5096 0.5739 97.36 1301.25 97.68 1322.77 1420.45 0.3994 5.5837 �18�16 2.2644 1.5155 0.5291 106.36 1303.23 106.70 1316.35 1423.05 0.4346 5.5536 �16�14 2.4652 1.5215 0.4885 115.37 1305.17 115.75 1309.86 1425.61 0.4695 5.5239 �14�12 2.6798 1.5276 0.4516 124.42 1307.08 124.83 1303.28 1428.11 0.5043 5.4948 �12�10 2.9089 1.5338 0.4180 133.50 1308.95 133.94 1296.61 1430.55 0.5389 5.4662 �10
�8 3.1532 1.5400 0.3874 142.60 1310.78 143.09 1289.86 1432.95 0.5734 5.4380 �8�6 3.4134 1.5464 0.3595 151.74 1312.57 152.26 1283.02 1435.28 0.6077 5.4103 �6�4 3.6901 1.5528 0.3340 160.88 1314.32 161.46 1276.10 1437.56 0.6418 5.3831 �4�2 3.9842 1.5594 0.3106 170.07 1316.04 170.69 1269.08 1439.78 0.6759 5.3562 �2
0 4.2962 1.5660 0.2892 179.29 1317.71 179.96 1261.97 1441.94 0.7097 5.3298 0
2 4.6270 1.5727 0.2695 188.53 1319.34 189.26 1254.77 1444.03 0.7435 5.3038 24 4.9773 1.5796 0.2514 197.80 1320.92 198.59 1247.48 1446.07 0.7770 5.2781 46 5.3479 1.5866 0.2348 207.10 1322.47 207.95 1240.09 1448.04 0.8105 5.2529 68 5.7395 1.5936 0.2195 216.42 1323.96 217.34 1232.61 1449.94 0.8438 5.2279 8
10 6.1529 1.6008 0.2054 225.77 1325.42 226.75 1225.03 1451.78 0.8769 5.2033 10
12 6.5890 1.6081 0.1923 235.14 1326.82 236.20 1217.35 1453.55 0.9099 5.1791 1216 7.5324 1.6231 0.1691 253.95 1329.48 255.18 1201.70 1456.87 0.9755 5.1314 1620 8.5762 1.6386 0.1492 272.86 1331.94 274.26 1185.64 1459.90 1.0404 5.0849 2024 9.7274 1.6547 0.1320 291.84 1334.19 293.45 1169.16 1462.61 1.1048 5.0394 2428 10.993 1.6714 0.1172 310.92 1336.20 312.75 1152.24 1465.00 1.1686 4.9948 28
32 12.380 1.6887 0.1043 330.07 1337.97 332.17 1134.87 1467.03 1.2319 4.9509 3236 13.896 1.7068 0.0930 349.32 1339.47 351.69 1117.00 1468.70 1.2946 4.9078 3640 15.549 1.7256 0.0831 368.67 1340.70 371.35 1098.62 1469.97 1.3569 4.8652 4045 17.819 1.7503 0.0725 393.01 1341.81 396.13 1074.84 1470.96 1.4341 4.8125 4550 20.331 1.7765 0.0634 417.56 1342.42 421.17 1050.09 1471.26 1.5109 4.7604 50
Source: Tables A-13 through A-15 are calculated based on equations from L. Haar and J. S. Gallagher, “Thermodynamic Properties of Ammonia,”J. Phys. Chem. Reference Data, Vol. 7, 1978, pp. 635–792.
#
Am
mon
ia
742 Tables in SI Units
TABLE A-14 Properties of Saturated Ammonia (Liquid–Vapor): Pressure Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
0.40 �50.36 1.4236 2.6795 �45.52 1264.54 �45.46 1417.18 1371.72 �0.1992 6.1618 0.400.50 �46.53 1.4330 2.1752 �28.73 1269.31 �28.66 1406.73 1378.07 �0.1245 6.0829 0.500.60 �43.28 1.4410 1.8345 �14.51 1273.27 �14.42 1397.76 1383.34 �0.0622 6.0186 0.600.70 �40.46 1.4482 1.5884 �2.11 1276.66 �2.01 1389.85 1387.84 �0.0086 5.9643 0.700.80 �37.94 1.4546 1.4020 8.93 1279.61 9.04 1382.73 1391.78 0.0386 5.9174 0.800.90 �35.67 1.4605 1.2559 18.91 1282.24 19.04 1376.23 1395.27 0.0808 5.8760 0.90
1.00 �33.60 1.4660 1.1381 28.03 1284.61 28.18 1370.23 1398.41 0.1191 5.8391 1.001.25 �29.07 1.4782 0.9237 48.03 1289.65 48.22 1356.89 1405.11 0.2018 5.7610 1.251.50 �25.22 1.4889 0.7787 65.10 1293.80 65.32 1345.28 1410.61 0.2712 5.6973 1.501.75 �21.86 1.4984 0.6740 80.08 1297.33 80.35 1334.92 1415.27 0.3312 5.6435 1.752.00 �18.86 1.5071 0.5946 93.50 1300.39 93.80 1325.51 1419.31 0.3843 5.5969 2.00
2.25 �16.15 1.5151 0.5323 105.68 1303.08 106.03 1316.83 1422.86 0.4319 5.5558 2.252.50 �13.67 1.5225 0.4821 116.88 1305.49 117.26 1308.76 1426.03 0.4753 5.5190 2.502.75 �11.37 1.5295 0.4408 127.26 1307.67 127.68 1301.20 1428.88 0.5152 5.4858 2.753.00 �9.24 1.5361 0.4061 136.96 1309.65 137.42 1294.05 1431.47 0.5520 5.4554 3.003.25 �7.24 1.5424 0.3765 146.06 1311.46 146.57 1287.27 1433.84 0.5864 5.4275 3.25
3.50 �5.36 1.5484 0.3511 154.66 1313.14 155.20 1280.81 1436.01 0.6186 5.4016 3.503.75 �3.58 1.5542 0.3289 162.80 1314.68 163.38 1274.64 1438.03 0.6489 5.3774 3.754.00 �1.90 1.5597 0.3094 170.55 1316.12 171.18 1268.71 1439.89 0.6776 5.3548 4.004.25 �0.29 1.5650 0.2921 177.96 1317.47 178.62 1263.01 1441.63 0.7048 5.3336 4.254.50 1.25 1.5702 0.2767 185.04 1318.73 185.75 1257.50 1443.25 0.7308 5.3135 4.50
4.75 2.72 1.5752 0.2629 191.84 1319.91 192.59 1252.18 1444.77 0.7555 5.2946 4.755.00 4.13 1.5800 0.2503 198.39 1321.02 199.18 1247.02 1446.19 0.7791 5.2765 5.005.25 5.48 1.5847 0.2390 204.69 1322.07 205.52 1242.01 1447.53 0.8018 5.2594 5.255.50 6.79 1.5893 0.2286 210.78 1323.06 211.65 1237.15 1448.80 0.8236 5.2430 5.505.75 8.05 1.5938 0.2191 216.66 1324.00 217.58 1232.41 1449.99 0.8446 5.2273 5.75
6.00 9.27 1.5982 0.2104 222.37 1324.89 223.32 1227.79 1451.12 0.8649 5.2122 6.007.00 13.79 1.6148 0.1815 243.56 1328.04 244.69 1210.38 1455.07 0.9394 5.1576 7.008.00 17.84 1.6302 0.1596 262.64 1330.64 263.95 1194.36 1458.30 1.0054 5.1099 8.009.00 21.52 1.6446 0.1424 280.05 1332.82 281.53 1179.44 1460.97 1.0649 5.0675 9.00
10.00 24.89 1.6584 0.1285 296.10 1334.66 297.76 1165.42 1463.18 1.1191 5.0294 10.00
12.00 30.94 1.6841 0.1075 324.99 1337.52 327.01 1139.52 1466.53 1.2152 4.9625 12.0014.00 36.26 1.7080 0.0923 350.58 1339.56 352.97 1115.82 1468.79 1.2987 4.9050 14.0016.00 41.03 1.7306 0.0808 373.69 1340.97 376.46 1093.77 1470.23 1.3729 4.8542 16.0018.00 45.38 1.7522 0.0717 394.85 1341.88 398.00 1073.01 1471.01 1.4399 4.8086 18.0020.00 49.37 1.7731 0.0644 414.44 1342.37 417.99 1053.27 1471.26 1.5012 4.7670 20.00
#
Am
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ia
Tables in SI Units 743
TABLE A-15 Properties of Superheated Ammonia Vapor
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 0.4 bar � 0.04 MPa p � 0.6 bar � 0.06 MPa(Tsat � �50.36�C) (Tsat � �43.28�C)
Sat. 2.6795 1264.54 1371.72 6.1618 1.8345 1273.27 1383.34 6.0186�50 2.6841 1265.11 1372.48 6.1652�45 2.7481 1273.05 1382.98 6.2118
�40 2.8118 1281.01 1393.48 6.2573 1.8630 1278.62 1390.40 6.0490�35 2.8753 1288.96 1403.98 6.3018 1.9061 1286.75 1401.12 6.0946�30 2.9385 1296.93 1414.47 6.3455 1.9491 1294.88 1411.83 6.1390
�25 3.0015 1304.90 1424.96 6.3882 1.9918 1303.01 1422.52 6.1826�20 3.0644 1312.88 1435.46 6.4300 2.0343 1311.13 1433.19 6.2251�15 3.1271 1320.87 1445.95 6.4711 2.0766 1319.25 1443.85 6.2668
�10 3.1896 1328.87 1456.45 6.5114 2.1188 1327.37 1454.50 6.3077�5 3.2520 1336.88 1466.95 6.5509 2.1609 1335.49 1465.14 6.3478
0 3.3142 1344.90 1477.47 6.5898 2.2028 1343.61 1475.78 6.38715 3.3764 1352.95 1488.00 6.6280 2.2446 1351.75 1486.43 6.4257
p � 0.8 bar � 0.08 MPa p � 1.0 bar � 0.10 MPa(Tsat � �37.94�C) (Tsat � �33.60�C)
Sat. 1.4021 1279.61 1391.78 5.9174 1.1381 1284.61 1398.41 5.8391�35 1.4215 1284.51 1398.23 5.9446�30 1.4543 1292.81 1409.15 5.9900 1.1573 1290.71 1406.44 5.8723
�25 1.4868 1301.09 1420.04 6.0343 1.1838 1299.15 1417.53 5.9175�20 1.5192 1309.36 1430.90 6.0777 1.2101 1307.57 1428.58 5.9616�15 1.5514 1317.61 1441.72 6.1200 1.2362 1315.96 1439.58 6.0046
�10 1.5834 1325.85 1452.53 6.1615 1.2621 1324.33 1450.54 6.0467�5 1.6153 1334.09 1463.31 6.2021 1.2880 1332.67 1461.47 6.0878
0 1.6471 1342.31 1474.08 6.2419 1.3136 1341.00 1472.37 6.1281
5 1.6788 1350.54 1484.84 6.2809 1.3392 1349.33 1483.25 6.167610 1.7103 1358.77 1495.60 6.3192 1.3647 1357.64 1494.11 6.206315 1.7418 1367.01 1506.35 6.3568 1.3900 1365.95 1504.96 6.244220 1.7732 1375.25 1517.10 6.3939 1.4153 1374.27 1515.80 6.2816
p � 1.5 bar � 0.15 MPa p � 2.0 bar � 0.20 MPa(Tsat � �25.22�C) (Tsat � �18.86�C)
Sat. 0.7787 1293.80 1410.61 5.6973 0.59460 1300.39 1419.31 5.5969�25 0.7795 1294.20 1411.13 5.6994�20 0.7978 1303.00 1422.67 5.7454
�15 0.8158 1311.75 1434.12 5.7902 0.60542 1307.43 1428.51 5.6328�10 0.8336 1320.44 1445.49 5.8338 0.61926 1316.46 1440.31 5.6781�5 0.8514 1329.08 1456.79 5.8764 0.63294 1325.41 1452.00 5.7221
0 0.8689 1337.68 1468.02 5.9179 0.64648 1334.29 1463.59 5.76495 0.8864 1346.25 1479.20 5.9585 0.65989 1343.11 1475.09 5.8066
10 0.9037 1354.78 1490.34 5.9981 0.67320 1351.87 1486.51 5.8473
15 0.9210 1363.29 1501.44 6.0370 0.68640 1360.59 1497.87 5.887120 0.9382 1371.79 1512.51 6.0751 0.69952 1369.28 1509.18 5.926025 0.9553 1380.28 1523.56 6.1125 0.71256 1377.93 1520.44 5.964130 0.9723 1388.76 1534.60 6.1492 0.72553 1386.56 1531.67 6.0014
##
Am
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744 Tables in SI Units
TABLE A-15 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 2.5 bar � 0.25 MPa p � 3.0 bar � 0.30 MPa(Tsat � �13.67�C) (Tsat � �9.24�C)
Sat. 0.48213 1305.49 1426.03 5.5190 0.40607 1309.65 1431.47 5.4554�10 0.49051 1312.37 1435.00 5.5534�5 0.50180 1321.65 1447.10 5.5989 0.41428 1317.80 1442.08 5.4953
0 0.51293 1330.83 1459.06 5.6431 0.42382 1327.28 1454.43 5.54095 0.52393 1339.91 1470.89 5.6860 0.43323 1336.64 1466.61 5.5851
10 0.53482 1348.91 1482.61 5.7278 0.44251 1345.89 1478.65 5.6280
15 0.54560 1357.84 1494.25 5.7685 0.45169 1355.05 1490.56 5.669720 0.55630 1366.72 1505.80 5.8083 0.46078 1364.13 1502.36 5.710325 0.56691 1375.55 1517.28 5.8471 0.46978 1373.14 1514.07 5.7499
30 0.57745 1384.34 1528.70 5.8851 0.47870 1382.09 1525.70 5.788635 0.58793 1393.10 1540.08 5.9223 0.48756 1391.00 1537.26 5.826440 0.59835 1401.84 1551.42 5.9589 0.49637 1399.86 1548.77 5.863545 0.60872 1410.56 1562.74 5.9947 0.50512 1408.70 1560.24 5.8998
p � 3.5 bar � 0.35 MPa p � 4.0 bar � 0.40 MPa(Tsat � �5.36�C) (Tsat � �1.90�C)
Sat. 0.35108 1313.14 1436.01 5.4016 0.30942 1316.12 1439.89 5.35480 0.36011 1323.66 1449.70 5.4522 0.31227 1319.95 1444.86 5.3731
10 0.37654 1342.82 1474.61 5.5417 0.32701 1339.68 1470.49 5.4652
20 0.39251 1361.49 1498.87 5.6259 0.34129 1358.81 1495.33 5.551530 0.40814 1379.81 1522.66 5.7057 0.35520 1377.49 1519.57 5.632840 0.42350 1397.87 1546.09 5.7818 0.36884 1395.85 1543.38 5.7101
60 0.45363 1433.55 1592.32 5.9249 0.39550 1431.97 1590.17 5.854980 0.48320 1469.06 1638.18 6.0586 0.42160 1467.77 1636.41 5.9897
100 0.51240 1504.73 1684.07 6.1850 0.44733 1503.64 1682.58 6.1169
120 0.54136 1540.79 1730.26 6.3056 0.47280 1539.85 1728.97 6.2380140 0.57013 1577.38 1776.92 6.4213 0.49808 1576.55 1775.79 6.3541160 0.59876 1614.60 1824.16 6.5330 0.52323 1613.86 1823.16 6.4661
180 0.62728 1652.51 1872.06 6.6411 0.54827 1651.85 1871.16 6.5744200 0.65572 1691.15 1920.65 6.7460 0.57322 1690.56 1919.85 6.6796
p � 4.5 bar � 0.45 MPa p � 5.0 bar � 0.50 MPa(Tsat � 1.25�C) (Tsat � 4.13�C)
Sat. 0.27671 1318.73 1443.25 5.3135 0.25034 1321.02 1446.19 5.276510 0.28846 1336.48 1466.29 5.3962 0.25757 1333.22 1462.00 5.333020 0.30142 1356.09 1491.72 5.4845 0.26949 1353.32 1488.06 5.4234
30 0.31401 1375.15 1516.45 5.5674 0.28103 1372.76 1513.28 5.508040 0.32631 1393.80 1540.64 5.6460 0.29227 1391.74 1537.87 5.587860 0.35029 1430.37 1588.00 5.7926 0.31410 1428.76 1585.81 5.7362
80 0.37369 1466.47 1634.63 5.9285 0.33535 1465.16 1632.84 5.8733100 0.39671 1502.55 1681.07 6.0564 0.35621 1501.46 1679.56 6.0020120 0.41947 1538.91 1727.67 6.1781 0.37681 1537.97 1726.37 6.1242
140 0.44205 1575.73 1774.65 6.2946 0.39722 1574.90 1773.51 6.2412160 0.46448 1613.13 1822.15 6.4069 0.41749 1612.40 1821.14 6.3537180 0.48681 1651.20 1870.26 6.5155 0.43765 1650.54 1869.36 6.4626200 0.50905 1689.97 1919.04 6.6208 0.45771 1689.38 1918.24 6.5681
##
Am
mon
ia
Tables in SI Units 745
TABLE A-15 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 5.5 bar � 0.55 MPa p � 6.0 bar � 0.60 MPa(Tsat � 6.79�C) (Tsat � 9.27�C)
Sat. 0.22861 1323.06 1448.80 5.2430 0.21038 1324.89 1451.12 5.212210 0.23227 1329.88 1457.63 5.2743 0.21115 1326.47 1453.16 5.219520 0.24335 1350.50 1484.34 5.3671 0.22155 1347.62 1480.55 5.3145
30 0.25403 1370.35 1510.07 5.4534 0.23152 1367.90 1506.81 5.402640 0.26441 1389.64 1535.07 5.5345 0.24118 1387.52 1532.23 5.485150 0.27454 1408.53 1559.53 5.6114 0.25059 1406.67 1557.03 5.5631
60 0.28449 1427.13 1583.60 5.6848 0.25981 1425.49 1581.38 5.637380 0.30398 1463.85 1631.04 5.8230 0.27783 1462.52 1629.22 5.7768
100 0.32307 1500.36 1678.05 5.9525 0.29546 1499.25 1676.52 5.9071
120 0.34190 1537.02 1725.07 6.0753 0.31281 1536.07 1723.76 6.0304140 0.36054 1574.07 1772.37 6.1926 0.32997 1573.24 1771.22 6.1481160 0.37903 1611.66 1820.13 6.3055 0.34699 1610.92 1819.12 6.2613
180 0.39742 1649.88 1868.46 6.4146 0.36390 1649.22 1867.56 6.3707200 0.41571 1688.79 1917.43 6.5203 0.38071 1688.20 1916.63 6.4766
p � 7.0 bar � 0.70 MPa p � 8.0 bar � 0.80 MPa(Tsat � 13.79�C) (Tsat � 17.84�C)
Sat. 0.18148 1328.04 1455.07 5.1576 0.15958 1330.64 1458.30 5.109920 0.18721 1341.72 1472.77 5.2186 0.16138 1335.59 1464.70 5.131830 0.19610 1362.88 1500.15 5.3104 0.16948 1357.71 1493.29 5.2277
40 0.20464 1383.20 1526.45 5.3958 0.17720 1378.77 1520.53 5.316150 0.21293 1402.90 1551.95 5.4760 0.18465 1399.05 1546.77 5.398660 0.22101 1422.16 1576.87 5.5519 0.19189 1418.77 1572.28 5.4763
80 0.23674 1459.85 1625.56 5.6939 0.20590 1457.14 1621.86 5.6209100 0.25205 1497.02 1673.46 5.8258 0.21949 1494.77 1670.37 5.7545120 0.26709 1534.16 1721.12 5.9502 0.23280 1532.24 1718.48 5.8801
140 0.28193 1571.57 1768.92 6.0688 0.24590 1569.89 1766.61 5.9995160 0.29663 1609.44 1817.08 6.1826 0.25886 1607.96 1815.04 6.1140180 0.31121 1647.90 1865.75 6.2925 0.27170 1646.57 1863.94 6.2243200 0.32571 1687.02 1915.01 6.3988 0.28445 1685.83 1913.39 6.3311
p � 9.0 bar � 0.90 MPa p � 10.0 bar � 1.00 MPa(Tsat � 21.52�C) (Tsat � 24.89�C)
Sat. 0.14239 1332.82 1460.97 5.0675 0.12852 1334.66 1463.18 5.029430 0.14872 1352.36 1486.20 5.1520 0.13206 1346.82 1478.88 5.081640 0.15582 1374.21 1514.45 5.2436 0.13868 1369.52 1508.20 5.1768
50 0.16263 1395.11 1541.47 5.3286 0.14499 1391.07 1536.06 5.264460 0.16922 1415.32 1567.61 5.4083 0.15106 1411.79 1562.86 5.346080 0.18191 1454.39 1618.11 5.5555 0.16270 1451.60 1614.31 5.4960
100 0.19416 1492.50 1667.24 5.6908 0.17389 1490.20 1664.10 5.6332120 0.20612 1530.30 1715.81 5.8176 0.18478 1528.35 1713.13 5.7612140 0.21788 1568.20 1764.29 5.9379 0.19545 1566.51 1761.96 5.8823
160 0.22948 1606.46 1813.00 6.0530 0.20598 1604.97 1810.94 5.9981180 0.24097 1645.24 1862.12 6.1639 0.21638 1643.91 1860.29 6.1095200 0.25237 1684.64 1911.77 6.2711 0.22670 1683.44 1910.14 6.2171
##
Am
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746 Tables in SI Units
TABLE A-15 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 12.0 bar � 1.20 MPa p � 14.0 bar � 1.40 MPa(Tsat � 30.94�C) (Tsat � 36.26�C)
Sat. 0.10751 1337.52 1466.53 4.9625 0.09231 1339.56 1468.79 4.905040 0.11287 1359.73 1495.18 5.0553 0.09432 1349.29 1481.33 4.945360 0.12378 1404.54 1553.07 5.2347 0.10423 1396.97 1542.89 5.1360
80 0.13387 1445.91 1606.56 5.3906 0.11324 1440.06 1598.59 5.2984100 0.14347 1485.55 1657.71 5.5315 0.12172 1480.79 1651.20 5.4433120 0.15275 1524.41 1707.71 5.6620 0.12986 1520.41 1702.21 5.5765
140 0.16181 1563.09 1757.26 5.7850 0.13777 1559.63 1752.52 5.7013160 0.17072 1601.95 1806.81 5.9021 0.14552 1598.92 1802.65 5.8198180 0.17950 1641.23 1856.63 6.0145 0.15315 1638.53 1852.94 5.9333
200 0.18819 1681.05 1906.87 6.1230 0.16068 1678.64 1903.59 6.0427220 0.19680 1721.50 1957.66 6.2282 0.16813 1719.35 1954.73 6.1485240 0.20534 1762.63 2009.04 6.3303 0.17551 1760.72 2006.43 6.2513
260 0.21382 1804.48 2061.06 6.4297 0.18283 1802.78 2058.75 6.3513280 0.22225 1847.04 2113.74 6.5267 0.19010 1845.55 2111.69 6.4488
p � 16.0 bar � 1.60 MPa p � 18.0 bar � 1.80 MPa(Tsat � 41.03�C) (Tsat � 45.38�C)
Sat. 0.08079 1340.97 1470.23 4.8542 0.07174 1341.88 1471.01 4.808660 0.08951 1389.06 1532.28 5.0461 0.07801 1380.77 1521.19 4.962780 0.09774 1434.02 1590.40 5.2156 0.08565 1427.79 1581.97 5.1399
100 0.10539 1475.93 1644.56 5.3648 0.09267 1470.97 1637.78 5.2937120 0.11268 1516.34 1696.64 5.5008 0.09931 1512.22 1690.98 5.4326140 0.11974 1556.14 1747.72 5.6276 0.10570 1552.61 1742.88 5.5614
160 0.12663 1595.85 1798.45 5.7475 0.11192 1592.76 1794.23 5.6828180 0.13339 1635.81 1849.23 5.8621 0.11801 1633.08 1845.50 5.7985200 0.14005 1676.21 1900.29 5.9723 0.12400 1673.78 1896.98 5.9096
220 0.14663 1717.18 1951.79 6.0789 0.12991 1715.00 1948.83 6.0170240 0.15314 1758.79 2003.81 6.1823 0.13574 1756.85 2001.18 6.1210260 0.15959 1801.07 2056.42 6.2829 0.14152 1799.35 2054.08 6.2222280 0.16599 1844.05 2109.64 6.3809 0.14724 1842.55 2107.58 6.3207
p � 20.0 bar � 2.00 MPa(Tsat � 49.37�C)
Sat. 0.06445 1342.37 1471.26 4.767060 0.06875 1372.05 1509.54 4.883880 0.07596 1421.36 1573.27 5.0696
100 0.08248 1465.89 1630.86 5.2283120 0.08861 1508.03 1685.24 5.3703140 0.09447 1549.03 1737.98 5.5012
160 0.10016 1589.65 1789.97 5.6241180 0.10571 1630.32 1841.74 5.7409200 0.11116 1671.33 1893.64 5.8530
220 0.11652 1712.82 1945.87 5.9611240 0.12182 1754.90 1998.54 6.0658260 0.12706 1797.63 2051.74 6.1675280 0.13224 1841.03 2105.50 6.2665
##
Am
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Tables in SI Units 747
TABLE A-16 Properties of Saturated Propane (Liquid–Vapor): Temperature Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Temp.
�C bar vf � 103 vg uf ug hf hfg hg sf sg �C
�100 0.02888 1.553 11.27 �128.4 319.5 �128.4 480.4 352.0 �0.634 2.140 �100�90 0.06426 1.578 5.345 �107.8 329.3 �107.8 471.4 363.6 �0.519 2.055 �90�80 0.1301 1.605 2.774 �87.0 339.3 �87.0 462.4 375.4 �0.408 1.986 �80�70 0.2434 1.633 1.551 �65.8 349.5 �65.8 453.1 387.3 �0.301 1.929 �70�60 0.4261 1.663 0.9234 �44.4 359.9 �44.3 443.5 399.2 �0.198 1.883 �60
�50 0.7046 1.694 0.5793 �22.5 370.4 �22.4 433.6 411.2 �0.098 1.845 �50�40 1.110 1.728 0.3798 �0.2 381.0 0.0 423.2 423.2 0.000 1.815 �40�30 1.677 1.763 0.2585 22.6 391.6 22.9 412.1 435.0 0.096 1.791 �30�20 2.444 1.802 0.1815 45.9 402.4 46.3 400.5 446.8 0.190 1.772 �20�10 3.451 1.844 0.1309 69.8 413.2 70.4 388.0 458.4 0.282 1.757 �10
0 4.743 1.890 0.09653 94.2 423.8 95.1 374.5 469.6 0.374 1.745 04 5.349 1.910 0.08591 104.2 428.1 105.3 368.8 474.1 0.410 1.741 48 6.011 1.931 0.07666 114.3 432.3 115.5 362.9 478.4 0.446 1.737 8
12 6.732 1.952 0.06858 124.6 436.5 125.9 356.8 482.7 0.482 1.734 1216 7.515 1.975 0.06149 135.0 440.7 136.4 350.5 486.9 0.519 1.731 16
20 8.362 1.999 0.05525 145.4 444.8 147.1 343.9 491.0 0.555 1.728 2024 9.278 2.024 0.04973 156.1 448.9 158.0 337.0 495.0 0.591 1.725 2428 10.27 2.050 0.04483 166.9 452.9 169.0 329.9 498.9 0.627 1.722 2832 11.33 2.078 0.04048 177.8 456.7 180.2 322.4 502.6 0.663 1.720 3236 12.47 2.108 0.03659 188.9 460.6 191.6 314.6 506.2 0.699 1.717 36
40 13.69 2.140 0.03310 200.2 464.3 203.1 306.5 509.6 0.736 1.715 4044 15.00 2.174 0.02997 211.7 467.9 214.9 298.0 512.9 0.772 1.712 4448 16.40 2.211 0.02714 223.4 471.4 227.0 288.9 515.9 0.809 1.709 4852 17.89 2.250 0.02459 235.3 474.6 239.3 279.3 518.6 0.846 1.705 5256 19.47 2.293 0.02227 247.4 477.7 251.9 269.2 521.1 0.884 1.701 56
60 21.16 2.340 0.02015 259.8 480.6 264.8 258.4 523.2 0.921 1.697 6065 23.42 2.406 0.01776 275.7 483.6 281.4 243.8 525.2 0.969 1.690 6570 25.86 2.483 0.01560 292.3 486.1 298.7 227.7 526.4 1.018 1.682 7075 28.49 2.573 0.01363 309.5 487.8 316.8 209.8 526.6 1.069 1.671 7580 31.31 2.683 0.01182 327.6 488.2 336.0 189.2 525.2 1.122 1.657 80
85 34.36 2.827 0.01011 347.2 486.9 356.9 164.7 521.6 1.178 1.638 8590 37.64 3.038 0.008415 369.4 482.2 380.8 133.1 513.9 1.242 1.608 9095 41.19 3.488 0.006395 399.8 467.4 414.2 79.5 493.7 1.330 1.546 9596.7 42.48 4.535 0.004535 434.9 434.9 454.2 0.0 457.2 1.437 1.437 96.7
Source: Tables A-16 through A-18 are calculated based on B. A. Younglove and J. F. Ely, “Thermophysical Properties of Fluids. II. Methane,Ethane, Propane, Isobutane and Normal Butane,” J. Phys. Chem. Ref. Data, Vol. 16, No. 4, 1987, pp. 577–598.
#
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748 Tables in SI Units
TABLE A-17 Properties of Saturated Propane (Liquid–Vapor): Pressure Table
Specific Volume Internal Energy Enthalpy Entropym3/kg kJ/kg kJ/kg kJ/kg K
Sat. Sat. Sat. Sat. Sat. Sat. Sat. Sat.Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap. Vapor Liquid Vapor Press.
bar �C vf � 103 vg uf ug hf hfg hg sf sg bar
0.05 �93.28 1.570 6.752 �114.6 326.0 �114.6 474.4 359.8 �0.556 2.081 0.050.10 �83.87 1.594 3.542 �95.1 335.4 �95.1 465.9 370.8 �0.450 2.011 0.100.25 �69.55 1.634 1.513 �64.9 350.0 �64.9 452.7 387.8 �0.297 1.927 0.250.50 �56.93 1.672 0.7962 �37.7 363.1 �37.6 440.5 402.9 �0.167 1.871 0.500.75 �48.68 1.698 0.5467 �19.6 371.8 �19.5 432.3 412.8 �0.085 1.841 0.75
1.00 �42.38 1.719 0.4185 �5.6 378.5 �5.4 425.7 420.3 �0.023 1.822 1.002.00 �25.43 1.781 0.2192 33.1 396.6 33.5 406.9 440.4 0.139 1.782 2.003.00 �14.16 1.826 0.1496 59.8 408.7 60.3 393.3 453.6 0.244 1.762 3.004.00 �5.46 1.865 0.1137 80.8 418.0 81.5 382.0 463.5 0.324 1.751 4.005.00 1.74 1.899 0.09172 98.6 425.7 99.5 372.1 471.6 0.389 1.743 5.00
6.00 7.93 1.931 0.07680 114.2 432.2 115.3 363.0 478.3 0.446 1.737 6.007.00 13.41 1.960 0.06598 128.2 438.0 129.6 354.6 484.2 0.495 1.733 7.008.00 18.33 1.989 0.05776 141.0 443.1 142.6 346.7 489.3 0.540 1.729 8.009.00 22.82 2.016 0.05129 152.9 447.6 154.7 339.1 493.8 0.580 1.726 9.00
10.00 26.95 2.043 0.04606 164.0 451.8 166.1 331.8 497.9 0.618 1.723 10.00
11.00 30.80 2.070 0.04174 174.5 455.6 176.8 324.7 501.5 0.652 1.721 11.0012.00 34.39 2.096 0.03810 184.4 459.1 187.0 317.8 504.8 0.685 1.718 12.0013.00 37.77 2.122 0.03499 193.9 462.2 196.7 311.0 507.7 0.716 1.716 13.0014.00 40.97 2.148 0.03231 203.0 465.2 206.0 304.4 510.4 0.745 1.714 14.0015.00 44.01 2.174 0.02997 211.7 467.9 215.0 297.9 512.9 0.772 1.712 15.00
16.00 46.89 2.200 0.02790 220.1 470.4 223.6 291.4 515.0 0.799 1.710 16.0017.00 49.65 2.227 0.02606 228.3 472.7 232.0 285.0 517.0 0.824 1.707 17.0018.00 52.30 2.253 0.02441 236.2 474.9 240.2 278.6 518.8 0.849 1.705 18.0019.00 54.83 2.280 0.02292 243.8 476.9 248.2 272.2 520.4 0.873 1.703 19.0020.00 57.27 2.308 0.02157 251.3 478.7 255.9 265.9 521.8 0.896 1.700 20.00
22.00 61.90 2.364 0.01921 265.8 481.7 271.0 253.0 524.0 0.939 1.695 22.0024.00 66.21 2.424 0.01721 279.7 484.3 285.5 240.1 525.6 0.981 1.688 24.0026.00 70.27 2.487 0.01549 293.1 486.2 299.6 226.9 526.5 1.021 1.681 26.0028.00 74.10 2.555 0.01398 306.2 487.5 313.4 213.2 526.6 1.060 1.673 28.0030.00 77.72 2.630 0.01263 319.2 488.1 327.1 198.9 526.0 1.097 1.664 30.00
35.00 86.01 2.862 0.009771 351.4 486.3 361.4 159.1 520.5 1.190 1.633 35.0040.00 93.38 3.279 0.007151 387.9 474.7 401.0 102.3 503.3 1.295 1.574 40.0042.48 96.70 4.535 0.004535 434.9 434.9 454.2 0.0 454.2 1.437 1.437 42.48
#
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Tables in SI Units 749
TABLE A-18 Properties of Superheated Propane
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 0.05 bar � 0.005 MPa p � 0.1 bar � 0.01 MPa(Tsat � �93.28�C) (Tsat � �83.87�C)
Sat. 6.752 326.0 359.8 2.081 3.542 367.3 370.8 2.011�90 6.877 329.4 363.8 2.103�80 7.258 339.8 376.1 2.169 3.617 339.5 375.7 2.037
�70 7.639 350.6 388.8 2.233 3.808 350.3 388.4 2.101�60 8.018 361.8 401.9 2.296 3.999 361.5 401.5 2.164�50 8.397 373.3 415.3 2.357 4.190 373.1 415.0 2.226
�40 8.776 385.1 429.0 2.418 4.380 385.0 428.8 2.286�30 9.155 397.4 443.2 2.477 4.570 397.3 443.0 2.346�20 9.533 410.1 457.8 2.536 4.760 410.0 457.6 2.405
�10 9.911 423.2 472.8 2.594 4.950 423.1 472.6 2.4630 10.29 436.8 488.2 2.652 5.139 436.7 488.1 2.520
10 10.67 450.8 504.1 2.709 5.329 450.6 503.9 2.57820 11.05 270.6 520.4 2.765 5.518 465.1 520.3 2.634
p � 0.5 bar � 0.05 MPa p � 1.0 bar � 0.1 MPa(Tsat � �56.93�C) (Tsat � �42.38�C)
Sat. 0.796 363.1 402.9 1.871 0.4185 378.5 420.3 1.822�50 0.824 371.3 412.5 1.914�40 0.863 383.4 426.6 1.976 0.4234 381.5 423.8 1.837
�30 0.903 396.0 441.1 2.037 0.4439 394.2 438.6 1.899�20 0.942 408.8 455.9 2.096 0.4641 407.3 453.7 1.960�10 0.981 422.1 471.1 2.155 0.4842 420.7 469.1 2.019
0 1.019 435.8 486.7 2.213 0.5040 434.4 484.8 2.07810 1.058 449.8 502.7 2.271 0.5238 448.6 501.0 2.13620 1.096 464.3 519.1 2.328 0.5434 463.3 517.6 2.194
30 1.135 479.2 535.9 2.384 0.5629 478.2 534.5 2.25140 1.173 494.6 553.2 2.440 0.5824 493.7 551.9 2.30750 1.211 510.4 570.9 2.496 0.6018 509.5 569.7 2.36360 1.249 526.7 589.1 2.551 0.6211 525.8 587.9 2.419
p � 2.0 bar � 0.2 MPa p � 3.0 bar � 0.3 MPa(Tsat � �25.43�C) (Tsat � �14.16�C)
Sat. 0.2192 396.6 440.4 1.782 0.1496 408.7 453.6 1.762�20 0.2251 404.0 449.0 1.816�10 0.2358 417.7 464.9 1.877 0.1527 414.7 460.5 1.789
0 0.2463 431.8 481.1 1.938 0.1602 429.0 477.1 1.85110 0.2566 446.3 497.6 1.997 0.1674 443.8 494.0 1.91220 0.2669 461.1 514.5 2.056 0.1746 458.8 511.2 1.971
30 0.2770 476.3 531.7 2.113 0.1816 474.2 528.7 2.03040 0.2871 491.9 549.3 2.170 0.1885 490.1 546.6 2.08850 0.2970 507.9 567.3 2.227 0.1954 506.2 564.8 2.145
60 0.3070 524.3 585.7 2.283 0.2022 522.7 583.4 2.20270 0.3169 541.1 604.5 2.339 0.2090 539.6 602.3 2.25880 0.3267 558.4 623.7 2.394 0.2157 557.0 621.7 2.31490 0.3365 576.1 643.4 2.449 0.2223 574.8 641.5 2.369
##
Pro
pane
750 Tables in SI Units
Pro
pane
TABLE A-18 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 4.0 bar � 0.4 MPa p � 5.0 bar � 0.5 MPa(Tsat � �5.46�C) (Tsat � 1.74�C)
Sat. 0.1137 418.0 463.5 1.751 0.09172 425.7 471.6 1.7430 0.1169 426.1 472.9 1.786
10 0.1227 441.2 490.3 1.848 0.09577 438.4 486.3 1.796
20 0.1283 456.6 507.9 1.909 0.1005 454.1 504.3 1.85830 0.1338 472.2 525.7 1.969 0.1051 470.0 522.5 1.91940 0.1392 488.1 543.8 2.027 0.1096 486.1 540.9 1.979
50 0.1445 504.4 562.2 2.085 0.1140 502.5 559.5 2.03860 0.1498 521.1 581.0 2.143 0.1183 519.4 578.5 2.09570 0.1550 538.1 600.1 2.199 0.1226 536.6 597.9 2.153
80 0.1601 555.7 619.7 2.255 0.1268 554.1 617.5 2.20990 0.1652 573.5 639.6 2.311 0.1310 572.1 637.6 2.265
100 0.1703 591.8 659.9 2.366 0.1351 590.5 658.0 2.321110 0.1754 610.4 680.6 2.421 0.1392 609.3 678.9 2.376
p � 6.0 bar � 0.6 MPa p � 7.0 bar � 0.7 MPa(Tsat � 7.93�C) (Tsat � 13.41�C)
Sat. 0.07680 432.2 478.3 1.737 0.06598 438.0 484.2 1.73310 0.07769 435.6 482.2 1.75120 0.08187 451.5 500.6 1.815 0.06847 448.8 496.7 1.776
30 0.08588 467.7 519.2 1.877 0.07210 465.2 515.7 1.84040 0.08978 484.0 537.9 1.938 0.07558 481.9 534.8 1.90150 0.09357 500.7 556.8 1.997 0.07896 498.7 554.0 1.962
60 0.09729 517.6 576.0 2.056 0.08225 515.9 573.5 2.02170 0.1009 535.0 595.5 2.113 0.08547 533.4 593.2 2.07980 0.1045 552.7 615.4 2.170 0.08863 551.2 613.2 2.137
90 0.1081 570.7 635.6 2.227 0.09175 569.4 633.6 2.194100 0.1116 589.2 656.2 2.283 0.09482 587.9 654.3 2.250110 0.1151 608.0 677.1 2.338 0.09786 606.8 675.3 2.306120 0.1185 627.3 698.4 2.393 0.1009 626.2 696.8 2.361
p � 8.0 bar � 0.8 MPa p � 9.0 bar � 0.9 MPa(Tsat � 18.33�C) (Tsat � 22.82�C)
Sat. 0.05776 443.1 489.3 1.729 0.05129 447.2 493.8 1.72620 0.05834 445.9 492.6 1.74030 0.06170 462.7 512.1 1.806 0.05355 460.0 508.2 1.774
40 0.06489 479.6 531.5 1.869 0.05653 477.2 528.1 1.83950 0.06796 496.7 551.1 1.930 0.05938 494.7 548.1 1.90160 0.07094 514.0 570.8 1.990 0.06213 512.2 568.1 1.962
70 0.07385 531.6 590.7 2.049 0.06479 530.0 588.3 2.02280 0.07669 549.6 611.0 2.107 0.06738 548.1 608.7 2.08190 0.07948 567.9 631.5 2.165 0.06992 566.5 629.4 2.138
100 0.08222 586.5 652.3 2.221 0.07241 585.2 650.4 2.195110 0.08493 605.6 673.5 2.277 0.07487 604.3 671.7 2.252120 0.08761 625.0 695.1 2.333 0.07729 623.7 693.3 2.307
130 0.09026 644.8 717.0 2.388 0.07969 643.6 715.3 2.363140 0.09289 665.0 739.3 2.442 0.08206 663.8 737.7 2.418
##
Tables in SI Units 751
TABLE A-18 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 10.0 bar � 1.0 MPa p � 12.0 bar � 1.2 MPa(Tsat � 26.95�C) (Tsat � 34.39�C)
Sat. 0.04606 451.8 497.9 1.723 0.03810 459.1 504.8 1.71830 0.04696 457.1 504.1 1.74440 0.04980 474.8 524.6 1.810 0.03957 469.4 516.9 1.757
50 0.05248 492.4 544.9 1.874 0.04204 487.8 538.2 1.82460 0.05505 510.2 565.2 1.936 0.04436 506.1 559.3 1.88970 0.05752 528.2 585.7 1.997 0.04657 524.4 580.3 1.951
80 0.05992 546.4 606.3 2.056 0.04869 543.1 601.5 2.01290 0.06226 564.9 627.2 2.114 0.05075 561.8 622.7 2.071
100 0.06456 583.7 648.3 2.172 0.05275 580.9 644.2 2.129
110 0.06681 603.0 669.8 2.228 0.05470 600.4 666.0 2.187120 0.06903 622.6 691.6 2.284 0.05662 620.1 688.0 2.244130 0.07122 642.5 713.7 2.340 0.05851 640.1 710.3 2.300140 0.07338 662.8 736.2 2.395 0.06037 660.6 733.0 2.355
p � 14.0 bar � 1.4 MPa p � 16.0 bar � 1.6 MPa(Tsat � 40.97�C) (Tsat � 46.89�C)
Sat. 0.03231 465.2 510.4 1.714 0.02790 470.4 515.0 1.71050 0.03446 482.6 530.8 1.778 0.02861 476.7 522.5 1.73360 0.03664 501.6 552.9 1.845 0.03075 496.6 545.8 1.804
70 0.03869 520.4 574.6 1.909 0.03270 516.2 568.5 1.87180 0.04063 539.4 596.3 1.972 0.03453 535.7 590.9 1.93590 0.04249 558.6 618.1 2.033 0.03626 555.2 613.2 1.997
100 0.04429 577.9 639.9 2.092 0.03792 574.8 635.5 2.058110 0.04604 597.5 662.0 2.150 0.03952 594.7 657.9 2.117120 0.04774 617.5 684.3 2.208 0.04107 614.8 680.5 2.176
130 0.04942 637.7 706.9 2.265 0.04259 635.3 703.4 2.233140 0.05106 658.3 729.8 2.321 0.04407 656.0 726.5 2.290150 0.05268 679.2 753.0 2.376 0.04553 677.1 749.9 2.346160 0.05428 700.5 776.5 2.431 0.04696 698.5 773.6 2.401
p � 18.0 bar � 1.8 MPa p � 20.0 bar � 2.0 MPa(Tsat � 52.30�C) (Tsat � 57.27�C)
Sat. 0.02441 474.9 518.8 1.705 0.02157 478.7 521.8 1.70060 0.02606 491.1 538.0 1.763 0.02216 484.8 529.1 1.72270 0.02798 511.4 561.8 1.834 0.02412 506.3 554.5 1.797
80 0.02974 531.6 585.1 1.901 0.02585 527.1 578.8 1.86790 0.03138 551.5 608.0 1.965 0.02744 547.6 602.5 1.933
100 0.03293 571.5 630.8 2.027 0.02892 568.1 625.9 1.997
110 0.03443 591.7 653.7 2.087 0.03033 588.5 649.2 2.059120 0.03586 612.1 676.6 2.146 0.03169 609.2 672.6 2.119130 0.03726 632.7 699.8 2.204 0.03299 630.0 696.0 2.178
140 0.03863 653.6 723.1 2.262 0.03426 651.2 719.7 2.236150 0.03996 674.8 746.7 2.318 0.03550 672.5 743.5 2.293160 0.04127 696.3 770.6 2.374 0.03671 694.2 767.6 2.349
170 0.04256 718.2 794.8 2.429 0.03790 716.2 792.0 2.404180 0.04383 740.4 819.3 2.484 0.03907 738.5 816.6 2.459
##
Pro
pane
752 Tables in SI Units
Pro
pane
TABLE A-18 (Continued)
T v u h s v u h s�C m3/kg kJ/kg kJ/kg kJ/kg K m3/kg kJ/kg kJ/kg kJ/kg K
p � 22.0 bar � 2.2 MPa p � 24.0 bar � 2.4 MPa(Tsat � 61.90�C) (Tsat � 66.21�C)
Sat. 0.01921 481.8 524.0 1.695 0.01721 484.3 525.6 1.68870 0.02086 500.5 546.4 1.761 0.01802 493.7 536.9 1.72280 0.02261 522.4 572.1 1.834 0.01984 517.0 564.6 1.801
90 0.02417 543.5 596.7 1.903 0.02141 539.0 590.4 1.873100 0.02561 564.5 620.8 1.969 0.02283 560.6 615.4 1.941110 0.02697 585.3 644.6 2.032 0.02414 581.9 639.8 2.006
120 0.02826 606.2 668.4 2.093 0.02538 603.2 664.1 2.068130 0.02949 627.3 692.2 2.153 0.02656 624.6 688.3 2.129140 0.03069 648.6 716.1 2.211 0.02770 646.0 712.5 2.188
150 0.03185 670.1 740.2 2.269 0.02880 667.8 736.9 2.247160 0.03298 691.9 764.5 2.326 0.02986 689.7 761.4 2.304170 0.03409 714.1 789.1 2.382 0.03091 711.9 786.1 2.360180 0.03517 736.5 813.9 2.437 0.03193 734.5 811.1 2.416
p � 26.0 bar � 2.6 MPa p � 30.0 bar � 3.0 MPa(Tsat � 70.27�C) (Tsat � 77.72�C)
Sat. 0.01549 486.2 526.5 1.681 0.01263 488.2 526.0 1.66480 0.01742 511.0 556.3 1.767 0.01318 495.4 534.9 1.68990 0.01903 534.2 583.7 1.844 0.01506 522.8 568.0 1.782
100 0.02045 556.4 609.6 1.914 0.01654 547.2 596.8 1.860110 0.02174 578.3 634.8 1.981 0.01783 570.4 623.9 1.932120 0.02294 600.0 659.6 2.045 0.01899 593.0 650.0 1.999
130 0.02408 621.6 684.2 2.106 0.02007 615.4 675.6 2.063140 0.02516 643.4 708.8 2.167 0.02109 637.7 701.0 2.126150 0.02621 665.3 733.4 2.226 0.02206 660.1 726.3 2.186
160 0.02723 687.4 758.2 2.283 0.02300 682.6 751.6 2.245170 0.02821 709.9 783.2 2.340 0.02390 705.4 777.1 2.303180 0.02918 732.5 808.4 2.397 0.02478 728.3 802.6 2.360190 0.03012 755.5 833.8 2.452 0.02563 751.5 828.4 2.417
p � 35.0 bar � 3.5 MPa p � 40.0 bar � 4.0 MPa(Tsat � 86.01�C) (Tsat � 93.38�C)
Sat. 0.00977 486.3 520.5 1.633 0.00715 474.7 503.3 1.57490 0.01086 502.4 540.5 1.688
100 0.01270 532.9 577.3 1.788 0.00940 512.1 549.7 1.700
110 0.01408 558.9 608.2 1.870 0.01110 544.7 589.1 1.804120 0.01526 583.4 636.8 1.944 0.01237 572.1 621.6 1.887130 0.01631 607.0 664.1 2.012 0.01344 597.4 651.2 1.962
140 0.01728 630.2 690.7 2.077 0.01439 621.9 679.5 2.031150 0.01819 653.3 717.0 2.140 0.01527 645.9 707.0 2.097160 0.01906 676.4 743.1 2.201 0.01609 669.7 734.1 2.160
170 0.01989 699.6 769.2 2.261 0.01687 693.4 760.9 2.222180 0.02068 722.9 795.3 2.319 0.01761 717.3 787.7 2.281190 0.02146 746.5 821.6 2.376 0.01833 741.2 814.5 2.340200 0.02221 770.3 848.0 2.433 0.01902 765.3 841.4 2.397
##
Tables in SI Units 753
Tabl
e A
-19
TABLE A-19 Properties of Selected Solids and Liquids: cp, �, and
Specific Density, ThermalHeat, cp � Conductivity,
Substance (kJ/kg K) (kg/m3) (W/m K)
Selected Solids, 300K
Aluminium 0.903 2700 237Coal, anthracite 1.260 1350 0.26Copper 0.385 8930 401Granite 0.775 2630 2.79Iron 0.447 7870 80.2Lead 0.129 11300 35.3Sand 0.800 1520 0.27Silver 0.235 10500 429Soil 1.840 2050 0.52Steel (AISI 302) 0.480 8060 15.1Tin 0.227 7310 66.6
Building Materials, 300K
Brick, common 0.835 1920 0.72Concrete (stone mix) 0.880 2300 1.4Glass, plate 0.750 2500 1.4Hardboard, siding 1.170 640 0.094Limestone 0.810 2320 2.15Plywood 1.220 545 0.12Softwoods (fir, pine) 1.380 510 0.12
Insulating Materials, 300K
Blanket (glass fiber) — 16 0.046Cork 1.800 120 0.039Duct liner (glass fiber, coated) 0.835 32 0.038Polystyrene (extruded) 1.210 55 0.027Vermiculite fill (flakes) 0.835 80 0.068
Saturated Liquids
Ammonia, 300K 4.818 599.8 0.465Mercury, 300K 0.139 13529 8.540Refrigerant 22, 300K 1.267 1183.1 0.085Refrigerant 134a, 300K 1.434 1199.7 0.081Unused Engine Oil, 300K 1.909 884.1 0.145Water, 275K 4.211 999.9 0.574
300K 4.179 996.5 0.613325K 4.182 987.1 0.645350K 4.195 973.5 0.668375K 4.220 956.8 0.681400K 4.256 937.4 0.688
Source: Drawn from several sources, these data are only representative. Values can vary depending ontemperature, purity, moisture content, and other factors.
##
754 Tables in SI Units
Tabl
e A
-20
TABLE A-20 Ideal Gas Specific Heats of Some Common Gases (kJ/kg K)
cp cv k cp cv k cp cv k
Temp. Temp.K Air Nitrogen, N2 Oxygen, O2 K
250 1.003 0.716 1.401 1.039 0.742 1.400 0.913 0.653 1.398 250300 1.005 0.718 1.400 1.039 0.743 1.400 0.918 0.658 1.395 300350 1.008 0.721 1.398 1.041 0.744 1.399 0.928 0.668 1.389 350
400 1.013 0.726 1.395 1.044 0.747 1.397 0.941 0.681 1.382 400450 1.020 0.733 1.391 1.049 0.752 1.395 0.956 0.696 1.373 450500 1.029 0.742 1.387 1.056 0.759 1.391 0.972 0.712 1.365 500
550 1.040 0.753 1.381 1.065 0.768 1.387 0.988 0.728 1.358 550600 1.051 0.764 1.376 1.075 0.778 1.382 1.003 0.743 1.350 600650 1.063 0.776 1.370 1.086 0.789 1.376 1.017 0.758 1.343 650
700 1.075 0.788 1.364 1.098 0.801 1.371 1.031 0.771 1.337 700750 1.087 0.800 1.359 1.110 0.813 1.365 1.043 0.783 1.332 750800 1.099 0.812 1.354 1.121 0.825 1.360 1.054 0.794 1.327 800
900 1.121 0.834 1.344 1.145 0.849 1.349 1.074 0.814 1.319 9001000 1.142 0.855 1.336 1.167 0.870 1.341 1.090 0.830 1.313 1000
Temp. Carbon Carbon Temp.K Dioxide, CO2 Monoxide, CO Hydrogen, H2 K
250 0.791 0.602 1.314 1.039 0.743 1.400 14.051 9.927 1.416 250300 0.846 0.657 1.288 1.040 0.744 1.399 14.307 10.183 1.405 300350 0.895 0.706 1.268 1.043 0.746 1.398 14.427 10.302 1.400 350
400 0.939 0.750 1.252 1.047 0.751 1.395 14.476 10.352 1.398 400450 0.978 0.790 1.239 1.054 0.757 1.392 14.501 10.377 1.398 450500 1.014 0.825 1.229 1.063 0.767 1.387 14.513 10.389 1.397 500
550 1.046 0.857 1.220 1.075 0.778 1.382 14.530 10.405 1.396 550600 1.075 0.886 1.213 1.087 0.790 1.376 14.546 10.422 1.396 600650 1.102 0.913 1.207 1.100 0.803 1.370 14.571 10.447 1.395 650
700 1.126 0.937 1.202 1.113 0.816 1.364 14.604 10.480 1.394 700750 1.148 0.959 1.197 1.126 0.829 1.358 14.645 10.521 1.392 750800 1.169 0.980 1.193 1.139 0.842 1.353 14.695 10.570 1.390 800
900 1.204 1.015 1.186 1.163 0.866 1.343 14.822 10.698 1.385 9001000 1.234 1.045 1.181 1.185 0.888 1.335 14.983 10.859 1.380 1000
Source: Adapted from K. Wark, Thermodynamics, 4th ed., McGraw-Hill, New York, 1983, as based on “Tables of Thermal Properties of Gases,” NBS Circular 564, 1955.
#
Tables in SI Units 755
TABLE A-21 Variation of with Temperature for Selected Ideal Gases
T is in K, equations valid from 300 to 1000 K
Gas � � � 103 � � 106 � � 109 � � 1012
CO 3.710 �1.619 3.692 �2.032 0.240CO2 2.401 8.735 �6.607 2.002 0H2 3.057 2.677 �5.810 5.521 �1.812H2O 4.070 �1.108 4.152 �2.964 0.807
O2 3.626 �1.878 7.055 �6.764 2.156N2 3.675 �1.208 2.324 �0.632 �0.226Air 3.653 �1.337 3.294 �1.913 0.2763SO2 3.267 5.324 0.684 �5.281 2.559
CH4 3.826 �3.979 24.558 �22.733 6.963C2H2 1.410 19.057 �24.501 16.391 �4.135C2H4 1.426 11.383 7.989 �16.254 6.749
Monatomic gasesa 2.5 0 0 0 0
aFor monatomic gases, such as He, Ne, and Ar, is constant over a wide temperature range and is very nearlyequal to 5�2 .
Source: Adapted from K. Wark, Thermodynamics, 4th ed., McGraw-Hill, New York, 1983, as based on NASASP-273, U.S. Government Printing Office, Washington, DC, 1971.
Rcp
cp
R� a bT gT 2 dT 3 eT 4
cp
Tabl
e A
-21
756 Tables in SI Units
TABLE A-22 Ideal Gas Properties of Air
T(K), h and u(kJ/kg), s� (kJ/kg K)
when �s � 01 when �s � 0
T h u s� pr vr T h u s� pr vr
200 199.97 142.56 1.29559 0.3363 1707. 450 451.80 322.62 2.11161 5.775 223.6210 209.97 149.69 1.34444 0.3987 1512. 460 462.02 329.97 2.13407 6.245 211.4220 219.97 156.82 1.39105 0.4690 1346. 470 472.24 337.32 2.15604 6.742 200.1230 230.02 164.00 1.43557 0.5477 1205. 480 482.49 344.70 2.17760 7.268 189.5240 240.02 171.13 1.47824 0.6355 1084. 490 492.74 352.08 2.19876 7.824 179.7
250 250.05 178.28 1.51917 0.7329 979. 500 503.02 359.49 2.21952 8.411 170.6260 260.09 185.45 1.55848 0.8405 887.8 510 513.32 366.92 2.23993 9.031 162.1270 270.11 192.60 1.59634 0.9590 808.0 520 523.63 374.36 2.25997 9.684 154.1280 280.13 199.75 1.63279 1.0889 738.0 530 533.98 381.84 2.27967 10.37 146.7285 285.14 203.33 1.65055 1.1584 706.1 540 544.35 389.34 2.29906 11.10 139.7
290 290.16 206.91 1.66802 1.2311 676.1 550 554.74 396.86 2.31809 11.86 133.1295 295.17 210.49 1.68515 1.3068 647.9 560 565.17 404.42 2.33685 12.66 127.0300 300.19 214.07 1.70203 1.3860 621.2 570 575.59 411.97 2.35531 13.50 121.2305 305.22 217.67 1.71865 1.4686 596.0 580 586.04 419.55 2.37348 14.38 115.7310 310.24 221.25 1.73498 1.5546 572.3 590 596.52 427.15 2.39140 15.31 110.6
315 315.27 224.85 1.75106 1.6442 549.8 600 607.02 434.78 2.40902 16.28 105.8320 320.29 228.42 1.76690 1.7375 528.6 610 617.53 442.42 2.42644 17.30 101.2325 325.31 232.02 1.78249 1.8345 508.4 620 628.07 450.09 2.44356 18.36 96.92330 330.34 235.61 1.79783 1.9352 489.4 630 638.63 457.78 2.46048 19.84 92.84340 340.42 242.82 1.82790 2.149 454.1 640 649.22 465.50 2.47716 20.64 88.99
350 350.49 250.02 1.85708 2.379 422.2 650 659.84 473.25 2.49364 21.86 85.34360 360.58 257.24 1.88543 2.626 393.4 660 670.47 481.01 2.50985 23.13 81.89370 370.67 264.46 1.91313 2.892 367.2 670 681.14 488.81 2.52589 24.46 78.61380 380.77 271.69 1.94001 3.176 343.4 680 691.82 496.62 2.54175 25.85 75.50390 390.88 278.93 1.96633 3.481 321.5 690 702.52 504.45 2.55731 27.29 72.56
400 400.98 286.16 1.99194 3.806 301.6 700 713.27 512.33 2.57277 28.80 69.76410 411.12 293.43 2.01699 4.153 283.3 710 724.04 520.23 2.58810 30.38 67.07420 421.26 300.69 2.04142 4.522 266.6 720 734.82 528.14 2.60319 32.02 64.53430 431.43 307.99 2.06533 4.915 251.1 730 745.62 536.07 2.61803 33.72 62.13440 441.61 315.30 2.08870 5.332 236.8 740 756.44 544.02 2.63280 35.50 59.82
1. pr and vr data for use with Eqs. 6.43 and 6.44, respectively.
#
Tabl
e A
-22
Tables in SI Units 757
TABLE A-22 (Continued)
T(K), h and u(kJ/kg), s� (kJ/kg K)
when �s � 01 when �s � 0
T h u s� pr vr T h u s� pr vr
750 767.29 551.99 2.64737 37.35 57.63 1300 1395.97 1022.82 3.27345 330.9 11.275760 778.18 560.01 2.66176 39.27 55.54 1320 1419.76 1040.88 3.29160 352.5 10.747770 789.11 568.07 2.67595 41.31 53.39 1340 1443.60 1058.94 3.30959 375.3 10.247780 800.03 576.12 2.69013 43.35 51.64 1360 1467.49 1077.10 3.32724 399.1 9.780790 810.99 584.21 2.70400 45.55 49.86 1380 1491.44 1095.26 3.34474 424.2 9.337
800 821.95 592.30 2.71787 47.75 48.08 1400 1515.42 1113.52 3.36200 450.5 8.919820 843.98 608.59 2.74504 52.59 44.84 1420 1539.44 1131.77 3.37901 478.0 8.526840 866.08 624.95 2.77170 57.60 41.85 1440 1563.51 1150.13 3.39586 506.9 8.153860 888.27 641.40 2.79783 63.09 39.12 1460 1587.63 1168.49 3.41247 537.1 7.801880 910.56 657.95 2.82344 68.98 36.61 1480 1611.79 1186.95 3.42892 568.8 7.468
900 932.93 674.58 2.84856 75.29 34.31 1500 1635.97 1205.41 3.44516 601.9 7.152920 955.38 691.28 2.87324 82.05 32.18 1520 1660.23 1223.87 3.46120 636.5 6.854940 977.92 708.08 2.89748 89.28 30.22 1540 1684.51 1242.43 3.47712 672.8 6.569960 1000.55 725.02 2.92128 97.00 28.40 1560 1708.82 1260.99 3.49276 710.5 6.301980 1023.25 741.98 2.94468 105.2 26.73 1580 1733.17 1279.65 3.50829 750.0 6.046
1000 1046.04 758.94 2.96770 114.0 25.17 1600 1757.57 1298.30 3.52364 791.2 5.8041020 1068.89 776.10 2.99034 123.4 23.72 1620 1782.00 1316.96 3.53879 834.1 5.5741040 1091.85 793.36 3.01260 133.3 22.39 1640 1806.46 1335.72 3.55381 878.9 5.3551060 1114.86 810.62 3.03449 143.9 21.14 1660 1830.96 1354.48 3.56867 925.6 5.1471080 1137.89 827.88 3.05608 155.2 19.98 1680 1855.50 1373.24 3.58335 974.2 4.949
1100 1161.07 845.33 3.07732 167.1 18.896 1700 1880.1 1392.7 3.5979 1025 4.7611120 1184.28 862.79 3.09825 179.7 17.886 1750 1941.6 1439.8 3.6336 1161 4.3281140 1207.57 880.35 3.11883 193.1 16.946 1800 2003.3 1487.2 3.6684 1310 3.9441160 1230.92 897.91 3.13916 207.2 16.064 1850 2065.3 1534.9 3.7023 1475 3.6011180 1254.34 915.57 3.15916 222.2 15.241 1900 2127.4 1582.6 3.7354 1655 3.295
1200 1277.79 933.33 3.17888 238.0 14.470 1950 2189.7 1630.6 3.7677 1852 3.0221220 1301.31 951.09 3.19834 254.7 13.747 2000 2252.1 1678.7 3.7994 2068 2.7761240 1324.93 968.95 3.21751 272.3 13.069 2050 2314.6 1726.8 3.8303 2303 2.5551260 1348.55 986.90 3.23638 290.8 12.435 2100 2377.4 1775.3 3.8605 2559 2.3561280 1372.24 1004.76 3.25510 310.4 11.835 2150 2440.3 1823.8 3.8901 2837 2.175
2200 2503.2 1872.4 3.9191 3138 2.0122250 2566.4 1921.3 3.9474 3464 1.864
Source: Tables A-22 are based on J. H. Keenan and J. Kaye, Gas Tables, Wiley, New York, 1945.
#
Tabl
e A
-22
Tabl
e A
-23
758
TAB
LE A
-23
l G
as P
rope
rtie
s of
Sel
ecte
d G
ases
T(K
),an
d (k
J/km
ol),
(kJ/
kmol
K)
Car
bon
Dio
xide
,C
O2
Car
bon
Mon
oxid
e,C
OW
ater
Vap
or,
H2O
Oxy
gen,
O2
Nitr
ogen
,N
2
(�
�39
3,52
0 kJ
/km
ol)
(�
�11
0,53
0 kJ
/km
ol)
(�
�24
1,82
0 kJ
/km
ol)
(�
0 k
J/km
ol)
(�
0 k
J/km
ol)
TT
00
00
00
00
00
00
00
00
022
06,
601
4,77
220
2.96
66,
391
4,56
218
8.68
37,
295
5,46
617
8.57
66,
404
4,57
519
6.17
16,
391
4,56
218
2.63
822
023
06,
938
5,02
620
4.46
46,
683
4,77
118
9.98
07,
628
5,71
518
0.05
46,
694
4,78
219
7.46
16,
683
4,77
018
3.93
823
024
07,
280
5,28
520
5.92
06,
975
4,97
919
1.22
17,
961
5,96
518
1.47
16,
984
4,98
919
8.69
66,
975
4,97
918
5.18
024
025
07,
627
5,54
820
7.33
77,
266
5,18
819
2.41
18,
294
6,21
518
2.83
17,
275
5,19
719
9.88
57,
266
5,18
818
6.37
025
260
7,97
95,
817
208.
717
7,55
85,
396
193.
554
8,62
76,
466
184.
139
7,56
65,
405
201.
027
7,55
85,
396
187.
514
260
270
8,33
56,
091
210.
062
7,84
95,
604
194.
654
8,96
16,
716
185.
399
7,85
85,
613
202.
128
7,84
95,
604
188.
614
270
280
8,69
76,
369
211.
376
8,14
05,
812
195.
173
9,29
66,
968
186.
616
8,15
05,
822
203.
191
8,14
15,
813
189.
673
280
290
9,06
36,
651
212.
660
8,43
26,
020
196.
735
9,63
17,
219
187.
791
8,44
36,
032
204.
218
8,43
26,
021
190.
695
290
298
9,36
46,
885
213.
685
8,66
96,
190
197.
543
9,90
47,
425
188.
720
8,68
26,
203
205.
033
8,66
96,
190
191.
502
298
300
9,43
16,
939
213.
915
8,72
36,
229
197.
723
9,96
67,
472
188.
928
8,73
66,
242
205.
213
8,72
36,
229
191.
682
300
310
9,80
77,
230
215.
146
9,01
46,
437
198.
678
10,3
027,
725
190.
030
9,03
06,
453
206.
177
9,01
46,
437
192.
638
310
320
10,1
867,
526
216.
351
9,30
66,
645
199.
603
10,6
397,
978
191.
098
9,32
56,
664
207.
112
9,30
66,
645
193.
562
320
330
10,5
707,
826
217.
534
9,59
76,
854
200.
500
10,9
768,
232
192.
136
9,62
06,
877
208.
020
9,59
76,
853
194.
459
330
340
10,9
598,
131
218.
694
9,88
97,
062
201.
371
11,3
148,
487
193.
144
9,91
67,
090
208.
904
9,88
87,
061
195.
328
340
350
11,3
518,
439
219.
831
10,1
817,
271
202.
217
11,6
528,
742
194.
125
10,2
137,
303
209.
765
10,1
807,
270
196.
173
350
360
11,7
488,
752
220.
948
10,4
737,
480
203.
040
11,9
928,
998
195.
081
10,5
117,
518
210.
604
10,4
717,
478
196.
995
360
370
12,1
489,
068
222.
044
10,7
657,
689
203.
842
12,3
319,
255
196.
012
10,8
097,
733
211.
423
10,7
637,
687
197.
794
370
380
12,5
529,
392
223.
122
11,0
587,
899
204.
622
12,6
729,
513
196.
920
11,1
097,
949
212.
222
11,0
557,
895
198.
572
380
390
12,9
609,
718
224.
182
11,3
518,
108
205.
383
13,0
149,
771
197.
807
11,4
098,
166
213.
002
11,3
478,
104
199.
331
390
400
13,3
7210
,046
225.
225
11,6
448,
319
206.
125
13,3
5610
,030
198.
673
11,7
118,
384
213.
765
11,6
408,
314
200.
071
400
410
13,7
8710
,378
226.
250
11,9
388,
529
206.
850
13,6
9910
,290
199.
521
12,0
128,
603
214.
510
11,9
328,
523
200,
794
410
420
14,2
0610
,714
227.
258
12,2
328,
740
207.
549
14,0
4310
,551
200.
350
12,3
148,
822
215.
241
12,2
258,
733
201.
499
420
430
14,6
2811
,053
228.
252
12,5
268,
951
208.
252
14,3
8810
,813
201.
160
12,6
189,
043
215.
955
12,5
188,
943
202.
189
430
440
15,0
5411
,393
229.
230
12,8
219,
163
208.
929
14,7
3411
,075
201.
955
12,9
239,
264
216.
656
12,8
119,
153
202.
863
440
450
15,4
8311
,742
230.
194
13,1
169,
375
209.
593
15,0
8011
,339
202.
734
13,2
289,
487
217.
342
13,1
059,
363
203.
523
450
460
15,9
1612
,091
231.
144
13,4
129,
587
210.
243
15,4
2811
,603
203.
497
13,5
359,
710
218.
016
13,3
999,
574
204.
170
460
470
16,3
5112
,444
232.
080
13,7
089,
800
210.
880
15,7
7711
,869
204.
247
13,8
429,
935
218.
676
13,6
939,
786
204.
803
470
480
16,7
9112
,800
233.
004
14,0
0510
,014
211.
504
16,1
2612
,135
204.
982
14,1
5110
,160
219.
326
13,9
889,
997
205.
424
480
490
17,2
3213
,158
233.
916
14,3
0210
,228
212.
117
16,4
7712
,403
205.
705
14,4
6010
,386
219.
963
14,2
8510
,210
206.
033
490
500
17,6
7813
,521
234.
814
14,6
0010
,443
212.
719
16,8
2812
,671
206.
413
14,7
7010
,614
220.
589
14,5
8110
,423
206.
630
500
510
18,1
2613
,885
235.
700
14,8
9810
,658
213.
310
17,1
8112
,940
207.
112
15,0
8210
,842
221.
206
14,8
7610
,635
207.
216
510
520
18,5
7614
,253
236.
575
15,1
9710
,874
213.
890
17,5
3413
,211
207.
799
15,3
9511
,071
221.
812
15,1
7210
,848
207.
792
520
530
19,0
2914
,622
237.
439
15,4
9711
,090
214.
460
17,8
8913
,482
208.
475
15,7
0811
,301
222.
409
15,4
6911
,062
208.
358
530
540
19,4
8514
,996
238.
292
15,7
9711
,307
215.
020
18,2
4513
,755
209.
139
16,0
2211
,533
222.
997
15,7
6611
,277
208.
914
540
550
19,9
4515
,372
239.
135
16,0
9711
,524
215.
572
18,6
0114
,028
209.
795
16,3
3811
,765
223.
576
16,0
6411
,492
209.
461
550
560
20,4
0715
,751
239.
962
16,3
9911
,743
216.
115
18,9
5914
,303
210.
440
16,6
5411
,998
224.
146
16,3
6311
,707
209.
999
560
570
20,8
7016
,131
240.
789
16,7
0111
,961
216.
649
19,3
1814
,579
211.
075
16,9
7112
,232
224.
708
16,6
6211
,923
210.
528
570
580
21,3
3716
,515
241.
602
17,0
0312
,181
217.
175
19.6
7814
,856
211.
702
17,2
9012
,467
225.
262
16,9
6212
,139
211.
049
580
590
21,8
0716
,902
242.
405
17,3
0712
,401
217.
693
20,0
3915
,134
212.
320
17,6
0912
,703
225.
808
17,2
6212
,356
211.
562
590
s°u
hs°
uh
s°u
hs°
uh
s°u
h
h°f
h°f
h°f
h°f
h°f
#s °
uh
Tabl
e A
-23
759
TAB
LE A
-23
(Con
tinu
ed)
T(K
),an
d (k
J/km
ol),
(kJ/
kmol
K)
Car
bon
Dio
xide
,C
O2
Car
bon
Mon
oxid
e,C
OW
ater
Vap
or,
H2O
Oxy
gen,
O2
Nitr
ogen
,N
2
(�
�39
3,52
0 kJ
/km
ol)
(�
�11
0,53
0 kJ
/km
ol)
(�
�24
1,82
0 kJ
/km
ol)
(�
0 k
J/km
ol)
(�
0 k
J/km
ol)
TT
600
22,2
8017
,291
243.
199
17,6
1112
,622
218.
204
20,4
0215
,413
212.
920
17,9
2912
,940
226.
346
17,5
6312
,574
212.
066
600
610
22,7
5417
,683
243.
983
17,9
1512
,843
218.
708
20,7
6515
,693
213.
529
18,2
5013
,178
226.
877
17,8
6412
,792
212.
564
610
620
23,2
3118
,076
244.
758
18,2
2113
,066
219.
205
21,1
3015
,975
214.
122
18,5
7213
,417
227.
400
18,1
6613
,011
213.
055
620
630
23,7
0918
,471
245.
524
18,5
2713
,289
219.
695
21,4
9516
,257
214.
707
18,8
9513
,657
227.
918
18,4
6813
,230
213.
541
630
640
24,1
9018
,869
246.
282
18,8
3313
,512
220.
179
21,8
6216
,541
215.
285
19,2
1913
,898
228.
429
18,7
7213
,450
214.
018
640
650
24,6
7419
,270
247.
032
19,1
4113
,736
220.
656
22,2
3016
,826
215.
856
19,5
4414
,140
228.
932
19,0
7513
,671
214.
489
650
660
25,1
6019
,672
247,
773
19,4
4913
,962
221.
127
22,6
0017
,112
216.
419
19,8
7014
,383
229.
430
19,3
8013
,892
214.
954
660
670
25,6
4820
,078
248.
507
19,7
5814
,187
221.
592
22,9
7017
,399
216.
976
20,1
9714
,626
229.
920
19,6
8514
,114
215.
413
670
680
26,1
3820
,484
249.
233
20,0
6814
,414
222.
052
23,3
4217
,688
217.
527
20,5
2414
,871
230.
405
19,9
9114
,337
215.
866
680
690
26,6
3120
,894
249.
952
20,3
7814
,641
222.
505
23,7
1417
,978
218.
071
20,8
5415
,116
230.
885
20,2
9714
,560
216.
314
690
700
27,1
2521
,305
250.
663
20,6
9014
,870
222.
953
24,0
8818
,268
218.
610
21,1
8415
,364
231.
358
20,6
0414
,784
216.
756
700
710
27,6
2221
,719
251.
368
21,0
0215
,099
223.
396
24,4
6418
,561
219.
142
21,5
1415
,611
231.
827
20,9
1215
,008
217.
192
710
720
28,1
2122
,134
252.
065
21,3
1515
,328
223.
833
24,8
4018
,854
219.
668
21,8
4515
,859
232.
291
21,2
2015
,234
217.
624
720
730
28,6
2222
,552
252.
755
21,6
2815
,558
224.
265
25,2
1819
,148
220.
189
22,1
7716
,107
232.
748
21,5
2915
,460
218.
059
730
740
29,1
2422
,972
253.
439
21,9
4315
,789
224.
692
25,5
9719
,444
220.
707
22,5
1016
,357
233.
201
21,8
3915
,686
218.
472
740
750
29,6
2923
,393
254.
117
22,2
5816
,022
225.
115
25,9
7719
,741
221.
215
22,8
4416
,607
233.
649
22,1
4915
,913
218.
889
750
760
30,1
3523
,817
254.
787
22,5
7316
,255
225.
533
26,3
5820
,039
221.
720
23,1
7816
,859
234.
091
22,4
6016
,141
219.
301
760
770
30,6
4424
,242
255,
452
22,8
9016
,488
225.
947
26,7
4120
,339
222.
221
23,5
1317
,111
234.
528
22,7
7216
,370
219.
709
770
780
31,1
5424
,669
256.
110
23,2
0816
,723
226.
357
27,1
2520
,639
222.
717
23,8
5017
,364
234.
960
23,0
8516
,599
220.
113
780
790
31,6
6525
,097
256.
762
23,5
2616
,957
226.
762
27,5
1020
,941
223.
207
24,1
8617
,618
235.
387
23,3
9816
,830
220.
512
790
800
32,1
7925
,527
257.
408
23,8
4417
,193
227.
162
27,8
9621
,245
223.
693
24,5
2317
,872
235.
810
23,7
1417
,061
220.
907
800
810
32,6
9425
,959
258.
048
24,1
6417
,429
227.
559
28,2
8421
,549
224.
174
24,8
6118
,126
236.
230
24,0
2717
,292
221.
298
810
820
33,2
1226
,394
258.
682
24,4
8317
,665
227.
952
28,6
7221
,855
224.
651
25,1
9918
,382
236.
644
24,3
4217
,524
221.
684
820
830
33,7
3026
,829
259.
311
24,8
0317
,902
228.
339
29,0
6222
,162
225.
123
25,5
3718
,637
237.
055
24,6
5817
,757
222.
067
830
840
34,2
5127
,267
259.
934
25,1
2418
,140
228.
724
29,4
5422
,470
225.
592
25,8
7718
,893
237.
462
24,9
7417
,990
222.
447
840
850
34,7
7327
,706
260.
551
25,4
4618
,379
229,
106
29,8
4622
,779
226.
057
26,2
1819
,150
237.
864
25,2
9218
,224
222.
822
850
860
35,2
9628
,125
261.
164
25,7
6818
,617
229,
482
30,2
4023
,090
226.
517
26,5
5919
,408
238.
264
25,6
1018
,459
223.
194
860
870
35,8
2128
,588
261.
770
26.0
9118
,858
229.
856
30,6
3523
,402
226.
973
26,8
9919
,666
238.
660
25,9
2818
,695
223.
562
870
880
36,3
4729
,031
262.
371
26,4
1519
,099
230.
227
31,0
3223
,715
227.
426
27,2
4219
,925
239.
051
26,2
4818
,931
223.
927
880
890
36,8
7629
,476
262.
968
26,7
4019
,341
230.
593
31,4
2924
,029
227.
875
27,5
8420
,185
239.
439
26,5
6819
,168
224.
288
890
900
37,4
0529
,922
263.
559
27,0
6619
,583
230.
957
31,8
2824
,345
228.
321
27,9
2820
,445
239.
823
26,8
9019
,407
224.
647
900
910
37,9
3530
,369
264.
146
27,3
9219
,826
231.
317
32,2
2824
,662
228.
763
28,2
7220
,706
240.
203
27,2
1019
,644
225.
002
910
920
38,4
6730
,818
264.
728
27,7
1920
,070
231.
674
32,6
2924
,980
229.
202
28,6
1620
,967
240.
580
27,5
3219
,883
225.
353
920
930
39,0
0031
,268
265.
304
28,0
4620
,314
232.
028
33,0
3225
,300
229.
637
28,9
6021
,228
240.
953
27,8
5420
,122
225.
701
930
940
39,5
3531
,719
265.
877
28,3
7520
,559
232.
379
33,4
3625
,621
230.
070
29,3
0621
,491
241.
323
28,1
7820
,362
226.
047
940
950
40,0
7032
,171
266.
444
28,7
0320
,805
232.
727
33,8
4125
,943
230.
499
29,6
5221
,754
241.
689
28,5
0120
,603
226.
389
950
960
40,6
0732
,625
267.
007
29,0
3321
,051
233.
072
34,2
4726
,265
230.
924
29,9
9922
,017
242.
052
28,8
2620
,844
226.
728
960
970
41,1
4533
,081
267.
566
29,3
6221
,298
233.
413
34,6
5326
,588
231.
347
30,3
4522
,280
242.
411
29,1
5121
,086
227.
064
970
980
41,6
8533
,537
268.
119
29,6
9321
,545
233.
752
35,0
6126
,913
231.
767
30,6
9222
,544
242.
768
29,4
7621
,328
227.
398
980
990
42,2
2633
,995
268.
670
30,0
2421
,793
234.
088
35,4
7227
,240
232.
184
31.0
4122
,809
243.
120
29,8
0321
,571
227.
728
990
s°u
hs°
uh
s°u
hs°
uh
s°u
h
h°f
h°f
h°f
h°f
h°f
#s °
uh
TAB
LE A
-23
(Con
tinu
ed)
T(K
),an
d (k
J/km
ol),
(kJ/
kmol
K)
Car
bon
Dio
xide
,C
O2
Car
bon
Mon
oxid
e,C
OW
ater
Vap
or,
H2O
Oxy
gen,
O2
Nitr
ogen
,N
2
(�
�39
3,52
0 kJ
/km
ol)
(�
�11
0,53
0 kJ
/km
ol)
(�
�24
1,82
0 kJ
/km
ol)
(�
0 k
J/km
ol)
(�
0 k
J/km
ol)
TT
1000
42,7
6934
,455
269.
215
30,3
5522
,041
234.
421
35,8
8227
,568
232.
597
31,3
8923
,075
243.
471
30,1
2921
,815
228.
057
1000
1020
43,8
5935
,378
270.
293
31,0
2022
,540
235.
079
36,7
0928
,228
233.
415
32,0
8823
,607
244.
164
30,7
8422
,304
228.
706
1020
1040
44,9
5336
,306
271.
354
31,6
8823
,041
235.
728
37,5
4228
,895
234.
223
32,7
8924
,142
244.
844
31,4
4222
,795
229.
344
1040
1060
46,0
5137
,238
272.
400
32,3
5723
,544
236.
364
38,3
8029
,567
235.
020
33,4
9024
,677
245.
513
32,1
0123
,288
229.
973
1060
1080
47,1
5338
,174
273.
430
33,0
2924
,049
236.
992
39,2
2330
,243
235.
806
34,1
9425
,214
246.
171
32,7
6223
,782
230.
591
1080
1100
48,2
5839
,112
274.
445
33,7
0224
,557
237.
609
40,0
7130
,925
236.
584
34,8
9925
,753
246.
818
33,4
2624
,280
231.
199
1100
1120
49,3
6940
,057
275.
444
34,3
7725
,065
238.
217
40,9
2331
,611
237.
352
35,6
0626
,294
247.
454
34,0
9224
,780
231.
799
1120
1140
50,4
8441
,006
276.
430
35,0
5425
,575
238.
817
41,7
8032
,301
238.
110
36,3
1426
,836
248.
081
34,7
6025
,282
232.
391
1140
1160
51,6
0241
,957
277.
403
35,7
3326
,088
239.
407
42,6
4232
,997
238.
859
37,0
2327
,379
248.
698
35,4
3025
,786
232.
973
1160
1180
52,7
2442
,913
278.
362
36,4
0626
,602
239.
989
43,5
0933
,698
239.
600
37,7
3427
,923
249.
307
36,1
0426
,291
233.
549
1180
1200
53,8
4843
,871
279.
307
37,0
9527
,118
240.
663
44,3
8034
,403
240.
333
38,4
4728
,469
249.
906
36,7
7726
,799
234.
115
1200
1220
54,9
7744
,834
280.
238
37,7
8027
,637
241.
128
45,2
5635
,112
241.
057
39,1
6229
,018
250.
497
37,4
5227
,308
234.
673
1220
1240
56,1
0845
,799
281.
158
38,4
6628
,426
241.
686
46,1
3735
,827
241.
773
39,8
7729
,568
251.
079
38,1
2927
,819
235.
223
1240
1260
57,2
4446
,768
282.
066
39,1
5428
,678
242.
236
47,0
2236
,546
242.
482
40,5
9430
,118
251.
653
38,8
0728
,331
235.
766
1260
1280
58,3
8147
,739
282.
962
39,8
8429
,201
242.
780
47,9
1237
,270
243.
183
41,3
1230
,670
252.
219
39,4
8828
,845
236.
302
1280
1300
59,5
2248
,713
283.
847
40,5
3429
,725
243.
316
48,8
0738
,000
243.
877
42,0
3331
,224
252.
776
40,1
7029
,361
236.
831
1300
1320
60,6
6649
,691
284.
722
41,2
6630
,251
243.
844
49,7
0738
,732
244.
564
42,7
5331
,778
253.
325
40,8
5329
,878
237.
353
1320
1340
61,8
1350
,672
285.
586
41,9
1930
,778
244.
366
50,6
1239
,470
245.
243
43,4
7532
,334
253.
868
41,5
3930
,398
237.
867
1340
1360
62,9
6351
,656
286.
439
42,6
1331
,306
244.
880
51,5
2140
,213
245.
915
44,1
9832
,891
254.
404
42,2
2730
,919
238.
376
1360
1380
64,1
1652
,643
287.
283
43,3
0931
,836
245.
388
52,4
3440
,960
246.
582
44,9
2333
,449
254.
932
42,9
1531
,441
238.
878
1380
1400
65,2
7153
,631
288.
106
44,0
0732
,367
245.
889
53,3
5141
,711
247.
241
45,6
4834
,008
255.
454
43,6
0531
,964
239.
375
1400
1420
66,4
2754
,621
288.
934
44,7
0732
,900
246.
385
54,2
7342
,466
247.
895
46,3
7434
,567
255.
968
44,2
9532
,489
239.
865
1420
1440
67,5
8655
,614
289.
743
45,4
0833
,434
246.
876
55,1
9843
,226
248.
543
47,1
0235
,129
256.
475
44,9
8833
,014
240.
350
1440
1460
68,7
4856
,609
290.
542
46,1
1033
,971
247.
360
56,1
2843
,989
249.
185
47,8
3135
,692
256.
978
45,6
8233
,543
240.
827
1460
1480
69,9
1157
,606
291.
333
46,8
1334
,508
247.
839
57,0
6244
,756
249.
820
48,5
6136
,256
257.
474
46,3
7734
,071
241.
301
1480
1500
71,0
7858
,606
292.
114
47,5
1735
,046
248.
312
57,9
9945
,528
250.
450
49,2
9236
,821
257.
965
47,0
7334
,601
241.
768
1500
1520
72,2
4659
,609
292.
888
48,2
2235
,584
248.
778
58,9
4246
,304
251.
074
50,0
2437
,387
258.
450
47,7
7135
,133
242.
228
1520
1540
73,4
1760
,613
292.
654
48,9
2836
,124
249.
240
59,8
8847
,084
251.
693
50,7
5637
,952
258.
928
48,4
7035
,665
242.
685
1540
1560
74,5
9061
,620
294.
411
49,6
3536
,665
249.
695
60,8
3847
,868
252.
305
51,4
9038
,520
259.
402
49,1
6836
,197
243.
137
1560
1580
76,7
6762
,630
295.
161
50,3
4437
,207
250.
147
61,7
9248
,655
252.
912
52,2
2439
,088
259.
870
49,8
6936
,732
243.
585
1580
1600
76,9
4463
,741
295.
901
51,0
5337
,750
250.
592
62,7
4849
,445
253.
513
52,9
6139
,658
260.
333
50,5
7137
,268
244.
028
1600
1620
78,1
2364
,653
296.
632
51,7
6338
,293
251.
033
63,7
0952
,240
254.
111
53,6
9640
,227
260.
791
51,2
7537
,806
244.
464
1620
1640
79,3
0365
,668
297.
356
52,4
7238
,837
251.
470
64,6
7551
,039
254.
703
54,4
3440
,799
261.
242
51,9
8038
,344
244.
896
1640
1660
80,4
8666
,592
298.
072
53,1
8439
,382
251.
901
65,6
4351
,841
255.
290
55,1
7241
,370
261.
690
52,6
8638
,884
245.
324
1660
1680
81,6
7067
,702
298.
781
53,8
9539
,927
252.
329
66,6
1452
,646
255.
873
55,9
1241
,944
262.
132
53,3
9339
,424
245.
747
1680
1700
82,8
5668
,721
299.
482
54,6
0940
,474
252.
751
67,5
8953
,455
256.
450
56,6
5242
,517
262.
571
54,0
9939
,965
246.
166
1700
1720
84,0
4369
,742
300.
177
55,3
2341
,023
253.
169
68,5
6754
,267
257.
022
57,3
9443
,093
263.
005
54,8
0740
,507
246.
580
1720
1740
85,2
3170
,764
300.
863
56,0
3941
,572
253.
582
69,5
5055
,083
257.
589
58,1
3643
,669
263.
435
55,5
1641
,049
246.
990
1740
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#s °
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Tabl
e A
-23
760
TAB
LE A
-23
(Con
tinu
ed)
T(K
),an
d (k
J/km
ol),
(kJ/
kmol
K)
Car
bon
Dio
xide
,C
O2
Car
bon
Mon
oxid
e,C
OW
ater
Vap
or,
H2O
Oxy
gen,
O2
Nitr
ogen
,N
2
(�
�39
3,52
0 kJ
/km
ol)
(�
�11
0,53
0 kJ
/km
ol)
(�
�24
1,82
0 kJ
/km
ol)
(�
0 k
J/km
ol)
(�
0 k
J/km
ol)
TT
1760
86,4
2071
,787
301.
543
56,7
5642
,123
253.
991
70,5
3555
,902
258.
151
58,8
0044
,247
263.
861
56,2
2741
,594
247.
396
1760
1780
87,6
1272
,812
302.
271
57,4
7342
,673
254.
398
71,5
2356
,723
258.
708
59,6
2444
,825
264.
283
56,9
3842
,139
247.
798
1780
1800
88,8
0673
,840
302.
884
58,1
9143
,225
254.
797
72,5
1357
,547
259.
262
60,3
7145
,405
264.
701
57,6
5142
,685
248.
195
1800
1820
90,0
0074
,868
303.
544
58,9
1043
,778
255.
194
73,5
0758
,375
259.
811
61,1
1845
,986
265.
113
58,3
6343
,231
248.
589
1820
1840
91,1
9675
,897
304.
198
59,6
2944
,331
255.
587
74,5
0659
,207
260.
357
61,8
6646
,568
265.
521
59,0
7543
,777
248.
979
1840
1860
92,3
9476
,929
304.
845
60,3
5144
,886
255.
976
75,5
0660
,042
260.
898
62,6
1647
,151
265.
925
59,7
9044
,324
249.
365
1860
1880
93,5
9377
,962
305.
487
61,0
7245
,441
256.
361
76,5
1160
,880
261.
436
63,3
6547
,734
266.
326
60,5
0444
,873
249.
748
1880
1900
94,7
9378
,996
306.
122
61,7
9445
,997
256.
743
77,5
1761
,720
261.
969
64,1
1648
,319
266.
722
61,2
2045
,423
250.
128
1900
1920
95,9
9580
,031
306.
751
62,5
1646
,552
257.
122
78,5
2762
,564
262.
497
64,8
6848
,904
267.
115
61,9
3645
,973
250.
502
1920
1940
97,1
9781
,067
307.
374
63,2
3847
,108
257.
497
79,5
4063
,411
263.
022
65,6
2049
,490
267.
505
62,6
5446
,524
250.
874
1940
1960
98,4
0182
,105
307.
992
63,9
6147
,665
257.
868
80,5
5564
,259
263.
542
66,3
7450
,078
267.
891
63,3
8147
,075
251.
242
1960
1980
99,6
0683
,144
308.
604
64,6
8448
,221
258.
236
81,5
7365
,111
264.
059
67,1
2750
,665
268.
275
64,0
9047
,627
251.
607
1980
2000
100,
804
84,1
8530
9.21
065
,408
48,7
8025
8.60
082
,593
65,9
6526
4.57
167
,881
51,2
5326
8.65
564
,810
48,1
8125
1.96
920
0020
5010
3,83
586
,791
310.
701
67,2
2450
,179
259.
494
85,1
5668
,111
265.
838
69,7
7252
,727
269.
588
66,6
1249
,567
252.
858
2050
2100
106,
864
89,4
0431
2.16
069
,044
51,5
8426
0.37
087
,735
70,2
7526
7.08
171
,668
54,2
0827
0.50
468
,417
50,9
5725
3.72
621
00
2150
109,
898
92,0
2331
3.58
970
,864
52,9
8826
1.22
690
,330
72,4
5426
8.30
173
,573
55,6
9727
1.39
970
,226
52,3
5125
4.57
821
5022
0011
2,93
994
,648
314.
988
72,6
8854
,396
262.
065
92,9
4074
,649
269.
500
75,4
8457
,192
272.
278
72,0
4053
,749
255.
412
2200
2250
115,
984
97,2
7731
6.35
674
,516
55,8
0926
2.88
795
,562
76,8
5527
0.67
977
,397
58,6
9027
3.13
673
,856
55,1
4925
6.22
722
5023
0011
9,03
599
,912
317.
695
76,3
4557
,222
263.
692
98,1
9979
,076
271.
839
79,3
1660
,193
273.
981
75,6
7656
,553
257.
027
2300
2350
122,
091
102,
552
319.
011
78,1
7858
,640
264.
480
100,
846
81,3
0827
2.97
881
,243
61,7
0427
4.80
977
,496
57,9
5825
7.81
023
50
2400
125,
152
105,
197
320.
302
80,0
1560
,060
265.
253
103,
508
83,5
5327
4.09
883
,174
63,2
1927
5.62
579
,320
59,3
6625
8.58
024
0024
5012
8,21
910
7,84
932
1.56
681
,852
61,4
8226
6.01
210
6,18
385
,811
275.
201
85,1
1264
,742
276.
424
81,1
4960
,779
259.
332
2450
2500
131,
290
110,
504
322.
808
83,6
9262
,906
266.
755
108,
868
88,0
8227
6.28
687
,057
66,2
7127
7.20
782
,981
62,1
9526
0.07
325
0025
5013
4,36
811
3,16
632
4.02
685
,537
64,3
3526
7.48
511
1,56
590
,364
277.
354
89,0
0467
,802
277.
979
84,8
1463
,613
260.
799
2550
2600
137,
449
115,
832
325.
222
87,3
8365
,766
268.
202
114,
273
92,6
5627
8.40
790
,956
69,3
3927
8.73
886
,650
65,0
3326
1.51
226
00
2650
140,
533
118,
500
326.
396
89,2
3067
,197
268.
905
116,
991
94,9
5827
9,44
192
,916
70,8
8327
9.48
588
,488
66,4
5526
2.21
326
5027
0014
3,62
012
1,17
232
7.54
991
,077
68,6
2826
9.59
611
9,71
797
,269
280.
462
94,8
8172
,433
280.
219
90,3
2867
,880
262.
902
2700
2750
146,
713
123,
849
328.
684
92,9
3070
,066
270.
285
122,
453
99,5
8828
1.46
496
,852
73,9
8728
0.94
292
,171
69,3
0626
3.57
727
5028
0014
9,80
812
6,52
832
9.80
094
,784
71,5
0427
0.94
312
5,19
810
1,91
728
2.45
398
,826
75,5
4628
1.65
494
,014
70,7
3426
4.24
128
0028
5015
2,90
812
9,21
233
0.89
696
,639
72,9
4527
1.60
212
7,95
210
4,25
628
3.42
910
0,80
877
,112
282.
357
95,8
5972
,163
264.
895
2850
2900
156,
009
131,
898
331.
975
98,4
9574
,383
272.
249
130,
717
106,
605
284.
390
102,
793
78,6
8228
3.04
897
,705
73,5
9326
5.53
829
0029
5015
9,11
713
4,58
933
3.03
710
0,35
275
,825
272.
884
133,
486
108,
959
285.
338
104,
785
80,2
5828
3.72
899
,556
75,0
2826
6.17
029
5030
0016
2,22
613
7,28
333
4.08
410
2,21
077
,267
273.
508
136,
264
111,
321
286.
273
106,
780
81,8
3728
4.39
910
1,40
776
,464
266.
793
3000
3050
165,
341
139,
982
335.
114
104,
073
78,7
1527
4.12
313
9,05
111
3,69
228
7.19
410
8,77
883
,419
285.
060
103,
260
77,9
0226
7.40
430
5031
0016
8,45
614
2,68
133
6.12
610
5,93
980
,164
274.
730
141,
846
116,
072
288.
102
110,
784
85,0
0928
5.71
310
5,11
579
,341
268.
007
3100
3150
171,
576
145,
385
337.
124
107,
802
81,6
1227
5.32
614
4,64
811
8,45
828
8.99
911
2,79
586
,601
286.
355
106,
972
80,7
8226
8.60
131
5032
0017
4,69
514
8,08
933
8.10
910
9,66
783
,061
275.
914
147,
457
120,
851
289.
884
114,
809
88,2
0328
6.98
910
8,83
082
,224
269.
186
3200
3250
177,
822
150,
801
339.
069
111,
534
84,5
1327
6.49
415
0,27
212
3,25
029
0.75
611
6,82
789
,804
287.
614
110,
690
83,6
6826
9.76
332
50
Sour
ce:
Tabl
es A
-23
are
base
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the
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NA
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oche
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able
s,N
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BS-
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1971
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Tabl
e A
-23
761
762 Tables in SI Units
Tabl
e A
-24
TABLE A-24 Constants for the van der Waals, Redlich–Kwong, and Benedict–Webb–Rubin Equations of State
1. van der Waals and Redlich–Kwong: Constants for pressure in bar, specific volume in m3/kmol, and temperature in K
van der Waals Redlich–Kwong
a b a b
Substance
Air 1.368 0.0367 15.989 0.02541Butane (C4H10) 13.86 0.1162 289.55 0.08060Carbon dioxide (CO2) 3.647 0.0428 64.43 0.02963
Carbon monoxide (CO) 1.474 0.0395 17.22 0.02737Methane (CH4) 2.293 0.0428 32.11 0.02965Nitrogen (N2) 1.366 0.0386 15.53 0.02677
Oxygen (O2) 1.369 0.0317 17.22 0.02197Propane (C3H8) 9.349 0.0901 182.23 0.06242Refrigerant 12 10.49 0.0971 208.59 0.06731
Sulfur dioxide (SO2) 6.883 0.0569 144.80 0.03945Water (H2O) 5.531 0.0305 142.59 0.02111
Source: Calculated from critical data.
2. Benedict–Webb–Rubin: Constants for pressure in bar, specific volume in m3/kmol, and temperature in K
Substance a A b B c C � �
C4H10 1.9073 10.218 0.039998 0.12436 3.206 � 105 1.006 � 106 1.101 � 10�3 0.0340CO2 0.1386 2.7737 0.007210 0.04991 1.512 � 104 1.404 � 105 8.47 � 10�5 0.00539CO 0.0371 1.3590 0.002632 0.05454 1.054 � 103 8.676 � 103 1.350 � 10�4 0.0060
CH4 0.0501 1.8796 0.003380 0.04260 2.579 � 103 2.287 � 104 1.244 � 10�4 0.0060N2 0.0254 1.0676 0.002328 0.04074 7.381 � 102 8.166 � 103 1.272 � 10�4 0.0053
Source: H. W. Cooper and J. C. Goldfrank, Hydrocarbon Processing, 46 (12): 141 (1967).
m3
kmolbar a m3
kmolb2
K1�2m3
kmolbar a m3
kmolb2
Tables in SI Units 763
TABLE A-25 Thermochemical Properties of Selected Substances at 298K and 1 atm
Heating Values
Enthalpy of Gibbs Function Absolute Higher, Lower,Molar Mass, Formation, of Formation, Entropy, HHV LHV
Substance Formula M (kg/kmol) (kJ/kmol) (kJ/kmol) (kJ/kmol K) (kJ/kg) (kJ/kg)
Carbon C(s) 12.01 0 0 5.74 32,770 32,770Hydrogen H2(g) 2.016 0 0 130.57 141,780 119,950Nitrogen N2(g) 28.01 0 0 191.50 — —Oxygen O2(g) 32.00 0 0 205.03 — —
Carbon monoxide CO(g) 28.01 �110,530 �137,150 197.54 — —Carbon dioxide CO2(g) 44.01 �393,520 �394,380 213.69 — —Water H2O(g) 18.02 �241,820 �228,590 188.72 — —Water H2O(l) 18.02 �285,830 �237,180 69.95 — —
Hydrogen peroxide H2O2(g) 34.02 �136,310 �105,600 232.63 — —Ammonia NH3(g) 17.03 �46,190 �16,590 192.33 — —Oxygen O(g) 16.00 249,170 231,770 160.95 — —Hydrogen H(g) 1.008 218,000 203,290 114.61 — —
Nitrogen N(g) 14.01 472,680 455,510 153.19 — —Hydroxyl OH(g) 17.01 39,460 34,280 183.75 — —Methane CH4(g) 16.04 �74,850 �50,790 186.16 55,510 50,020Acetylene C2H2(g) 26.04 226,730 209,170 200.85 49,910 48,220
Ethylene C2H2(g) 28.05 52,280 68,120 219.83 50,300 47,160Ethane C2H6(g) 30.07 �84,680 �32,890 229.49 51,870 47,480Propylene C3H6(g) 42.08 20,410 62,720 266.94 48,920 45,780Propane C3H8(g) 44.09 �103,850 �23,490 269.91 50,350 46,360
Butane C4H10(g) 58.12 �126,150 �15,710 310.03 49,500 45,720Pentane C5H12(g) 72.15 �146,440 �8,200 348.40 49,010 45,350Octane C8H18(g) 114.22 �208,450 17,320 463.67 48,260 44,790Octane C8H18(l) 114.22 �249,910 6,610 360.79 47,900 44,430Benzene C6H6(g) 78.11 82,930 129,660 269.20 42,270 40,580
Methyl alcohol CH3OH(g) 32.04 �200,890 �162,140 239.70 23,850 21,110Methyl alcohol CH3OH(l) 32.04 �238,810 �166,290 126.80 22,670 19,920Ethyl alcohol C2H5OH(g) 46.07 �235,310 �168,570 282.59 30,590 27,720Ethyl alcohol C2H5OH(l) 46.07 �277,690 174,890 160.70 29,670 26,800
Source: Based on JANAF Thermochemical Tables, NSRDS-NBS-37, 1971; Selected Values of Chemical Thermodynamic Properties, NBS Tech.Note 270-3, 1968; and API Research Project 44, Carnegie Press, 1953. Heating values calculated.
#g°f
s°h°f
Tabl
e A
-25
764 Tables in SI Units
TABLE A-26 Standard Molar Chemical Exergy, (kJ/kmol), ofSelected Substances at 298 K and p0
Substance Formula Model Ia Model IIb
Nitrogen N2(g) 640 720Oxygen O2(g) 3,950 3,970Carbon dioxide CO2(g) 14,175 19,870Water H2O(g) 8,635 9,500Water H2O(l) 45 900
Carbon (graphite) C(s) 404,590 410,260Hydrogen H2(g) 235,250 236,100Sulfur S(s) 598,160 609,600Carbon monoxide CO(g) 269,410 275,100Sulfur dioxide SO2(g) 301,940 313,400
Nitrogen monoxide NO(g) 88,850 88,900Nitrogen dioxide NO2(g) 55,565 55,600Hydrogen sulfide H2S(g) 799,890 812,000Ammonia NH3(g) 336,685 337,900Methane CH4(g) 824,350 831,650Ethane C2H6(g) 1,482,035 1,495,840
Methyl alcohol CH3OH(g) 715,070 722,300Methyl alcohol CH3OH(l) 710,745 718,000Ethyl alcohol C2H5OH(g) 1,348,330 1,363,900Ethyl alcohol C2H5OH(l) 1,342,085 1,357,700
aJ. Ahrendts, “Die Exergie Chemisch Reaktionsfähiger Systeme,’’ VDI-Forschungsheft, VDI-Verlag, Dusseldorf, 579, 1977. Also see “ReferenceStates,’’ Energy—The International Journal, 5: 667–677, 1980. In Model I,p0 � 1.019 atm. This model attempts to impose a criterion that the referenceenvironment be in equilibrium. The reference substances are determinedassuming restricted chemical equilibrium for nitric acid and nitrates andunrestricted thermodynamic equilibrium for all other chemical components ofthe atmosphere, the oceans, and a portion of the Earth’s crust. The chemicalcomposition of the gas phase of this model approximates the composition ofthe natural atmosphere.bJ. Szargut, D. R. Morris, and F. R. Steward, Exergy Analysis of Thermal,Chemical, and Metallurgical Processes, Hemisphere, New York, 1988. In ModelII, p0 � 1.0 atm. In developing this model a reference substance is selected foreach chemical element from among substances that contain the element beingconsidered and that are abundantly present in the natural environment, eventhough the substances are not in completely mutual stable equilibrium. Anunderlying rationale for this approach is that substances found abundantly innature have little economic value. On an overall basis, the chemical compositionof the exergy reference environment of Model II is closer than Model I to thecomposition of the natural environment, but the equilibrium criterion is notalways satisfied.
e ch
Tabl
e A
-26
Tables in SI Units 765
TABLE A-27 Logarithms to the Base 10 of the Equilibrium Constant K
log10 K
Temp. H2O wx H2O wx CO2wx CO2 H2
wx Temp.K H2
wx 2H O2wx 2O N2
wx 2N wx NO H2 OH CO CO H2O �R
298 �71.224 �81.208 �159.600 �15.171 �40.048 �46.054 �45.066 �5.018 537500 �40.316 �45.880 �92.672 �8.783 �22.886 �26.130 �25.025 �2.139 900
1000 �17.292 �19.614 �43.056 �4.062 �10.062 �11.280 �10.221 �0.159 18001200 �13.414 �15.208 �34.754 �3.275 �7.899 �8.811 �7.764 0.135 21601400 �10.630 �12.054 �28.812 �2.712 �6.347 �7.021 �6.014 0.333 2520
1600 �8.532 �9.684 �24.350 �2.290 �5.180 �5.677 �4.706 0.474 28801700 �7.666 �8.706 �22.512 �2.116 �4.699 �5.124 �4.169 0.530 30601800 �6.896 �7.836 �20.874 �1.962 �4.270 �4.613 �3.693 0.577 32401900 �6.204 �7.058 �19.410 �1.823 �3.886 �4.190 �3.267 0.619 34202000 �5.580 �6.356 �18.092 �1.699 �3.540 �3.776 �2.884 0.656 3600
2100 �5.016 �5.720 �16.898 �1.586 �3.227 �3.434 �2.539 0.688 37802200 �4.502 �5.142 �15.810 �1.484 �2.942 �3.091 �2.226 0.716 39602300 �4.032 �4.614 �14.818 �1.391 �2.682 �2.809 �1.940 0.742 41402400 �3.600 �4.130 �13.908 �1.305 �2.443 �2.520 �1.679 0.764 43202500 �3.202 �3.684 �13.070 �1.227 �2.224 �2.270 �1.440 0.784 4500
2600 �2.836 �3.272 �12.298 �1.154 �2.021 �2.038 �1.219 0.802 46802700 �2.494 �2.892 �11.580 �1.087 �1.833 �1.823 �1.015 0.818 48602800 �2.178 �2.536 �10.914 �1.025 �1.658 �1.624 �0.825 0.833 50402900 �1.882 �2.206 �10.294 �0.967 �1.495 �1.438 �0.649 0.846 52203000 �1.606 �1.898 �9.716 �0.913 �1.343 �1.265 �0.485 0.858 5400
3100 �1.348 �1.610 �9.174 �0.863 �1.201 �1.103 �0.332 0.869 55803200 �1.106 �1.340 �8.664 �0.815 �1.067 �0.951 �0.189 0.878 57603300 �0.878 �1.086 �8.186 �0.771 �0.942 �0.809 �0.054 0.888 59403400 �0.664 �0.846 �7.736 �0.729 �0.824 �0.674 0.071 0.895 61203500 �0.462 �0.620 �7.312 �0.690 �0.712 �0.547 0.190 0.902 6300
Source: Based on data from the JANAF Thermochemical Tables, NSRDS-NBS-37, 1971.
12O2
12H2
12O2
12O2 1
2N2
Tabl
e A
-27