TABLE A–4 994 | Fundamentals of Thermal-Fluid Sciences

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23-R4232-APP1 6/8/07 5:09 PM Page 994
994
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–4
Saturated water—Temperature table
Specific volume,
m3/kg
Temp.,
T °C
Sat.
press.,
Psat kPa
0.01
5
10
15
20
25
30
35
40
45
Internal energy,
kJ/kg
Enthalpy,
kJ/kg
Entropy,
kJ/kg · K
Sat.
liquid,
vf
Sat.
vapor,
vg
Sat.
liquid,
uf
Evap.,
ufg
Sat.
vapor,
ug
Sat.
liquid,
hf
Evap.,
hfg
Sat.
vapor,
hg
Sat.
Sat.
liquid, Evap., vapor,
sf
sfg
sg
0.6117
0.8725
1.2281
1.7057
2.3392
0.001000
0.001000
0.001000
0.001001
0.001002
206.00
147.03
106.32
77.885
57.762
0.000
21.019
42.020
62.980
83.913
2374.9
2360.8
2346.6
2332.5
2318.4
2374.9
2381.8
2388.7
2395.5
2402.3
0.001
21.020
42.022
62.982
83.915
2500.9
2489.1
2477.2
2465.4
2453.5
2500.9
2510.1
2519.2
2528.3
2537.4
0.0000
0.0763
0.1511
0.2245
0.2965
9.1556
8.9487
8.7488
8.5559
8.3696
9.1556
9.0249
8.8999
8.7803
8.6661
3.1698
4.2469
5.6291
7.3851
9.5953
0.001003
0.001004
0.001006
0.001008
0.001010
43.340
32.879
25.205
19.515
15.251
104.83
125.73
146.63
167.53
188.43
2304.3
2290.2
2276.0
2261.9
2247.7
2409.1
2415.9
2422.7
2429.4
2436.1
104.83
125.74
146.64
167.53
188.44
2441.7
2429.8
2417.9
2406.0
2394.0
2546.5
2555.6
2564.6
2573.5
2582.4
0.3672
0.4368
0.5051
0.5724
0.6386
8.1895
8.0152
7.8466
7.6832
7.5247
8.5567
8.4520
8.3517
8.2556
8.1633
50
55
60
65
70
12.352
15.763
19.947
25.043
31.202
0.001012
0.001015
0.001017
0.001020
0.001023
12.026
9.5639
7.6670
6.1935
5.0396
209.33
230.24
251.16
272.09
293.04
2233.4
2219.1
2204.7
2190.3
2175.8
2442.7
2449.3
2455.9
2462.4
2468.9
209.34
230.26
251.18
272.12
293.07
2382.0
2369.8
2357.7
2345.4
2333.0
2591.3
2600.1
2608.8
2617.5
2626.1
0.7038
0.7680
0.8313
0.8937
0.9551
7.3710
7.2218
7.0769
6.9360
6.7989
8.0748
7.9898
7.9082
7.8296
7.7540
75
80
85
90
95
38.597
47.416
57.868
70.183
84.609
0.001026
0.001029
0.001032
0.001036
0.001040
4.1291
3.4053
2.8261
2.3593
1.9808
313.99
334.97
355.96
376.97
398.00
2161.3
2146.6
2131.9
2117.0
2102.0
2475.3
2481.6
2487.8
2494.0
2500.1
314.03
335.02
356.02
377.04
398.09
2320.6
2308.0
2295.3
2282.5
2269.6
2634.6
2643.0
2651.4
2659.6
2667.6
1.0158
1.0756
1.1346
1.1929
1.2504
6.6655
6.5355
6.4089
6.2853
6.1647
7.6812
7.6111
7.5435
7.4782
7.4151
100
105
110
115
120
101.42
120.90
143.38
169.18
198.67
0.001043
0.001047
0.001052
0.001056
0.001060
1.6720
1.4186
1.2094
1.0360
0.89133
419.06
440.15
461.27
482.42
503.60
2087.0
2071.8
2056.4
2040.9
2025.3
2506.0
2511.9
2517.7
2523.3
2528.9
419.17
440.28
461.42
482.59
503.81
2256.4
2243.1
2229.7
2216.0
2202.1
2675.6
2683.4
2691.1
2698.6
2706.0
1.3072
1.3634
1.4188
1.4737
1.5279
6.0470
5.9319
5.8193
5.7092
5.6013
7.3542
7.2952
7.2382
7.1829
7.1292
125
130
135
140
145
232.23
270.28
313.22
361.53
415.68
0.001065
0.001070
0.001075
0.001080
0.001085
0.77012
0.66808
0.58179
0.50850
0.44600
524.83
546.10
567.41
588.77
610.19
2009.5
1993.4
1977.3
1960.9
1944.2
2534.3
2539.5
2544.7
2549.6
2554.4
525.07
546.38
567.75
589.16
610.64
2188.1
2173.7
2159.1
2144.3
2129.2
2713.1
2720.1
2726.9
2733.5
2739.8
1.5816
1.6346
1.6872
1.7392
1.7908
5.4956
5.3919
5.2901
5.1901
5.0919
7.0771
7.0265
6.9773
6.9294
6.8827
150
155
160
165
170
476.16
543.49
618.23
700.93
792.18
0.001091
0.001096
0.001102
0.001108
0.001114
0.39248
0.34648
0.30680
0.27244
0.24260
631.66
653.19
674.79
696.46
718.20
1927.4
1910.3
1893.0
1875.4
1857.5
2559.1
2563.5
2567.8
2571.9
2575.7
632.18
653.79
675.47
697.24
719.08
2113.8
2098.0
2082.0
2065.6
2048.8
2745.9
2751.8
2757.5
2762.8
2767.9
1.8418
1.8924
1.9426
1.9923
2.0417
4.9953
4.9002
4.8066
4.7143
4.6233
6.8371
6.7927
6.7492
6.7067
6.6650
175
180
185
190
195
200
892.60
1002.8
1123.5
1255.2
1398.8
1554.9
0.001121
0.001127
0.001134
0.001141
0.001149
0.001157
0.21659
0.19384
0.17390
0.15636
0.14089
0.12721
740.02
761.92
783.91
806.00
828.18
850.46
1839.4
1820.9
1802.1
1783.0
1763.6
1743.7
2579.4
2582.8
2586.0
2589.0
2591.7
2594.2
741.02
763.05
785.19
807.43
829.78
852.26
2031.7
2014.2
1996.2
1977.9
1959.0
1939.8
2772.7
2777.2
2781.4
2785.3
2788.8
2792.0
2.0906
2.1392
2.1875
2.2355
2.2831
2.3305
4.5335
4.4448
4.3572
4.2705
4.1847
4.0997
6.6242
6.5841
6.5447
6.5059
6.4678
6.4302
(Continued)
23-R4232-APP1 6/8/07 5:09 PM Page 995
Appendix 1
|
995
TABLE A–4
Saturated water—Temperature table (Continued)
Specific volume,
m3/kg
Temp.,
T °C
Sat.
press.,
Psat kPa
205
210
215
220
225
Internal energy,
kJ/kg
Sat.
liquid,
vf
Sat.
vapor,
vg
Sat.
liquid,
uf
Evap.,
ufg
Sat.
vapor,
ug
1724.3
1907.7
2105.9
2319.6
2549.7
0.001164
0.001173
0.001181
0.001190
0.001199
0.11508
0.10429
0.094680
0.086094
0.078405
872.86
895.38
918.02
940.79
963.70
1723.5
1702.9
1681.9
1660.5
1638.6
2596.4
2598.3
2599.9
2601.3
2602.3
230
235
240
245
250
2797.1
3062.6
3347.0
3651.2
3976.2
0.001209
0.001219
0.001229
0.001240
0.001252
0.071505
0.065300
0.059707
0.054656
0.050085
986.76
1010.0
1033.4
1056.9
1080.7
1616.1
1593.2
1569.8
1545.7
1521.1
255
260
265
270
275
4322.9
4692.3
5085.3
5503.0
5946.4
0.001263
0.001276
0.001289
0.001303
0.001317
0.045941
0.042175
0.038748
0.035622
0.032767
1104.7
1128.8
1153.3
1177.9
1202.9
280
285
290
295
300
6416.6
6914.6
7441.8
7999.0
8587.9
0.001333
0.001349
0.001366
0.001384
0.001404
0.030153
0.027756
0.025554
0.023528
0.021659
305
310
315
320
325
9209.4
9865.0
10,556
11,284
12,051
0.001425
0.001447
0.001472
0.001499
0.001528
330
335
340
345
350
12,858
13,707
14,601
15,541
16,529
355
360
365
370
373.95
17,570
18,666
19,822
21,044
22,064
Enthalpy,
kJ/kg
Sat.
liquid,
hf
Entropy,
kJ/kg · K
Evap.,
hfg
Sat.
vapor,
hg
Sat.
Sat.
liquid, Evap., vapor,
sf
sfg
sg
874.87
897.61
920.50
943.55
966.76
1920.0
1899.7
1878.8
1857.4
1835.4
2794.8
2797.3
2799.3
2801.0
2802.2
2.3776
2.4245
2.4712
2.5176
2.5639
4.0154
3.9318
3.8489
3.7664
3.6844
6.3930
6.3563
6.3200
6.2840
6.2483
2602.9
2603.2
2603.1
2602.7
2601.8
990.14
1013.7
1037.5
1061.5
1085.7
1812.8
1789.5
1765.5
1740.8
1715.3
2802.9
2803.2
2803.0
2802.2
2801.0
2.6100
2.6560
2.7018
2.7476
2.7933
3.6028
3.5216
3.4405
3.3596
3.2788
6.2128
6.1775
6.1424
6.1072
6.0721
1495.8
1469.9
1443.2
1415.7
1387.4
2600.5
2598.7
2596.5
2593.7
2590.3
1110.1
1134.8
1159.8
1185.1
1210.7
1689.0
1661.8
1633.7
1604.6
1574.5
2799.1
2796.6
2793.5
2789.7
2785.2
2.8390
2.8847
2.9304
2.9762
3.0221
3.1979
3.1169
3.0358
2.9542
2.8723
6.0369
6.0017
5.9662
5.9305
5.8944
1228.2
1253.7
1279.7
1306.0
1332.7
1358.2
1328.1
1296.9
1264.5
1230.9
2586.4
2581.8
2576.5
2570.5
2563.6
1236.7
1263.1
1289.8
1317.1
1344.8
1543.2
1510.7
1476.9
1441.6
1404.8
2779.9
2773.7
2766.7
2758.7
2749.6
3.0681
3.1144
3.1608
3.2076
3.2548
2.7898
2.7066
2.6225
2.5374
2.4511
5.8579
5.8210
5.7834
5.7450
5.7059
0.019932
0.018333
0.016849
0.015470
0.014183
1360.0
1387.7
1416.1
1445.1
1475.0
1195.9
1159.3
1121.1
1080.9
1038.5
2555.8
2547.1
2537.2
2526.0
2513.4
1373.1
1402.0
1431.6
1462.0
1493.4
1366.3
1325.9
1283.4
1238.5
1191.0
2739.4
2727.9
2715.0
2700.6
2684.3
3.3024
3.3506
3.3994
3.4491
3.4998
2.3633
2.2737
2.1821
2.0881
1.9911
5.6657
5.6243
5.5816
5.5372
5.4908
0.001560
0.001597
0.001638
0.001685
0.001741
0.012979
0.011848
0.010783
0.009772
0.008806
1505.7
1537.5
1570.7
1605.5
1642.4
993.5
945.5
893.8
837.7
775.9
2499.2
2483.0
2464.5
2443.2
2418.3
1525.8
1559.4
1594.6
1631.7
1671.2
1140.3
1086.0
1027.4
963.4
892.7
2666.0
2645.4
2622.0
2595.1
2563.9
3.5516
3.6050
3.6602
3.7179
3.7788
1.8906
1.7857
1.6756
1.5585
1.4326
5.4422
5.3907
5.3358
5.2765
5.2114
0.001808
0.001895
0.002015
0.002217
0.003106
0.007872
0.006950
0.006009
0.004953
0.003106
1682.2
1726.2
1777.2
1844.5
2015.7
706.4
625.7
526.4
385.6
0
2388.6
2351.9
2303.6
2230.1
2015.7
1714.0
1761.5
1817.2
1891.2
2084.3
812.9
720.1
605.5
443.1
0
2526.9
2481.6
2422.7
2334.3
2084.3
3.8442
3.9165
4.0004
4.1119
4.4070
1.2942
1.1373
0.9489
0.6890
0
5.1384
5.0537
4.9493
4.8009
4.4070
Source: Tables A–4 through A–8 are generated using the Engineering Equation Solver (EES) software developed by S. A. Klein and F. L. Alvarado. The
routine used in calculations is the highly accurate Steam_IAPWS, which incorporates the 1995 Formulation for the Thermodynamic Properties of Ordinary
Water Substance for General and Scientific Use, issued by The International Association for the Properties of Water and Steam (IAPWS). This formulation
replaces the 1984 formulation of Haar, Gallagher, and Kell (NBS/NRC Steam Tables, Hemisphere Publishing Co., 1984), which is also available in EES
as the routine STEAM. The new formulation is based on the correlations of Saul and Wagner (J. Phys. Chem. Ref. Data, 16, 893, 1987) with modifications to adjust to the International Temperature Scale of 1990. The modifications are described by Wagner and Pruss (J. Phys. Chem. Ref. Data, 22,
783, 1993). The properties of ice are based on Hyland and Wexler, “Formulations for the Thermodynamic Properties of the Saturated Phases of H2O
from 173.15 K to 473.15 K,” ASHRAE Trans., Part 2A, Paper 2793, 1983.
23-R4232-APP1 6/8/07 5:09 PM Page 996
996
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–5
Saturated water—Pressure table
Specific volume,
m3/kg
Press.,
P kPa
Sat.
temp.,
Tsat °C
Sat.
liquid,
vf
Sat.
vapor,
vg
Internal energy,
kJ/kg
Enthalpy,
kJ/kg
Entropy,
kJ/kg · K
Sat.
liquid,
uf
Evap.,
ufg
Sat.
vapor,
ug
Sat.
liquid,
hf
Evap.,
hfg
Sat.
vapor,
hg
Sat.
liquid,
sf
Evap.,
sfg
Sat.
vapor,
sg
1.0
1.5
2.0
2.5
3.0
6.97
13.02
17.50
21.08
24.08
0.001000 129.19
0.001001 87.964
0.001001 66.990
0.001002 54.242
0.001003 45.654
29.302
54.686
73.431
88.422
100.98
2355.2
2338.1
2325.5
2315.4
2306.9
2384.5
2392.8
2398.9
2403.8
2407.9
29.303
54.688
73.433
88.424
100.98
2484.4
2470.1
2459.5
2451.0
2443.9
2513.7
2524.7
2532.9
2539.4
2544.8
0.1059
0.1956
0.2606
0.3118
0.3543
8.8690
8.6314
8.4621
8.3302
8.2222
8.9749
8.8270
8.7227
8.6421
8.5765
4.0
5.0
7.5
10
15
28.96
32.87
40.29
45.81
53.97
0.001004
0.001005
0.001008
0.001010
0.001014
121.39
137.75
168.74
191.79
225.93
2293.1
2282.1
2261.1
2245.4
2222.1
2414.5
2419.8
2429.8
2437.2
2448.0
121.39
137.75
168.75
191.81
225.94
2432.3
2423.0
2405.3
2392.1
2372.3
2553.7
2560.7
2574.0
2583.9
2598.3
0.4224
0.4762
0.5763
0.6492
0.7549
8.0510
7.9176
7.6738
7.4996
7.2522
8.4734
8.3938
8.2501
8.1488
8.0071
20
25
30
40
50
60.06
64.96
69.09
75.86
81.32
0.001017
0.001020
0.001022
0.001026
0.001030
7.6481
6.2034
5.2287
3.9933
3.2403
251.40
271.93
289.24
317.58
340.49
2204.6
2190.4
2178.5
2158.8
2142.7
2456.0
2462.4
2467.7
2476.3
2483.2
251.42
271.96
289.27
317.62
340.54
2357.5
2345.5
2335.3
2318.4
2304.7
2608.9
2617.5
2624.6
2636.1
2645.2
0.8320
0.8932
0.9441
1.0261
1.0912
7.0752
6.9370
6.8234
6.6430
6.5019
7.9073
7.8302
7.7675
7.6691
7.5931
75
100
101.325
125
150
91.76
99.61
99.97
105.97
111.35
0.001037
0.001043
0.001043
0.001048
0.001053
2.2172
1.6941
1.6734
1.3750
1.1594
384.36
417.40
418.95
444.23
466.97
2111.8
2088.2
2087.0
2068.8
2052.3
2496.1
2505.6
2506.0
2513.0
2519.2
384.44
417.51
419.06
444.36
467.13
2278.0
2257.5
2256.5
2240.6
2226.0
2662.4
2675.0
2675.6
2684.9
2693.1
1.2132
1.3028
1.3069
1.3741
1.4337
6.2426
6.0562
6.0476
5.9100
5.7894
7.4558
7.3589
7.3545
7.2841
7.2231
175
200
225
250
275
116.04
120.21
123.97
127.41
130.58
0.001057
0.001061
0.001064
0.001067
0.001070
1.0037
0.88578
0.79329
0.71873
0.65732
486.82
504.50
520.47
535.08
548.57
2037.7
2024.6
2012.7
2001.8
1991.6
2524.5
2529.1
2533.2
2536.8
2540.1
487.01
504.71
520.71
535.35
548.86
2213.1
2201.6
2191.0
2181.2
2172.0
2700.2
2706.3
2711.7
2716.5
2720.9
1.4850
1.5302
1.5706
1.6072
1.6408
5.6865
5.5968
5.5171
5.4453
5.3800
7.1716
7.1270
7.0877
7.0525
7.0207
300
325
350
375
400
133.52
136.27
138.86
141.30
143.61
0.001073
0.001076
0.001079
0.001081
0.001084
0.60582
0.56199
0.52422
0.49133
0.46242
561.11
572.84
583.89
594.32
604.22
1982.1
1973.1
1964.6
1956.6
1948.9
2543.2
2545.9
2548.5
2550.9
2553.1
561.43
573.19
584.26
594.73
604.66
2163.5
2155.4
2147.7
2140.4
2133.4
2724.9
2728.6
2732.0
2735.1
2738.1
1.6717
1.7005
1.7274
1.7526
1.7765
5.3200
5.2645
5.2128
5.1645
5.1191
6.9917
6.9650
6.9402
6.9171
6.8955
450
500
550
600
650
147.90
151.83
155.46
158.83
161.98
0.001088
0.001093
0.001097
0.001101
0.001104
0.41392
0.37483
0.34261
0.31560
0.29260
622.65
639.54
655.16
669.72
683.37
1934.5
1921.2
1908.8
1897.1
1886.1
2557.1
2560.7
2563.9
2566.8
2569.4
623.14
640.09
655.77
670.38
684.08
2120.3
2108.0
2096.6
2085.8
2075.5
2743.4
2748.1
2752.4
2756.2
2759.6
1.8205
1.8604
1.8970
1.9308
1.9623
5.0356
4.9603
4.8916
4.8285
4.7699
6.8561
6.8207
6.7886
6.7593
6.7322
700
750
164.95
167.75
0.001108
0.001111
0.27278 696.23
0.25552 708.40
1875.6
1865.6
2571.8
2574.0
697.00
709.24
2065.8 2762.8 1.9918 4.7153 6.7071
2056.4 2765.7 2.0195 4.6642 6.6837
34.791
28.185
19.233
14.670
10.020
(Continued)
23-R4232-APP1 6/8/07 5:09 PM Page 997
Appendix 1
|
997
TABLE A–5
Saturated water—Pressure table (Continued)
Specific volume,
m3/kg
Press.,
P kPa
Sat.
temp.,
Tsat °C
Sat.
liquid,
vf
Sat.
vapor,
vg
800
850
900
950
1000
170.41
172.94
175.35
177.66
179.88
0.001115
0.001118
0.001121
0.001124
0.001127
0.24035
0.22690
0.21489
0.20411
0.19436
1100
1200
1300
1400
1500
184.06
187.96
191.60
195.04
198.29
0.001133
0.001138
0.001144
0.001149
0.001154
0.17745
0.16326
0.15119
0.14078
0.13171
1750
2000
2250
2500
3000
205.72
212.38
218.41
223.95
233.85
3500
4000
5000
6000
7000
Internal energy,
kJ/kg
Sat.
liquid,
uf
Enthalpy,
kJ/kg
Entropy,
kJ/kg · K
Evap.,
ufg
Sat.
vapor,
ug
Sat.
liquid,
hf
Evap.,
hfg
Sat.
vapor,
hg
Sat.
liquid,
sf
Evap.,
sfg
Sat.
vapor,
sg
719.97
731.00
741.55
751.67
761.39
1856.1
1846.9
1838.1
1829.6
1821.4
2576.0
2577.9
2579.6
2581.3
2582.8
720.87
731.95
742.56
752.74
762.51
2047.5
2038.8
2030.5
2022.4
2014.6
2768.3
2770.8
2773.0
2775.2
2777.1
2.0457
2.0705
2.0941
2.1166
2.1381
4.6160
4.5705
4.5273
4.4862
4.4470
6.6616
6.6409
6.6213
6.6027
6.5850
779.78
796.96
813.10
828.35
842.82
1805.7
1790.9
1776.8
1763.4
1750.6
2585.5
2587.8
2589.9
2591.8
2593.4
781.03
798.33
814.59
829.96
844.55
1999.6
1985.4
1971.9
1958.9
1946.4
2780.7
2783.8
2786.5
2788.9
2791.0
2.1785
2.2159
2.2508
2.2835
2.3143
4.3735
4.3058
4.2428
4.1840
4.1287
6.5520
6.5217
6.4936
6.4675
6.4430
0.001166
0.001177
0.001187
0.001197
0.001217
0.11344
876.12
0.099587
906.12
0.088717
933.54
0.079952
958.87
0.066667 1004.6
1720.6
1693.0
1667.3
1643.2
1598.5
2596.7 878.16
2599.1 908.47
2600.9 936.21
2602.1 961.87
2603.2 1008.3
1917.1
1889.8
1864.3
1840.1
1794.9
2795.2
2798.3
2800.5
2801.9
2803.2
2.3844
2.4467
2.5029
2.5542
2.6454
4.0033
3.8923
3.7926
3.7016
3.5402
6.3877
6.3390
6.2954
6.2558
6.1856
242.56
250.35
263.94
275.59
285.83
0.001235
0.001252
0.001286
0.001319
0.001352
0.057061
0.049779
0.039448
0.032449
0.027378
1045.4
1082.4
1148.1
1205.8
1258.0
1557.6
1519.3
1448.9
1384.1
1323.0
2603.0
2601.7
2597.0
2589.9
2581.0
1049.7
1087.4
1154.5
1213.8
1267.5
1753.0
1713.5
1639.7
1570.9
1505.2
2802.7
2800.8
2794.2
2784.6
2772.6
2.7253
2.7966
2.9207
3.0275
3.1220
3.3991
3.2731
3.0530
2.8627
2.6927
6.1244
6.0696
5.9737
5.8902
5.8148
8000
9000
10,000
11,000
12,000
295.01
303.35
311.00
318.08
324.68
0.001384
0.001418
0.001452
0.001488
0.001526
0.023525
0.020489
0.018028
0.015988
0.014264
1306.0
1350.9
1393.3
1433.9
1473.0
1264.5
1207.6
1151.8
1096.6
1041.3
2570.5
2558.5
2545.2
2530.4
2514.3
1317.1
1363.7
1407.8
1450.2
1491.3
1441.6
1379.3
1317.6
1256.1
1194.1
2758.7
2742.9
2725.5
2706.3
2685.4
3.2077
3.2866
3.3603
3.4299
3.4964
2.5373
2.3925
2.2556
2.1245
1.9975
5.7450
5.6791
5.6159
5.5544
5.4939
13,000
14,000
15,000
16,000
17,000
330.85
336.67
342.16
347.36
352.29
0.001566
0.001610
0.001657
0.001710
0.001770
0.012781
0.011487
0.010341
0.009312
0.008374
1511.0
1548.4
1585.5
1622.6
1660.2
985.5
928.7
870.3
809.4
745.1
2496.6
2477.1
2455.7
2432.0
2405.4
1531.4
1571.0
1610.3
1649.9
1690.3
1131.3
1067.0
1000.5
931.1
857.4
2662.7
2637.9
2610.8
2581.0
2547.7
3.5606
3.6232
3.6848
3.7461
3.8082
1.8730
1.7497
1.6261
1.5005
1.3709
5.4336
5.3728
5.3108
5.2466
5.1791
18,000
19,000
20,000
21,000
22,000
22,064
356.99
361.47
365.75
369.83
373.71
373.95
0.001840
0.001926
0.002038
0.002207
0.002703
0.003106
0.007504
0.006677
0.005862
0.004994
0.003644
0.003106
1699.1
1740.3
1785.8
1841.6
1951.7
2015.7
675.9
598.9
509.0
391.9
140.8
0
2375.0
2339.2
2294.8
2233.5
2092.4
2015.7
1732.2
1776.8
1826.6
1888.0
2011.1
2084.3
777.8
689.2
585.5
450.4
161.5
0
2510.0
2466.0
2412.1
2338.4
2172.6
2084.3
3.8720
3.9396
4.0146
4.1071
4.2942
4.4070
1.2343
1.0860
0.9164
0.7005
0.2496
0
5.1064
5.0256
4.9310
4.8076
4.5439
4.4070
23-R4232-APP1 6/8/07 5:09 PM Page 998
998
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–6
Superheated water
T
°C
v
m3/kg
u
kJ/kg
Sat.†
50
100
150
200
250
300
400
500
600
700
800
900
1000
1100
1200
1300
14.670
14.867
17.196
19.513
21.826
24.136
26.446
31.063
35.680
40.296
44.911
49.527
54.143
58.758
63.373
67.989
72.604
h
kJ/kg
s
kJ/kg K
P 0.01 MPa (45.81°C)*
2437.2
2443.3
2515.5
2587.9
2661.4
2736.1
2812.3
2969.3
3132.9
3303.3
3480.8
3665.4
3856.9
4055.3
4260.0
4470.9
4687.4
2583.9
2592.0
2687.5
2783.0
2879.6
2977.5
3076.7
3280.0
3489.7
3706.3
3929.9
4160.6
4398.3
4642.8
4893.8
5150.8
5413.4
8.1488
8.1741
8.4489
8.6893
8.9049
9.1015
9.2827
9.6094
9.8998
10.1631
10.4056
10.6312
10.8429
11.0429
11.2326
11.4132
11.5857
P 0.20 MPa (120.21°C)
Sat.
150
200
250
300
400
500
600
700
800
900
1000
1100
1200
1300
0.88578
0.95986
1.08049
1.19890
1.31623
1.54934
1.78142
2.01302
2.24434
2.47550
2.70656
2.93755
3.16848
3.39938
3.63026
2529.1
2577.1
2654.6
2731.4
2808.8
2967.2
3131.4
3302.2
3479.9
3664.7
3856.3
4054.8
4259.6
4470.5
4687.1
2706.3
7.1270
2769.1
7.2810
2870.7
7.5081
2971.2
7.7100
3072.1
7.8941
3277.0
8.2236
3487.7
8.5153
3704.8
8.7793
3928.8
9.0221
4159.8
9.2479
4397.7
9.4598
4642.3
9.6599
4893.3
9.8497
5150.4 10.0304
5413.1 10.2029
P 0.50 MPa (151.83°C)
Sat.
200
250
300
350
400
500
600
700
800
900
1000
1100
1200
1300
0.37483
0.42503
0.47443
0.52261
0.57015
0.61731
0.71095
0.80409
0.89696
0.98966
1.08227
1.17480
1.26728
1.35972
1.45214
2560.7
2643.3
2723.8
2803.3
2883.0
2963.7
3129.0
3300.4
3478.6
3663.6
3855.4
4054.0
4259.0
4470.0
4686.6
2748.1
2855.8
2961.0
3064.6
3168.1
3272.4
3484.5
3702.5
3927.0
4158.4
4396.6
4641.4
4892.6
5149.8
5412.6
6.8207
7.0610
7.2725
7.4614
7.6346
7.7956
8.0893
8.3544
8.5978
8.8240
9.0362
9.2364
9.4263
9.6071
9.7797
u
kJ/kg
v
m3/kg
h
kJ/kg
P 0.05 MPa (81.32°C)
2483.2
2645.2
7.5931
3.4187
3.8897
4.3562
4.8206
5.2841
6.2094
7.1338
8.0577
8.9813
9.9047
10.8280
11.7513
12.6745
13.5977
14.5209
2511.5
2585.7
2660.0
2735.1
2811.6
2968.9
3132.6
3303.1
3480.6
3665.2
3856.8
4055.2
4259.9
4470.8
4687.3
2682.4
2780.2
2877.8
2976.2
3075.8
3279.3
3489.3
3706.0
3929.7
4160.4
4398.2
4642.7
4893.7
5150.7
5413.3
7.6953
7.9413
8.1592
8.3568
8.5387
8.8659
9.1566
9.4201
9.6626
9.8883
10.1000
10.3000
10.4897
10.6704
10.8429
P 0.30 MPa (133.52°C)
0.60582
0.63402
0.71643
0.79645
0.87535
1.03155
1.18672
1.34139
1.49580
1.65004
1.80417
1.95824
2.11226
2.26624
2.42019
2543.2
2571.0
2651.0
2728.9
2807.0
2966.0
3130.6
3301.6
3479.5
3664.3
3856.0
4054.5
4259.4
4470.3
4686.9
2724.9 6.9917
2761.2 7.0792
2865.9 7.3132
2967.9 7.5180
3069.6 7.7037
3275.5 8.0347
3486.6 8.3271
3704.0 8.5915
3928.2 8.8345
4159.3 9.0605
4397.3 9.2725
4642.0 9.4726
4893.1 9.6624
5150.2 9.8431
5413.0 10.0157
P 0.60 MPa (158.83°C)
0.31560
0.35212
0.39390
0.43442
0.47428
0.51374
0.59200
0.66976
0.74725
0.82457
0.90179
0.97893
1.05603
1.13309
1.21012
2566.8
2639.4
2721.2
2801.4
2881.6
2962.5
3128.2
3299.8
3478.1
3663.2
3855.1
4053.8
4258.8
4469.8
4686.4
2756.2
2850.6
2957.6
3062.0
3166.1
3270.8
3483.4
3701.7
3926.4
4157.9
4396.2
4641.1
4892.4
5149.6
5412.5
Properties of saturated vapor at the specified pressure.
v
m3/kg
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.10 MPa (99.61°C)
3.2403
*The temperature in parentheses is the saturation temperature at the specified pressure.
†
s
kJ/kg K
6.7593
6.9683
7.1833
7.3740
7.5481
7.7097
8.0041
8.2695
8.5132
8.7395
8.9518
9.1521
9.3420
9.5229
9.6955
1.6941 2505.6
2675.0
1.6959
1.9367
2.1724
2.4062
2.6389
3.1027
3.5655
4.0279
4.4900
4.9519
5.4137
5.8755
6.3372
6.7988
7.2605
2675.8 7.3611
2776.6 7.6148
2875.5 7.8356
2974.5 8.0346
3074.5 8.2172
3278.6 8.5452
3488.7 8.8362
3705.6 9.0999
3929.4 9.3424
4160.2 9.5682
4398.0 9.7800
4642.6 9.9800
4893.6 10.1698
5150.6 10.3504
5413.3 10.5229
2506.2
2582.9
2658.2
2733.9
2810.7
2968.3
3132.2
3302.8
3480.4
3665.0
3856.7
4055.0
4259.8
4470.7
4687.2
7.3589
P 0.40 MPa (143.61°C)
0.46242
0.47088
0.53434
0.59520
0.65489
0.77265
0.88936
1.00558
1.12152
1.23730
1.35298
1.46859
1.58414
1.69966
1.81516
2553.1
2564.4
2647.2
2726.4
2805.1
2964.9
3129.8
3301.0
3479.0
3663.9
3855.7
4054.3
4259.2
4470.2
4686.7
2738.1
2752.8
2860.9
2964.5
3067.1
3273.9
3485.5
3703.3
3927.6
4158.9
4396.9
4641.7
4892.9
5150.0
5412.8
6.8955
6.9306
7.1723
7.3804
7.5677
7.9003
8.1933
8.4580
8.7012
8.9274
9.1394
9.3396
9.5295
9.7102
9.8828
P 0.80 MPa (170.41°C)
0.24035
0.26088
0.29321
0.32416
0.35442
0.38429
0.44332
0.50186
0.56011
0.61820
0.67619
0.73411
0.79197
0.84980
0.90761
2576.0
2631.1
2715.9
2797.5
2878.6
2960.2
3126.6
3298.7
3477.2
3662.5
3854.5
4053.3
4258.3
4469.4
4686.1
2768.3
2839.8
2950.4
3056.9
3162.2
3267.7
3481.3
3700.1
3925.3
4157.0
4395.5
4640.5
4891.9
5149.3
5412.2
6.6616
6.8177
7.0402
7.2345
7.4107
7.5735
7.8692
8.1354
8.3794
8.6061
8.8185
9.0189
9.2090
9.3898
9.5625
23-R4232-APP1 6/8/07 5:09 PM Page 999
Appendix 1
|
999
u
kJ/kg
s
kJ/kg K
TABLE A–6
Superheated water (Continued)
T
°C
v
m3/kg
u
kJ/kg
Sat.
200
250
300
350
400
500
600
700
800
900
1000
1100
1200
1300
0.19437
0.20602
0.23275
0.25799
0.28250
0.30661
0.35411
0.40111
0.44783
0.49438
0.54083
0.58721
0.63354
0.67983
0.72610
h
kJ/kg
s
v
kJ/kg K m3/kg
P 1.00 MPa (179.88C)
2582.8
2622.3
2710.4
2793.7
2875.7
2957.9
3125.0
3297.5
3476.3
3661.7
3853.9
4052.7
4257.9
4469.0
4685.8
2777.1
2828.3
2943.1
3051.6
3158.2
3264.5
3479.1
3698.6
3924.1
4156.1
4394.8
4640.0
4891.4
5148.9
5411.9
6.5850
6.6956
6.9265
7.1246
7.3029
7.4670
7.7642
8.0311
8.2755
8.5024
8.7150
8.9155
9.1057
9.2866
9.4593
P 1.60 MPa (201.37C)
Sat.
225
250
300
350
400
500
600
700
800
900
1000
1100
1200
1300
0.12374
0.13293
0.14190
0.15866
0.17459
0.19007
0.22029
0.24999
0.27941
0.30865
0.33780
0.36687
0.39589
0.42488
0.45383
2594.8 2792.8
2645.1 2857.8
2692.9 2919.9
2781.6 3035.4
2866.6 3146.0
2950.8 3254.9
3120.1 3472.6
3293.9 3693.9
3473.5 3920.5
3659.5 4153.4
3852.1 4392.6
4051.2 4638.2
4256.6 4890.0
4467.9 5147.7
4684.8 5410.9
6.4200
6.5537
6.6753
6.8864
7.0713
7.2394
7.5410
7.8101
8.0558
8.2834
8.4965
8.6974
8.8878
9.0689
9.2418
P 2.50 MPa (223.95C)
Sat.
225
250
300
350
400
450
500
600
700
800
900
1000
1100
1200
1300
0.07995
0.08026
0.08705
0.09894
0.10979
0.12012
0.13015
0.13999
0.15931
0.17835
0.19722
0.21597
0.23466
0.25330
0.27190
0.29048
2602.1
2604.8
2663.3
2762.2
2852.5
2939.8
3026.2
3112.8
3288.5
3469.3
3656.2
3849.4
4049.0
4254.7
4466.3
4683.4
2801.9 6.2558
2805.5 6.2629
2880.9 6.4107
3009.6 6.6459
3127.0 6.8424
3240.1 7.0170
3351.6 7.1768
3462.8 7.3254
3686.8 7.5979
3915.2 7.8455
4149.2 8.0744
4389.3 8.2882
4635.6 8.4897
4887.9 8.6804
5146.0 8.8618
5409.5 9.0349
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 1.20 MPa (187.96C)
0.16326
0.16934
0.19241
0.21386
0.23455
0.25482
0.29464
0.33395
0.37297
0.41184
0.45059
0.48928
0.52792
0.56652
0.60509
2587.8
2612.9
2704.7
2789.7
2872.7
2955.5
3123.4
3296.3
3475.3
3661.0
3853.3
4052.2
4257.5
4468.7
4685.5
2783.8
2816.1
2935.6
3046.3
3154.2
3261.3
3477.0
3697.0
3922.9
4155.2
4394.0
4639.4
4891.0
5148.5
5411.6
6.5217
6.5909
6.8313
7.0335
7.2139
7.3793
7.6779
7.9456
8.1904
8.4176
8.6303
8.8310
9.0212
9.2022
9.3750
P 1.80 MPa (207.11C)
0.11037
0.11678
0.12502
0.14025
0.15460
0.16849
0.19551
0.22200
0.24822
0.27426
0.30020
0.32606
0.35188
0.37766
0.40341
2597.3
2637.0
2686.7
2777.4
2863.6
2948.3
3118.5
3292.7
3472.6
3658.8
3851.5
4050.7
4256.2
4467.6
4684.5
2795.9
2847.2
2911.7
3029.9
3141.9
3251.6
3470.4
3692.3
3919.4
4152.4
4391.9
4637.6
4889.6
5147.3
5410.6
6.3775
6.4825
6.6088
6.8246
7.0120
7.1814
7.4845
7.7543
8.0005
8.2284
8.4417
8.6427
8.8331
9.0143
9.1872
P 3.00 MPa (233.85C)
v
m3/kg
h
kJ/kg
P 1.40 MPa (195.04C)
0.14078
0.14303
0.16356
0.18233
0.20029
0.21782
0.25216
0.28597
0.31951
0.35288
0.38614
0.41933
0.45247
0.48558
0.51866
2591.8
2602.7
2698.9
2785.7
2869.7
2953.1
3121.8
3295.1
3474.4
3660.3
3852.7
4051.7
4257.0
4468.3
4685.1
2788.9
2803.0
2927.9
3040.9
3150.1
3258.1
3474.8
3695.5
3921.7
4154.3
4393.3
4638.8
4890.5
5148.1
5411.3
6.4675
6.4975
6.7488
6.9553
7.1379
7.3046
7.6047
7.8730
8.1183
8.3458
8.5587
8.7595
8.9497
9.1308
9.3036
P 2.00 MPa (212.38C)
0.09959
0.10381
0.11150
0.12551
0.13860
0.15122
0.17568
0.19962
0.22326
0.24674
0.27012
0.29342
0.31667
0.33989
0.36308
2599.1 2798.3 6.3390
2628.5 2836.1 6.4160
2680.3 2903.3 6.5475
2773.2 3024.2 6.7684
2860.5 3137.7 6.9583
2945.9 3248.4 7.1292
3116.9 3468.3 7.4337
3291.5 3690.7 7.7043
3471.7 3918.2 7.9509
3658.0 4151.5 8.1791
3850.9 4391.1 8.3925
4050.2 4637.1 8.5936
4255.7 4889.1 8.7842
4467.2 5147.0 8.9654
4684.2 5410.3 9.1384
P 3.50 MPa (242.56C)
0.06667
2603.2
2803.2
6.1856
0.05706
2603.0
2802.7 6.1244
0.07063
0.08118
0.09056
0.09938
0.10789
0.11620
0.13245
0.14841
0.16420
0.17988
0.19549
0.21105
0.22658
0.24207
2644.7
2750.8
2844.4
2933.6
3021.2
3108.6
3285.5
3467.0
3654.3
3847.9
4047.7
4253.6
4465.3
4682.6
2856.5
2994.3
3116.1
3231.7
3344.9
3457.2
3682.8
3912.2
4146.9
4387.5
4634.2
4886.7
5145.1
5408.8
6.2893
6.5412
6.7450
6.9235
7.0856
7.2359
7.5103
7.7590
7.9885
8.2028
8.4045
8.5955
8.7771
8.9502
0.05876
0.06845
0.07680
0.08456
0.09198
0.09919
0.11325
0.12702
0.14061
0.15410
0.16751
0.18087
0.19420
0.20750
2624.0 2829.7
2738.8 2978.4
2836.0 3104.9
2927.2 3223.2
3016.1 3338.1
3104.5 3451.7
3282.5 3678.9
3464.7 3909.3
3652.5 4144.6
3846.4 4385.7
4046.4 4632.7
4252.5 4885.6
4464.4 5144.1
4681.8 5408.0
6.1764
6.4484
6.6601
6.8428
7.0074
7.1593
7.4357
7.6855
7.9156
8.1304
8.3324
8.5236
8.7053
8.8786
23-R4232-APP1 6/8/07 5:09 PM Page 1000
1000
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–6
Superheated water (Continued)
T
°C
v
m3/kg
u
kJ/kg
Sat.
275
300
350
400
450
500
600
700
800
900
1000
1100
1200
1300
0.04978
0.05461
0.05887
0.06647
0.07343
0.08004
0.08644
0.09886
0.11098
0.12292
0.13476
0.14653
0.15824
0.16992
0.18157
h
kJ/kg
s
v
kJ/kg K m3/kg
P 4.0 MPa (250.35C)
2601.7
2668.9
2726.2
2827.4
2920.8
3011.0
3100.3
3279.4
3462.4
3650.6
3844.8
4045.1
4251.4
4463.5
4680.9
2800.8
2887.3
2961.7
3093.3
3214.5
3331.2
3446.0
3674.9
3906.3
4142.3
4383.9
4631.2
4884.4
5143.2
5407.2
6.0696
6.2312
6.3639
6.5843
6.7714
6.9386
7.0922
7.3706
7.6214
7.8523
8.0675
8.2698
8.4612
8.6430
8.8164
P 6.0 MPa (275.59C)
Sat.
300
350
400
450
500
550
600
700
800
900
1000
1100
1200
1300
0.03245
0.03619
0.04225
0.04742
0.05217
0.05667
0.06102
0.06527
0.07355
0.08165
0.08964
0.09756
0.10543
0.11326
0.12107
2589.9
2668.4
2790.4
2893.7
2989.9
3083.1
3175.2
3267.2
3453.0
3643.2
3838.8
4040.1
4247.1
4459.8
4677.7
2784.6
2885.6
3043.9
3178.3
3302.9
3423.1
3541.3
3658.8
3894.3
4133.1
4376.6
4625.4
4879.7
5139.4
5404.1
5.8902
6.0703
6.3357
6.5432
6.7219
6.8826
7.0308
7.1693
7.4247
7.6582
7.8751
8.0786
8.2709
8.4534
8.6273
P 9.0 MPa (303.35C)
Sat.
325
350
400
450
500
550
600
650
700
800
900
1000
1100
1200
1300
0.020489
0.023284
0.025816
0.029960
0.033524
0.036793
0.039885
0.042861
0.045755
0.048589
0.054132
0.059562
0.064919
0.070224
0.075492
0.080733
2558.5
2647.6
2725.0
2849.2
2956.3
3056.3
3153.0
3248.4
3343.4
3438.8
3632.0
3829.6
4032.4
4240.7
4454.2
4672.9
2742.9
2857.1
2957.3
3118.8
3258.0
3387.4
3512.0
3634.1
3755.2
3876.1
4119.2
4365.7
4616.7
4872.7
5133.6
5399.5
5.6791
5.8738
6.0380
6.2876
6.4872
6.6603
6.8164
6.9605
7.0954
7.2229
7.4606
7.6802
7.8855
8.0791
8.2625
8.4371
u
kJ/kg
h
kJ/kg
s
v
kJ/kg K m3/kg
P 4.5 MPa (257.44C)
0.04406
0.04733
0.05138
0.05842
0.06477
0.07076
0.07652
0.08766
0.09850
0.10916
0.11972
0.13020
0.14064
0.15103
0.16140
2599.7
2651.4
2713.0
2818.6
2914.2
3005.8
3096.0
3276.4
3460.0
3648.8
3843.3
4043.9
4250.4
4462.6
4680.1
2798.0
2864.4
2944.2
3081.5
3205.7
3324.2
3440.4
3670.9
3903.3
4140.0
4382.1
4629.8
4883.2
5142.2
5406.5
6.0198
6.1429
6.2854
6.5153
6.7071
6.8770
7.0323
7.3127
7.5647
7.7962
8.0118
8.2144
8.4060
8.5880
8.7616
P 7.0 MPa (285.83C)
0.027378
0.029492
0.035262
0.039958
0.044187
0.048157
0.051966
0.055665
0.062850
0.069856
0.076750
0.083571
0.090341
0.097075
0.103781
2581.0
2633.5
2770.1
2879.5
2979.0
3074.3
3167.9
3261.0
3448.3
3639.5
3835.7
4037.5
4245.0
4457.9
4676.1
2772.6
2839.9
3016.9
3159.2
3288.3
3411.4
3531.6
3650.6
3888.3
4128.5
4373.0
4622.5
4877.4
5137.4
5402.6
5.8148
5.9337
6.2305
6.4502
6.6353
6.8000
6.9507
7.0910
7.3487
7.5836
7.8014
8.0055
8.1982
8.3810
8.5551
P 10.0 MPa (311.00C)
0.018028
0.019877
0.022440
0.026436
0.029782
0.032811
0.035655
0.038378
0.041018
0.043597
0.048629
0.053547
0.058391
0.063183
0.067938
0.072667
2545.2
2611.6
2699.6
2833.1
2944.5
3047.0
3145.4
3242.0
3338.0
3434.0
3628.2
3826.5
4029.9
4238.5
4452.4
4671.3
2725.5
2810.3
2924.0
3097.5
3242.4
3375.1
3502.0
3625.8
3748.1
3870.0
4114.5
4362.0
4613.8
4870.3
5131.7
5398.0
5.6159
5.7596
5.9460
6.2141
6.4219
6.5995
6.7585
6.9045
7.0408
7.1693
7.4085
7.6290
7.8349
8.0289
8.2126
8.3874
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 5.0 MPa (263.94C)
0.03945
0.04144
0.04535
0.05197
0.05784
0.06332
0.06858
0.07870
0.08852
0.09816
0.10769
0.11715
0.12655
0.13592
0.14527
2597.0
2632.3
2699.0
2809.5
2907.5
3000.6
3091.8
3273.3
3457.7
3646.9
3841.8
4042.6
4249.3
4461.6
4679.3
2794.2
2839.5
2925.7
3069.3
3196.7
3317.2
3434.7
3666.9
3900.3
4137.7
4380.2
4628.3
4882.1
5141.3
5405.7
5.9737
6.0571
6.2111
6.4516
6.6483
6.8210
6.9781
7.2605
7.5136
7.7458
7.9619
8.1648
8.3566
8.5388
8.7124
P 8.0 MPa (295.01C)
0.023525
0.024279
0.029975
0.034344
0.038194
0.041767
0.045172
0.048463
0.054829
0.061011
0.067082
0.073079
0.079025
0.084934
0.090817
2570.5
2592.3
2748.3
2864.6
2967.8
3065.4
3160.5
3254.7
3443.6
3635.7
3832.7
4035.0
4242.8
4456.1
4674.5
2758.7
2786.5
2988.1
3139.4
3273.3
3399.5
3521.8
3642.4
3882.2
4123.8
4369.3
4619.6
4875.0
5135.5
5401.0
5.7450
5.7937
6.1321
6.3658
6.5579
6.7266
6.8800
7.0221
7.2822
7.5185
7.7372
7.9419
8.1350
8.3181
8.4925
P 12.5 MPa (327.81C)
0.013496 2505.6
2674.3 5.4638
0.016138
0.020030
0.023019
0.025630
0.028033
0.030306
0.032491
0.034612
0.038724
0.042720
0.046641
0.050510
0.054342
0.058147
2826.6
3040.0
3201.5
3343.6
3476.5
3604.6
3730.2
3854.6
4102.8
4352.9
4606.5
4864.5
5127.0
5394.1
2624.9
2789.6
2913.7
3023.2
3126.1
3225.8
3324.1
3422.0
3618.8
3818.9
4023.5
4233.1
4447.7
4667.3
5.7130
6.0433
6.2749
6.4651
6.6317
6.7828
6.9227
7.0540
7.2967
7.5195
7.7269
7.9220
8.1065
8.2819
23-R4232-APP1 6/8/07 5:09 PM Page 1002
1002
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–7
Compressed liquid water
T
°C
v
m3/kg
u
kJ/kg
h
kJ/kg
Sat.
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
300
320
340
0.0012862 1148.1 1154.5
0.0009977
0.04
5.03
0.0009996
83.61
88.61
0.0010057 166.92 171.95
0.0010149 250.29 255.36
0.0010267 333.82 338.96
0.0010410 417.65 422.85
0.0010576 501.91 507.19
0.0010769 586.80 592.18
0.0010988 672.55 678.04
0.0011240 759.47 765.09
0.0011531 847.92 853.68
0.0011868 938.39 944.32
0.0012268 1031.6 1037.7
0.0012755 1128.5 1134.9
s
v
kJ/kg K m3/kg
P 5 MPa (263.94C)
u
kJ/kg
0.0020378
0.0009904
0.0009929
0.0009992
0.0010084
0.0010199
0.0010337
0.0010496
0.0010679
0.0010886
0.0011122
0.0011390
0.0011697
0.0012053
0.0012472
0.0012978
0.0013611
0.0014450
0.0015693
0.0018248
1785.8
0.23
82.71
165.17
247.75
330.50
413.50
496.85
580.71
665.28
750.78
837.49
925.77
1016.1
1109.0
1205.6
1307.2
1416.6
1540.2
1703.6
1826.6
20.03
102.57
185.16
267.92
350.90
434.17
517.84
602.07
687.05
773.02
860.27
949.16
1040.2
1134.0
1231.5
1334.4
1445.5
1571.6
1740.1
s
v
kJ/kg K m3/kg
P 10 MPa (311.00C)
2.9207
0.0001
0.2954
0.5705
0.8287
1.0723
1.3034
1.5236
1.7344
1.9374
2.1338
2.3251
2.5127
2.6983
2.8841
0.0014522
0.0009952
0.0009973
0.0010035
0.0010127
0.0010244
0.0010385
0.0010549
0.0010738
0.0010954
0.0011200
0.0011482
0.0011809
0.0012192
0.0012653
0.0013226
0.0013980
P 20 MPa (365.75C)
Sat.
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
300
320
340
360
380
h
kJ/kg
1393.3
0.12
83.31
166.33
249.43
332.69
416.23
500.18
584.72
670.06
756.48
844.32
934.01
1026.2
1121.6
1221.8
1329.4
1407.9
10.07
93.28
176.37
259.55
342.94
426.62
510.73
595.45
681.01
767.68
855.80
945.82
1038.3
1134.3
1235.0
1343.3
u
kJ/kg
0.0009857
0.0009886
0.0009951
0.0010042
0.0010155
0.0010290
0.0010445
0.0010623
0.0010823
0.0011049
0.0011304
0.0011595
0.0011927
0.0012314
0.0012770
0.0013322
0.0014014
0.0014932
0.0016276
0.0018729
0.29
82.11
164.05
246.14
328.40
410.87
493.66
576.90
660.74
745.40
831.11
918.15
1006.9
1097.8
1191.5
1288.9
1391.7
1502.4
1626.8
1782.0
29.86
111.77
193.90
276.26
358.86
441.74
525.00
608.76
693.21
778.55
865.02
952.93
1042.7
1134.7
1229.8
1328.9
1433.7
1547.1
1675.6
1838.2
s
kJ/kg K
P 15 MPa (342.16C)
3.3603
0.0003
0.2943
0.5685
0.8260
1.0691
1.2996
1.5191
1.7293
1.9316
2.1271
2.3174
2.5037
2.6876
2.8710
3.0565
3.2488
0.0016572
0.0009928
0.0009951
0.0010013
0.0010105
0.0010221
0.0010361
0.0010522
0.0010708
0.0010920
0.0011160
0.0011435
0.0011752
0.0012121
0.0012560
0.0013096
0.0013783
0.0014733
0.0016311
P 30 MPa
4.0146
0.0005
0.2921
0.5646
0.8208
1.0627
1.2920
1.5105
1.7194
1.9203
2.1143
2.3027
2.4867
2.6676
2.8469
3.0265
3.2091
3.3996
3.6086
3.8787
h
kJ/kg
1585.5
0.18
83.01
165.75
248.58
331.59
414.85
498.50
582.69
667.63
753.58
840.84
929.81
1021.0
1115.1
1213.4
1317.6
1431.9
1567.9
1610.3
15.07
97.93
180.77
263.74
346.92
430.39
514.28
598.75
684.01
770.32
858.00
947.43
1039.2
1134.0
1233.0
1338.3
1454.0
1592.4
3.6848
0.0004
0.2932
0.5666
0.8234
1.0659
1.2958
1.5148
1.7243
1.9259
2.1206
2.3100
2.4951
2.6774
2.8586
3.0410
3.2279
3.4263
3.6555
P 50 MPa
0.0003
0.2897
0.5607
0.8156
1.0564
1.2847
1.5020
1.7098
1.9094
2.1020
2.2888
2.4707
2.6491
2.8250
3.0001
3.1761
3.3558
3.5438
3.7499
4.0026
0.0009767
0.0009805
0.0009872
0.0009962
0.0010072
0.0010201
0.0010349
0.0010517
0.0010704
0.0010914
0.0011149
0.0011412
0.0011708
0.0012044
0.0012430
0.0012879
0.0013409
0.0014049
0.0014848
0.0015884
0.29
80.93
161.90
243.08
324.42
405.94
487.69
569.77
652.33
735.49
819.45
904.39
990.55
1078.2
1167.7
1259.6
1354.3
1452.9
1556.5
1667.1
49.13 0.0010
129.95 0.2845
211.25 0.5528
292.88 0.8055
374.78 1.0442
456.94 1.2705
539.43 1.4859
622.36 1.6916
705.85 1.8889
790.06 2.0790
875.19 2.2628
961.45 2.4414
1049.1
2.6156
1138.4
2.7864
1229.9
2.9547
1324.0
3.1218
1421.4
3.2888
1523.1
3.4575
1630.7
3.6301
1746.5
3.8102
1
h = 40
0k
0
0
%
60 0
3
0
60
4
00
328200
50%
5
20
00
3200
3400
4000
3800
3600
4500
6
h = 4200 kJ/
kg
00
22
00
Sa
tu
ra
6
00
or
24
va
p
%
70
te d
0
10
80 0
6
0
80
0
60
0
50
0
40 0
35 00
3 0
25 0
20
0
15
5
Entropy, kJ/kg · K
18
0
J/ k
g
20 0
h=
26
7
k J/k
80%
00
7
Qu
g
10 kg
/m 3
a lit
y=
8
1 kg/m 3
9
0.3
kg/m 3
90 %
8
9
2650
h = 2600
2650 kJ/kg
2550
2800
2900
3000
3100
3200
3300
3400
3500
3600
3700
3800
3900
4000
4100
4200
4300
4400
4500
4600
4700
4800
4900
5000
h = 5000 kJ/kg
kg/m 3
1100
0
10
100
200
300
400
500
600
700
800
900
1000
10
1200
Copyright © 1984. From NBS/NRC Steam Tables/1 by Lester Haar, John S. Gallagher, and George S. Kell. Reproduced by permission of Routledge/Taylor & Francis
Books, Inc.
2
20
%
10
80 0
=
ty
ali
Qu
Sa
id
iqu
dl
e
t
a
tur
0
140
1 00 0
0
100
0
120
1600
1800
kg/m 3
3000
2600
2400
kJ/
2200 kg
h=
0
0
0
2
00
100
200
300
400
500
600
700
4
550
0
1
800
1 20
60%
FIGURE A–9
T-s diagram for water.
Temperature, °C
Den
sity
=
50
00
0
900
3
300 k
g/m 3
1000
2
14
30
%
100 k
g/m 3
40
30
30 kg
/m 3
20
15
10
P=
300
20 00 b
15 000 ar
100 000
80000
0
50
4 00 6000
30000
0
20 0
15 00
00
1
40%
3 kg/m 3
8
6
4
3
2
1.5
1.0
1100
1
ens
ity
8
0.0
0
0.1
3k
g/m 3
D
0.0
0.8
0.6
0.4
0.3
0.2
0.1
0.0
5
0.08 0.
1
6
0.
0
0.04
3
0.0
0.02
15
|
=0
.01
kg/m 3
1004
0.
0 006
0. .004
0
0. 03
00
2
0
1200
23-R4232-APP1 6/8/07 5:09 PM Page 1004
Fundamentals of Thermal-Fluid Sciences
23-R4232-APP1 6/8/07 5:09 PM Page 1006
1006
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–11
Saturated refrigerant-134a—Temperature table
Specific volume,
m3/kg
Internal energy,
kJ/kg
Enthalpy,
kJ/kg
Sat.
Sat.
Temp., press., liquid,
T °C Psat kPa vf
Sat.
vapor,
vg
Sat.
liquid,
uf
Evap.,
ufg
Sat.
vapor,
ug
Sat.
liquid, Evap.,
hf
hfg
40
38
36
34
32
51.25
56.86
62.95
69.56
76.71
0.0007054
0.0007083
0.0007112
0.0007142
0.0007172
0.36081
0.32732
0.29751
0.27090
0.24711
0.036
2.475
4.992
7.517
10.05
207.40
206.04
204.67
203.29
201.91
207.37 0.000
208.51 2.515
209.66 5.037
210.81 7.566
211.96 10.10
225.86
224.61
223.35
222.09
220.81
30
28
26
24
22
84.43
92.76
101.73
111.37
121.72
0.0007203
0.0007234
0.0007265
0.0007297
0.0007329
0.22580
0.20666
0.18946
0.17395
0.15995
12.59
15.13
17.69
20.25
22.82
200.52
199.12
197.72
196.30
194.88
213.11
214.25
215.40
216.55
217.70
20
18
16
14
12
132.82
144.69
157.38
170.93
185.37
0.0007362
0.0007396
0.0007430
0.0007464
0.0007499
0.14729
0.13583
0.12542
0.11597
0.10736
25.39
27.98
30.57
33.17
35.78
193.45
192.01
190.56
189.09
187.62
10
8
6
4
2
200.74
217.08
234.44
252.85
272.36
0.0007535
0.0007571
0.0007608
0.0007646
0.0007684
0.099516
0.092352
0.085802
0.079804
0.074304
38.40
41.03
43.66
46.31
48.96
0
2
4
6
8
293.01
314.84
337.90
362.23
387.88
0.0007723
0.0007763
0.0007804
0.0007845
0.0007887
0.069255
0.064612
0.060338
0.056398
0.052762
10
12
14
16
18
414.89
443.31
473.19
504.58
537.52
0.0007930
0.0007975
0.0008020
0.0008066
0.0008113
0.049403
0.046295
0.043417
0.040748
0.038271
Entropy,
kJ/kg · K
Sat.
vapor,
hg
Sat.
liquid,
sf
Evap.,
sfg
Sat.
vapor,
sg
225.86
227.12
228.39
229.65
230.91
0.00000
0.01072
0.02138
0.03199
0.04253
0.96866
0.95511
0.94176
0.92859
0.91560
0.96866
0.96584
0.96315
0.96058
0.95813
12.65
15.20
17.76
20.33
22.91
219.52 232.17
218.22 233.43
216.92 234.68
215.59 235.92
214.26 s237.17
0.05301
0.06344
0.07382
0.08414
0.09441
0.90278
0.89012
0.87762
0.86527
0.85307
0.95579
0.95356
0.95144
0.94941
0.94748
218.84
219.98
221.13
222.27
223.40
25.49
28.09
30.69
33.30
35.92
212.91
211.55
210.18
208.79
207.38
238.41
239.64
240.87
242.09
243.30
0.10463
0.11481
0.12493
0.13501
0.14504
0.84101
0.82908
0.81729
0.80561
0.79406
0.94564
0.94389
0.94222
0.94063
0.93911
186.14
184.64
183.13
181.61
180.08
224.54
225.67
226.80
227.92
229.04
38.55
41.19
43.84
46.50
49.17
205.96
204.52
203.07
201.60
200.11
244.51
245.72
246.91
248.10
249.28
0.15504
0.16498
0.17489
0.18476
0.19459
0.78263
0.77130
0.76008
0.74896
0.73794
0.93766
0.93629
0.93497
0.93372
0.93253
51.63
54.30
56.99
59.68
62.39
178.53
176.97
175.39
173.80
172.19
230.16
231.27
232.38
233.48
234.58
51.86
54.55
57.25
59.97
62.69
198.60
197.07
195.51
193.94
192.35
250.45
251.61
252.77
253.91
255.04
0.20439
0.21415
0.22387
0.23356
0.24323
0.72701
0.71616
0.70540
0.69471
0.68410
0.93139
0.93031
0.92927
0.92828
0.92733
65.10
67.83
70.57
73.32
76.08
170.56
168.92
167.26
165.58
163.88
235.67
236.75
237.83
238.90
239.96
65.43
68.18
70.95
73.73
76.52
190.73
189.09
187.42
185.73
184.01
256.16
257.27
258.37
259.46
260.53
0.25286
0.26246
0.27204
0.28159
0.29112
0.67356
0.66308
0.65266
0.64230
0.63198
0.92641
0.92554
0.92470
0.92389
0.92310
(Continued)
23-R4232-APP1 6/8/07 5:09 PM Page 1007
Appendix 1
|
1007
TABLE A–11
Saturated refrigerant-134a—Temperature table (Continued)
Specific volume,
m3/kg
Sat.
Sat.
Temp., press., liquid,
T °C Psat kPa vf
Internal energy,
kJ/kg
Enthalpy,
kJ/kg
Entropy,
kJ/kg · K
Sat.
vapor,
vg
Sat.
Sat.
liquid, Evap., vapor,
uf
ufg
ug
Sat.
liquid, Evap.,
hf
hfg
Sat.
vapor,
hg
Sat.
liquid,
sf
Evap.,
sfg
Sat.
vapor,
sg
20
22
24
26
28
572.07
608.27
646.18
685.84
727.31
0.0008161
0.0008210
0.0008261
0.0008313
0.0008366
0.035969
0.033828
0.031834
0.029976
0.028242
78.86
81.64
84.44
87.26
90.09
162.16
160.42
158.65
156.87
155.05
241.02
242.06
243.10
244.12
245.14
79.32
82.14
84.98
87.83
90.69
182.27
180.49
178.69
176.85
174.99
261.59
262.64
263.67
264.68
265.68
0.30063
0.31011
0.31958
0.32903
0.33846
0.62172
0.61149
0.60130
0.59115
0.58102
0.92234
0.92160
0.92088
0.92018
0.91948
30
32
34
36
38
770.64
815.89
863.11
912.35
963.68
0.0008421
0.0008478
0.0008536
0.0008595
0.0008657
0.026622
0.025108
0.023691
0.022364
0.021119
92.93
95.79
98.66
101.55
104.45
153.22
151.35
149.46
147.54
145.58
246.14
247.14
248.12
249.08
250.04
93.58
96.48
99.40
102.33
105.29
173.08
171.14
169.17
167.16
165.10
266.66
267.62
268.57
269.49
270.39
0.34789
0.35730
0.36670
0.37609
0.38548
0.57091
0.56082
0.55074
0.54066
0.53058
0.91879
0.91811
0.91743
0.91675
0.91606
40
42
44
46
48
1017.1
1072.8
1130.7
1191.0
1253.6
0.0008720
0.0008786
0.0008854
0.0008924
0.0008996
0.019952
0.018855
0.017824
0.016853
0.015939
107.38
110.32
113.28
116.26
119.26
143.60
141.58
139.52
137.42
135.29
250.97
251.89
252.80
253.68
254.55
108.26
111.26
114.28
117.32
120.39
163.00
160.86
158.67
156.43
154.14
271.27
272.12
272.95
273.75
274.53
0.39486
0.40425
0.41363
0.42302
0.43242
0.52049
0.51039
0.50027
0.49012
0.47993
0.91536
0.91464
0.91391
0.91315
0.91236
52
56
60
65
70
75
1386.2
1529.1
1682.8
1891.0
2118.2
2365.8
0.0009150
0.0009317
0.0009498
0.0009750
0.0010037
0.0010372
0.014265
0.012771
0.011434
0.009950
0.008642
0.007480
125.33
131.49
137.76
145.77
154.01
162.53
130.88
126.28
121.46
115.05
108.14
100.60
256.21
257.77
259.22
260.82
262.15
263.13
126.59
132.91
139.36
147.62
156.13
164.98
149.39
144.38
139.10
132.02
124.32
115.85
275.98
277.30
278.46
279.64
280.46
280.82
0.45126
0.47018
0.48920
0.51320
0.53755
0.56241
0.45941
0.43863
0.41749
0.39039
0.36227
0.33272
0.91067
0.90880
0.90669
0.90359
0.89982
0.89512
80
85
90
95
100
2635.3
2928.2
3246.9
3594.1
3975.1
0.0010772
0.0011270
0.0011932
0.0012933
0.0015269
0.006436
0.005486
0.004599
0.003726
0.002630
171.40
180.77
190.89
202.40
218.72
92.23
82.67
71.29
56.47
29.19
263.63
263.44
262.18
258.87
247.91
174.24
184.07
194.76
207.05
224.79
106.35
95.44
82.35
65.21
33.58
280.59
279.51
277.11
272.26
258.37
0.58800
0.61473
0.64336
0.67578
0.72217
0.30111
0.26644
0.22674
0.17711
0.08999
0.88912
0.88117
0.87010
0.85289
0.81215
Source: Tables A–11 through A–13 are generated using the Engineering Equation Solver (EES) software developed by S. A. Klein and F. L. Alvarado.
The routine used in calculations is the R134a, which is based on the fundamental equation of state developed by R. Tillner-Roth and H.D. Baehr, “An
International Standard Formulation for the Thermodynamic Properties of 1,1,1,2-Tetrafluoroethane (HFC-134a) for temperatures from 170 K to 455 K
and Pressures up to 70 MPa,” J. Phys. Chem, Ref. Data, Vol. 23, No. 5, 1994. The enthalpy and entropy values of saturated liquid are set to zero at
40°C (and 40°F).
23-R4232-APP1 6/8/07 5:09 PM Page 1008
1008
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–12
Saturated refrigerant-134a—Pressure table
Specific volume,
m3/kg
Sat.
Sat.
Press., temp., liquid,
P kPa Tsat °C vf
Internal energy,
kJ/kg
Sat.
vapor,
vg
Sat.
Sat.
liquid, Evap., vapor,
uf
ufg
ug
Enthalpy,
kJ/kg
Sat.
liquid,
hf
Entropy,
kJ/kg · K
Sat.
Evap., vapor,
hfg
hg
Sat.
liquid,
sf
Evap.,
sfg
Sat.
vapor,
sg
60
70
80
90
100
36.95
33.87
31.13
28.65
26.37
0.0007098
0.0007144
0.0007185
0.0007223
0.0007259
0.31121
0.26929
0.23753
0.21263
0.19254
3.798
7.680
11.15
14.31
17.21
205.32
203.20
201.30
199.57
197.98
209.12
210.88
212.46
213.88
215.19
3.841
7.730
11.21
14.37
17.28
223.95
222.00
220.25
218.65
217.16
227.79
229.73
231.46
233.02
234.44
0.01634
0.03267
0.04711
0.06008
0.07188
0.94807
0.92775
0.90999
0.89419
0.87995
0.96441
0.96042
0.95710
0.95427
0.95183
120
140
160
180
200
22.32
18.77
15.60
12.73
10.09
0.0007324
0.0007383
0.0007437
0.0007487
0.0007533
0.16212
0.14014
0.12348
0.11041
0.099867
22.40
26.98
31.09
34.83
38.28
195.11
192.57
190.27
188.16
186.21
217.51
219.54
221.35
222.99
224.48
22.49
27.08
31.21
34.97
38.43
214.48
212.08
209.90
207.90
206.03
236.97
239.16
241.11
242.86
244.46
0.09275
0.11087
0.12693
0.14139
0.15457
0.85503
0.83368
0.81496
0.79826
0.78316
0.94779
0.94456
0.94190
0.93965
0.93773
240
280
320
360
400
5.38
1.25
2.46
5.82
8.91
0.0007620
0.0007699
0.0007772
0.0007841
0.0007907
0.083897
0.072352
0.063604
0.056738
0.051201
44.48
49.97
54.92
59.44
63.62
182.67
179.50
176.61
173.94
171.45
227.14
229.46
231.52
233.38
235.07
44.66
50.18
55.16
59.72
63.94
202.62
199.54
196.71
194.08
191.62
247.28
249.72
251.88
253.81
255.55
0.17794
0.19829
0.21637
0.23270
0.24761
0.75664
0.73381
0.71369
0.69566
0.67929
0.93458
0.93210
0.93006
0.92836
0.92691
450
500
550
600
650
12.46
15.71
18.73
21.55
24.20
0.0007985
0.0008059
0.0008130
0.0008199
0.0008266
0.045619
0.041118
0.037408
0.034295
0.031646
68.45
72.93
77.10
81.02
84.72
168.54
165.82
163.25
160.81
158.48
237.00
238.75
240.35
241.83
243.20
68.81
73.33
77.54
81.51
85.26
188.71
185.98
183.38
180.90
178.51
257.53
259.30
260.92
262.40
263.77
0.26465
0.28023
0.29461
0.30799
0.32051
0.66069
0.64377
0.62821
0.61378
0.60030
0.92535
0.92400
0.92282
0.92177
0.92081
700
750
800
850
26.69
29.06
31.31
33.45
0.0008331
0.0008395
0.0008458
0.0008520
0.029361
0.027371
0.025621
0.024069
88.24
91.59
94.79
97.87
156.24
154.08
152.00
149.98
244.48
245.67
246.79
247.85
88.82
92.22
95.47
98.60
176.21
173.98
171.82
169.71
265.03
266.20
267.29
268.31
0.33230
0.34345
0.35404
0.36413
0.58763
0.57567
0.56431
0.55349
0.91994
0.91912
0.91835
0.91762
900
950
1000
1200
1400
35.51
37.48
39.37
46.29
52.40
0.0008580
0.0008641
0.0008700
0.0008934
0.0009166
0.022683
0.021438
0.020313
0.016715
0.014107
100.83
103.69
106.45
116.70
125.94
148.01
146.10
144.23
137.11
130.43
248.85
249.79
250.68
253.81
256.37
101.61
104.51
107.32
117.77
127.22
167.66
165.64
163.67
156.10
148.90
269.26
270.15
270.99
273.87
276.12
0.37377
0.38301
0.39189
0.42441
0.45315
0.54315
0.53323
0.52368
0.48863
0.45734
0.91692
0.91624
0.91558
0.91303
0.91050
1600
1800
2000
2500
3000
57.88
62.87
67.45
77.54
86.16
0.0009400
0.0009639
0.0009886
0.0010566
0.0011406
0.012123
0.010559
0.009288
0.006936
0.005275
134.43
142.33
149.78
166.99
183.04
124.04
117.83
111.73
96.47
80.22
258.47
260.17
261.51
263.45
263.26
135.93
144.07
151.76
169.63
186.46
141.93
135.11
128.33
111.16
92.63
277.86
279.17
280.09
280.79
279.09
0.47911
0.50294
0.52509
0.57531
0.62118
0.42873
0.40204
0.37675
0.31695
0.25776
0.90784
0.90498
0.90184
0.89226
0.87894
23-R4232-APP1 6/8/07 5:09 PM Page 1009
Appendix 1
|
1009
TABLE A–13
Superheated refrigerant-134a
T
°C
v
m3/kg
Sat.
20
10
0
10
20
30
40
50
60
70
80
90
100
0.31121
0.33608
0.35048
0.36476
0.37893
0.39302
0.40705
0.42102
0.43495
0.44883
0.46269
0.47651
0.49032
0.50410
Sat.
10
0
10
20
30
40
50
60
70
80
90
100
0.11041
0.11189
0.11722
0.12240
0.12748
0.13248
0.13741
0.14230
0.14715
0.15196
0.15673
0.16149
0.16622
Sat.
0
10
20
30
40
50
60
70
80
90
100
110
120
130
140
0.07235
0.07282
0.07646
0.07997
0.08338
0.08672
0.09000
0.09324
0.09644
0.09961
0.10275
0.10587
0.10897
0.11205
0.11512
0.11818
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.06 MPa (Tsat 36.95°C)
209.12
220.60
227.55
234.66
241.92
249.35
256.95
264.71
272.64
280.73
288.99
297.41
306.00
314.74
227.79
240.76
248.58
256.54
264.66
272.94
281.37
289.97
298.74
307.66
316.75
326.00
335.42
344.99
0.9644
1.0174
1.0477
1.0774
1.1066
1.1353
1.1636
1.1915
1.2191
1.2463
1.2732
1.2997
1.3260
1.3520
P 0.18 MPa (Tsat 12.73°C)
222.99
225.02
232.48
240.00
247.64
255.41
263.31
271.36
279.56
287.91
296.42
305.07
313.88
242.86
245.16
253.58
262.04
270.59
279.25
288.05
296.98
306.05
315.27
324.63
334.14
343.80
0.9397
0.9484
0.9798
1.0102
1.0399
1.0690
1.0975
1.1256
1.1532
1.1805
1.2074
1.2339
1.2602
P 0.28 MPa (Tsat 1.25°C)
229.46
230.44
238.27
246.13
254.06
262.10
270.27
278.56
286.99
295.57
304.29
313.15
322.16
331.32
340.63
350.09
249.72
250.83
259.68
268.52
277.41
286.38
295.47
304.67
314.00
323.46
333.06
342.80
352.68
362.70
372.87
383.18
0.9321
0.9362
0.9680
0.9987
1.0285
1.0576
1.0862
1.1142
1.1418
1.1690
1.1958
1.2222
1.2483
1.2742
1.2997
1.3250
v
m3/kg
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.10 MPa (Tsat 26.37°C)
0.19254
0.19841
0.20743
0.21630
0.22506
0.23373
0.24233
0.25088
0.25937
0.26783
0.27626
0.28465
0.29303
0.30138
215.19
219.66
226.75
233.95
241.30
248.79
256.44
264.25
272.22
280.35
288.64
297.08
305.69
314.46
234.44
239.50
247.49
255.58
263.81
272.17
280.68
289.34
298.16
307.13
316.26
325.55
334.99
344.60
0.9518
0.9721
1.0030
1.0332
1.0628
1.0918
1.1203
1.1484
1.1762
1.2035
1.2305
1.2572
1.2836
1.3096
P 0.20 MPa (Tsat 10.09°C)
0.09987
0.09991
0.10481
0.10955
0.11418
0.11874
0.12322
0.12766
0.13206
0.13641
0.14074
0.14504
0.14933
224.48
224.55
232.09
239.67
247.35
255.14
263.08
271.15
279.37
287.73
296.25
304.92
313.74
244.46
244.54
253.05
261.58
270.18
278.89
287.72
296.68
305.78
315.01
324.40
333.93
343.60
0.9377
0.9380
0.9698
1.0004
1.0303
1.0595
1.0882
1.1163
1.1441
1.1714
1.1983
1.2249
1.2512
P 0.32 MPa (Tsat 2.46°C)
v
m3/kg
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.14 MPa (Tsat 18.77°C)
0.14014
219.54
239.16
0.9446
0.14605
0.15263
0.15908
0.16544
0.17172
0.17794
0.18412
0.19025
0.19635
0.20242
0.20847
0.21449
225.91
233.23
240.66
248.22
255.93
263.79
271.79
279.96
288.28
296.75
305.38
314.17
246.36
254.60
262.93
271.38
279.97
288.70
297.57
306.59
315.77
325.09
334.57
344.20
0.9724
1.0031
1.0331
1.0624
1.0912
1.1195
1.1474
1.1749
1.2020
1.2288
1.2553
1.2814
P 0.24 MPa (Tsat 5.38°C)
0.08390
227.14
247.28
0.9346
0.08617
0.09026
0.09423
0.09812
0.10193
0.10570
0.10942
0.11310
0.11675
0.12038
0.12398
231.29
238.98
246.74
254.61
262.59
270.71
278.97
287.36
295.91
304.60
313.44
251.97
260.65
269.36
278.16
287.06
296.08
305.23
314.51
323.93
333.49
343.20
0.9519
0.9831
1.0134
1.0429
1.0718
1.1001
1.1280
1.1554
1.1825
1.2092
1.2356
P 0.40 MPa (Tsat 8.91°C)
0.06360
231.52
251.88
0.9301
0.051201
235.07
255.55 0.9269
0.06609
0.06925
0.07231
0.07530
0.07823
0.08111
0.08395
0.08675
0.08953
0.09229
0.09503
0.09775
0.10045
0.10314
237.54
245.50
253.50
261.60
269.82
278.15
286.62
295.22
303.97
312.86
321.89
331.07
340.39
349.86
258.69
267.66
276.65
285.70
294.85
304.11
313.48
322.98
332.62
342.39
352.30
362.35
372.54
382.87
0.9544
0.9856
1.0157
1.0451
1.0739
1.1021
1.1298
1.1571
1.1840
1.2105
1.2367
1.2626
1.2882
1.3135
0.051506
0.054213
0.056796
0.059292
0.061724
0.064104
0.066443
0.068747
0.071023
0.073274
0.075504
0.077717
0.079913
0.082096
235.97
244.18
252.36
260.58
268.90
277.32
285.86
294.53
303.32
312.26
321.33
330.55
339.90
349.41
256.58
265.86
275.07
284.30
293.59
302.96
312.44
322.02
331.73
341.57
351.53
361.63
371.87
382.24
0.9305
0.9628
0.9937
1.0236
1.0528
1.0814
1.1094
1.1369
1.1640
1.1907
1.2171
1.2431
1.2688
1.2942
23-R4232-APP1 6/8/07 5:09 PM Page 1010
1010
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–13
Superheated refrigerant-134a (Continued)
T
°C
v
m3/kg
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.50 MPa (Tsat 15.71°C)
Sat.
20
30
40
50
60
70
80
90
100
110
120
130
140
150
160
0.041118
0.042115
0.044338
0.046456
0.048499
0.050485
0.052427
0.054331
0.056205
0.058053
0.059880
0.061687
0.063479
0.065256
0.067021
0.068775
238.75
242.40
250.84
259.26
267.72
276.25
284.89
293.64
302.51
311.50
320.63
329.89
339.29
348.83
358.51
368.33
259.30
263.46
273.01
282.48
291.96
301.50
311.10
320.80
330.61
340.53
350.57
360.73
371.03
381.46
392.02
402.72
0.9240
0.9383
0.9703
1.0011
1.0309
1.0599
1.0883
1.1162
1.1436
1.1705
1.1971
1.2233
1.2491
1.2747
1.2999
1.3249
P 0.80 MPa (Tsat 31.31°C)
Sat.
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
0.025621
0.027035
0.028547
0.029973
0.031340
0.032659
0.033941
0.035193
0.036420
0.037625
0.038813
0.039985
0.041143
0.042290
0.043427
0.044554
246.79
254.82
263.86
272.83
281.81
290.84
299.95
309.15
318.45
327.87
337.40
347.06
356.85
366.76
376.81
386.99
267.29
276.45
286.69
296.81
306.88
316.97
327.10
337.30
347.59
357.97
368.45
379.05
389.76
400.59
411.55
422.64
0.9183
0.9480
0.9802
1.0110
1.0408
1.0698
1.0981
1.1258
1.1530
1.1798
1.2061
1.2321
1.2577
1.2830
1.3080
1.3327
P 1.20 MPa (Tsat 46.29°C)
Sat.
50
60
70
80
90
100
110
120
130
140
150
160
170
180
0.016715
0.017201
0.018404
0.019502
0.020529
0.021506
0.022442
0.023348
0.024228
0.025086
0.025927
0.026753
0.027566
0.028367
0.029158
253.81
257.63
267.56
277.21
286.75
296.26
305.80
315.38
325.03
334.77
344.61
354.56
364.61
374.78
385.08
273.87
278.27
289.64
300.61
311.39
322.07
332.73
343.40
354.11
364.88
375.72
386.66
397.69
408.82
420.07
0.9130
0.9267
0.9614
0.9938
1.0248
1.0546
1.0836
1.1118
1.1394
1.1664
1.1930
1.2192
1.2449
1.2703
1.2954
v
m3/kg
u
kJ/kg
h
kJ/kg
s
kJ/kg K
P 0.60 MPa (Tsat 21.55°C)
v
m3/kg
u
kJ/kg
h
s
kJ/kg kJ/kg K
P 0.70 MPa (Tsat 26.69°C)
0.034295
241.83
262.40
0.9218
0.029361
244.48
265.03
0.9199
0.035984
0.037865
0.039659
0.041389
0.043069
0.044710
0.046318
0.047900
0.049458
0.050997
0.052519
0.054027
0.055522
0.057006
249.22
257.86
266.48
275.15
283.89
292.73
301.67
310.73
319.91
329.23
338.67
348.25
357.96
367.81
270.81
280.58
290.28
299.98
309.73
319.55
329.46
339.47
349.59
359.82
370.18
380.66
391.27
402.01
0.9499
0.9816
1.0121
1.0417
1.0705
1.0987
1.1264
1.1536
1.1803
1.2067
1.2327
1.2584
1.2838
1.3088
0.029966
0.031696
0.033322
0.034875
0.036373
0.037829
0.039250
0.040642
0.042010
0.043358
0.044688
0.046004
0.047306
0.048597
247.48
256.39
265.20
274.01
282.87
291.80
300.82
309.95
319.19
328.55
338.04
347.66
357.41
367.29
268.45
278.57
288.53
298.42
308.33
318.28
328.29
338.40
348.60
358.90
369.32
379.86
390.52
401.31
0.9313
0.9641
0.9954
1.0256
1.0549
1.0835
1.1114
1.1389
1.1658
1.1924
1.2186
1.2444
1.2699
1.2951
P 0.90 MPa (Tsat 35.51°C)
0.022683
0.023375
0.024809
0.026146
0.027413
0.028630
0.029806
0.030951
0.032068
0.033164
0.034241
0.035302
0.036349
0.037384
0.038408
0.039423
248.85
253.13
262.44
271.60
280.72
289.86
299.06
308.34
317.70
327.18
336.76
346.46
356.28
366.23
376.31
386.52
269.26
274.17
284.77
295.13
305.39
315.63
325.89
336.19
346.56
357.02
367.58
378.23
389.00
399.88
410.88
422.00
0.9169
0.9327
0.9660
0.9976
1.0280
1.0574
1.0860
1.1140
1.1414
1.1684
1.1949
1.2210
1.2467
1.2721
1.2972
1.3221
P 1.40 MPa (Tsat 52.40°C)
P 1.00 MPa (Tsat 39.37°C)
0.020313
0.020406
0.021796
0.023068
0.024261
0.025398
0.026492
0.027552
0.028584
0.029592
0.030581
0.031554
0.032512
0.033457
0.034392
0.035317
250.68
251.30
260.94
270.32
279.59
288.86
298.15
307.51
316.94
326.47
336.11
345.85
355.71
365.70
375.81
386.04
270.99
271.71
282.74
293.38
303.85
314.25
324.64
335.06
345.53
356.06
366.69
377.40
388.22
399.15
410.20
421.36
0.9156
0.9179
0.9525
0.9850
1.0160
1.0458
1.0748
1.1031
1.1308
1.1580
1.1846
1.2109
1.2368
1.2623
1.2875
1.3124
P 1.60 MPa (Tsat 57.88°C)
0.014107
256.37
276.12
0.9105
0.012123
258.47
277.86
0.9078
0.015005
0.016060
0.017023
0.017923
0.018778
0.019597
0.020388
0.021155
0.021904
0.022636
0.023355
0.024061
0.024757
264.46
274.62
284.51
294.28
304.01
313.76
323.55
333.41
343.34
353.37
363.51
373.75
384.10
285.47
297.10
308.34
319.37
330.30
341.19
352.09
363.02
374.01
385.07
396.20
407.43
418.76
0.9389
0.9733
1.0056
1.0364
1.0661
1.0949
1.1230
1.1504
1.1773
1.2038
1.2298
1.2554
1.2807
0.012372
0.013430
0.014362
0.015215
0.016014
0.016773
0.017500
0.018201
0.018882
0.019545
0.020194
0.020830
0.021456
260.89
271.76
282.09
292.17
302.14
312.07
322.02
332.00
342.05
352.17
362.38
372.69
383.11
280.69
293.25
305.07
316.52
327.76
338.91
350.02
361.12
372.26
383.44
394.69
406.02
417.44
0.9163
0.9535
0.9875
1.0194
1.0500
1.0795
1.1081
1.1360
1.1632
1.1900
1.2163
1.2421
1.2676
23-R4232-APP1 6/8/07 5:09 PM Page 1018
1018
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–21
Ideal-gas properties of air
T
K
h
kJ/kg
Pr
u
kJ/kg
vr
s°
kJ/kg · K
T
K
h
kJ/kg
Pr
u
kJ/kg
vr
s°
kJ/kg · K
200
210
220
230
240
199.97
209.97
219.97
230.02
240.02
0.3363
0.3987
0.4690
0.5477
0.6355
142.56
149.69
156.82
164.00
171.13
1707.0
1512.0
1346.0
1205.0
1084.0
1.29559
1.34444
1.39105
1.43557
1.47824
580
590
600
610
620
586.04
596.52
607.02
617.53
628.07
14.38
15.31
16.28
17.30
18.36
419.55
427.15
434.78
442.42
450.09
115.7
110.6
105.8
101.2
96.92
2.37348
2.39140
2.40902
2.42644
2.44356
250
260
270
280
285
250.05
260.09
270.11
280.13
285.14
0.7329
0.8405
0.9590
1.0889
1.1584
178.28
185.45
192.60
199.75
203.33
979.0
887.8
808.0
738.0
706.1
1.51917
1.55848
1.59634
1.63279
1.65055
630
640
650
660
670
638.63
649.22
659.84
670.47
681.14
19.84
20.64
21.86
23.13
24.46
457.78
465.50
473.25
481.01
488.81
92.84
88.99
85.34
81.89
78.61
2.46048
2.47716
2.49364
2.50985
2.52589
290
295
298
300
305
290.16
295.17
298.18
300.19
305.22
1.2311
1.3068
1.3543
1.3860
1.4686
206.91
210.49
212.64
214.07
217.67
676.1
647.9
631.9
621.2
596.0
1.66802
1.68515
1.69528
1.70203
1.71865
680
690
700
710
720
691.82
702.52
713.27
724.04
734.82
25.85
27.29
28.80
30.38
32.02
496.62
504.45
512.33
520.23
528.14
75.50
72.56
69.76
67.07
64.53
2.54175
2.55731
2.57277
2.58810
2.60319
310
315
320
325
330
310.24
315.27
320.29
325.31
330.34
1.5546
1.6442
1.7375
1.8345
1.9352
221.25
224.85
228.42
232.02
235.61
572.3
549.8
528.6
508.4
489.4
1.73498
1.75106
1.76690
1.78249
1.79783
730
740
750
760
780
745.62
756.44
767.29
778.18
800.03
33.72
35.50
37.35
39.27
43.35
536.07
544.02
551.99
560.01
576.12
62.13
59.82
57.63
55.54
51.64
2.61803
2.63280
2.64737
2.66176
2.69013
340
350
360
370
380
340.42
350.49
360.58
370.67
380.77
2.149
2.379
2.626
2.892
3.176
242.82
250.02
257.24
264.46
271.69
454.1
422.2
393.4
367.2
343.4
1.82790
1.85708
1.88543
1.91313
1.94001
800
820
840
860
880
821.95
843.98
866.08
888.27
910.56
47.75
52.59
57.60
63.09
68.98
592.30
608.59
624.95
641.40
657.95
48.08
44.84
41.85
39.12
36.61
2.71787
2.74504
2.77170
2.79783
2.82344
390
400
410
420
430
390.88
400.98
411.12
421.26
431.43
3.481
3.806
4.153
4.522
4.915
278.93
286.16
293.43
300.69
307.99
321.5
301.6
283.3
266.6
251.1
1.96633
1.99194
2.01699
2.04142
2.06533
900
920
940
960
980
932.93
955.38
977.92
1000.55
1023.25
75.29
82.05
89.28
97.00
105.2
674.58
691.28
708.08
725.02
741.98
34.31
32.18
30.22
28.40
26.73
2.84856
2.87324
2.89748
2.92128
2.94468
440
450
460
470
480
441.61
451.80
462.02
472.24
482.49
5.332
5.775
6.245
6.742
7.268
315.30
322.62
329.97
337.32
344.70
236.8
223.6
211.4
200.1
189.5
2.08870
2.11161
2.13407
2.15604
2.17760
1000
1020
1040
1060
1080
1046.04
1068.89
1091.85
1114.86
1137.89
114.0
123.4
133.3
143.9
155.2
758.94
776.10
793.36
810.62
827.88
25.17
23.72
23.29
21.14
19.98
2.96770
2.99034
3.01260
3.03449
3.05608
490
500
510
520
530
492.74
503.02
513.32
523.63
533.98
7.824
8.411
9.031
9.684
10.37
352.08
359.49
366.92
374.36
381.84
179.7
170.6
162.1
154.1
146.7
2.19876
2.21952
2.23993
2.25997
2.27967
1100
1120
1140
1160
1180
1161.07
1184.28
1207.57
1230.92
1254.34
167.1
179.7
193.1
207.2
222.2
845.33
862.79
880.35
897.91
915.57
18.896
17.886
16.946
16.064
15.241
3.07732
3.09825
3.11883
3.13916
3.15916
540
550
560
570
544.35
555.74
565.17
575.59
11.10
11.86
12.66
13.50
389.34
396.86
404.42
411.97
139.7
133.1
127.0
121.2
2.29906
2.31809
2.33685
2.35531
1200
1220
1240
1277.79
1301.31
1324.93
238.0
254.7
272.3
933.33
951.09
968.95
14.470
13.747
13.069
3.17888
3.19834
3.21751
(Continued)
23-R4232-APP1 6/8/07 5:09 PM Page 1019
Appendix 1
|
1019
TABLE A–21
Ideal-gas properties of air (Concluded)
T
K
h
kJ/kg
Pr
u
kJ/kg
vr
s°
kJ/kg · K
T
K
h
kJ/kg
1260
1280
1348.55
1372.24
290.8
310.4
986.90
1004.76
12.435 3.23638
11.835 3.25510
1600 1757.57
1620 1782.00
1300
1320
1340
1360
1380
1395.97
1419.76
1443.60
1467.49
1491.44
330.9
352.5
375.3
399.1
424.2
1022.82
1040.88
1058.94
1077.10
1095.26
11.275
10.747
10.247
9.780
9.337
3.27345
3.29160
3.30959
3.32724
3.34474
1640
1660
1680
1700
1750
1806.46 878.9
1830.96 925.6
1855.50 974.2
1880.1 1025
1941.6 1161
1335.72
1354.48
1373.24
1392.7
1439.8
5.355
5.147
4.949
4.761
4.328
3.55381
3.56867
3.58335
3.5979
3.6336
1400
1420
1440
1460
1480
1515.42
1539.44
1563.51
1587.63
1611.79
450.5
478.0
506.9
537.1
568.8
1113.52
1131.77
1150.13
1168.49
1186.95
8.919
8.526
8.153
7.801
7.468
3.36200
3.37901
3.39586
3.41247
3.42892
1800
1850
1900
1950
2000
2003.3
2065.3
2127.4
2189.7
2252.1
1310
1475
1655
1852
2068
1487.2
1534.9
1582.6
1630.6
1678.7
3.994
3.601
3.295
3.022
2.776
3.6684
3.7023
3.7354
3.7677
3.7994
1500
1520
1540
1560
1580
1635.97
1660.23
1684.51
1708.82
1733.17
601.9
636.5
672.8
710.5
750.0
1205.41
1223.87
1242.43
1260.99
1279.65
7.152
6.854
6.569
6.301
6.046
3.44516
3.46120
3.47712
3.49276
3.50829
2050
2100
2150
2200
2250
2314.6
2377.7
2440.3
2503.2
2566.4
2303
2559
2837
3138
3464
1726.8
1775.3
1823.8
1872.4
1921.3
2.555
2.356
2.175
2.012
1.864
3.8303
3.8605
3.8901
3.9191
3.9474
Pr
u
kJ/kg
vr
791.2 1298.30 5.804
834.1 1316.96 5.574
s°
kJ/kg · K
3.52364
3.53879
Note: The properties Pr (relative pressure) and vr (relative specific volume) are dimensionless quantities used in the analysis of isentropic processes, and
should not be confused with the properties pressure and specific volume.
Source: Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), pp. 785–86, table A–5. Originally published in J. H. Keenan and
J. Kaye, Gas Tables (New York: John Wiley & Sons, 1948).
23-R4232-APP1 6/8/07 5:09 PM Page 1020
1020
|
Fundamentals of Thermal-Fluid Sciences
TABLE A–22
Properties of air at 1 atm pressure
Temp.
T, C
Density
r, kg /m3
Specific
Heat
cp, J/kg · K
Thermal
Conductivity
k, W/m · K
150
100
50
40
30
20
10
0
5
10
15
20
25
30
35
40
45
50
60
70
80
90
100
120
140
160
180
200
250
300
350
400
450
500
600
700
800
900
1000
1500
2000
2.866
2.038
1.582
1.514
1.451
1.394
1.341
1.292
1.269
1.246
1.225
1.204
1.184
1.164
1.145
1.127
1.109
1.092
1.059
1.028
0.9994
0.9718
0.9458
0.8977
0.8542
0.8148
0.7788
0.7459
0.6746
0.6158
0.5664
0.5243
0.4880
0.4565
0.4042
0.3627
0.3289
0.3008
0.2772
0.1990
0.1553
983
966
999
1002
1004
1005
1006
1006
1006
1006
1007
1007
1007
1007
1007
1007
1007
1007
1007
1007
1008
1008
1009
1011
1013
1016
1019
1023
1033
1044
1056
1069
1081
1093
1115
1135
1153
1169
1184
1234
1264
0.01171
0.01582
0.01979
0.02057
0.02134
0.02211
0.02288
0.02364
0.02401
0.02439
0.02476
0.02514
0.02551
0.02588
0.02625
0.02662
0.02699
0.02735
0.02808
0.02881
0.02953
0.03024
0.03095
0.03235
0.03374
0.03511
0.03646
0.03779
0.04104
0.04418
0.04721
0.05015
0.05298
0.05572
0.06093
0.06581
0.07037
0.07465
0.07868
0.09599
0.11113
Thermal
Diffusivity
a, m2/s
4.158
8.036
1.252
1.356
1.465
1.578
1.696
1.818
1.880
1.944
2.009
2.074
2.141
2.208
2.277
2.346
2.416
2.487
2.632
2.780
2.931
3.086
3.243
3.565
3.898
4.241
4.593
4.954
5.890
6.871
7.892
8.951
1.004
1.117
1.352
1.598
1.855
2.122
2.398
3.908
5.664
106
106
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
104
104
104
104
104
104
104
104
104
Dynamic
Viscosity
m, kg/m · s
8.636
1.189
1.474
1.527
1.579
1.630
1.680
1.729
1.754
1.778
1.802
1.825
1.849
1.872
1.895
1.918
1.941
1.963
2.008
2.052
2.096
2.139
2.181
2.264
2.345
2.420
2.504
2.577
2.760
2.934
3.101
3.261
3.415
3.563
3.846
4.111
4.362
4.600
4.826
5.817
6.630
106
106
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
Kinematic
Viscosity
n, m2 /s
3.013
5.837
9.319
1.008
1.087
1.169
1.252
1.338
1.382
1.426
1.470
1.516
1.562
1.608
1.655
1.702
1.750
1.798
1.896
1.995
2.097
2.201
2.306
2.522
2.745
2.975
3.212
3.455
4.091
4.765
5.475
6.219
6.997
7.806
9.515
1.133
1.326
1.529
1.741
2.922
4.270
106
106
106
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
105
104
104
104
104
104
104
Prandtl
Number
Pr
0.7246
0.7263
0.7440
0.7436
0.7425
0.7408
0.7387
0.7362
0.7350
0.7336
0.7323
0.7309
0.7296
0.7282
0.7268
0.7255
0.7241
0.7228
0.7202
0.7177
0.7154
0.7132
0.7111
0.7073
0.7041
0.7014
0.6992
0.6974
0.6946
0.6935
0.6937
0.6948
0.6965
0.6986
0.7037
0.7092
0.7149
0.7206
0.7260
0.7478
0.7539
Note: For ideal gases, the properties cp, k, m, and Pr are independent of pressure. The properties r, n, and a at a pressure P (in atm) other than 1 atm are
determined by multiplying the values of r at the given temperature by P and by dividing n and a by P.
Source: Data generated from the EES software developed by S. A. Klein and F. L. Alvarado. Original sources: Keenan, Chao, Keyes, Gas Tables, Wiley, 1984;
and Thermophysical Properties of Matter. Vol. 3: Thermal Conductivity, Y. S. Touloukian, P. E. Liley, S. C. Saxena, Vol. 11: Viscosity, Y. S. Touloukian, S. C.
Saxena, and P. Hestermans, IFI/Plenun, NY, 1970, ISBN 0-306067020-8.
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