Appendix A.2. Physical Properties of Water

A.2-1. Latent Heat of Water at 273.15 K (0°C)
Latent heat of fusion=1436.3 cal/g mol
 =79.724 cal/g
 =2585.3 btu/lb mol
 =6013.4 kJ/kg mol
Source: O. A. Hougen, K. M. Watson, and R. A. Ragatz, Chemical Process Principles, Part I, 2nd ed. New York: John Wiley & Sons, Inc., 1954.

Latent heat of vaporization at 298.15 K (25°C)
Pressure (mm Hg)Latent Heat
23.7544 020 kJ/kg mol, 10.514 kcal/g mol, 18 925 btu/lb mol
76044 045 kJ/kg mol, 10.520 kcal/g mol, 18 936 btu/lb mol
Source: National Bureau of Standards, Circular 500.

A.2-2. Vapor Pressure of Water
TemperatureVapor PressureTemperatureVapor Pressure
K°CKpamm HgK°CkPamm Hg
273.1500.6114.58323.155012.33392.51
283.15101.2289.21333.156019.92149.4
293.15202.33817.54343.157031.16233.7
298.15253.16823.76353.158047.34355.1
303.15304.24231.82363.159070.10525.8
313.15407.37555.32373.15100101.325760.0
Source: Physikalish-technishe, Reichsansalt, Holborn, Scheel, and Henning, Warmetabellen. Brunswick, Germany: Friedrich Viewig and Son, 1909.

A.2-3. Density of Liquid Water
TemperatureDensityTemperatureDensity
K°Cg/cm3kg/m3K°Cg/cm3kg/m3
273.1500.99987999.87323.15500.98807988.07
277.1541.000001000.00333.15600.98324983.24
283.15100.99973999.73343.15700.97781977.81
293.15200.99823998.23353.15800.97183971.83
298.15250.99708997.08363.15900.96534965.34
303.15300.99568995.68373.151000.95838958.38
313.15400.99225992.25    
Source: R. H. Perry and C. H. Chilton, Chemical Engineers' Handbook, 5th ed. New York: McGraw-Hill Book Company, 1973. With permission.

A.2-4. Viscosity of Liquid Water
TemperatureViscosity [(Pa · s)103, (kg/m · s) 103, or cp]TemperatureViscosity, [(Pa · s)103, (kg/m · s) 103, or cp]
K°CK°C
273.1501.7921323.15500.5494
275.1521.6728325.15520.5315
277.1541.5674327.15540.5146
279.1561.4728329.15560.4985
281.1581.3860331.15580.4832
283.15101.3077333.15600.4688
285.15121.2363335.15620.4550
287.15141.1709337.15640.4418
289.15161.1111339.15660.4293
291.15181.0559341.15680.4174
293.15201.0050343.15700.4061
293.3520.21.0000345.15720.3952
295.15220.9579347.15740.3849
297.15240.9142349.15760.3750
298.15250.8937351.15780.3655
299.15260.8737353.15800.3565
301.15280.8360355.15820.3478
303.15300.8007357.15840.3395
305.15320.7679359.15860.3315
307.15340.7371361.15880.3239
309.15360.7085363.15900.3165
311.15380.6814365.15920.3095
313.15400.6560367.15940.3027
315.15420.6321369.15960.2962
317.15440.6097371.15980.2899
319.15460.5883373.151000.2838
321.15480.5683   
Source: Bingham, Fluidity and Plasticity. New York: McGraw-Hill Book Company, 1922. With permission.

A.2-5. Heat Capacity of Liquid Water at 101.325 kPa (1 Atm)
TemperatureHeat Capacity, cpTemperatureHeat Capacity, cp
°CKcal/g · °CkJ/kg · K°CKcal/g · °CkJ/kg · K
0273.151.00804.22050323.150.99924.183
10283.151.00194.19560333.151.00014.187
20293.150.99954.18570343.151.00134.192
25298.150.99894.18280353.151.00294.199
30303.150.99874.18190363.151.00504.208
40313.150.99874.181100373.151.00764.219
Source: N. S. Osborne, H. F. Stimson, and D. C. Ginnings, Bur. Standards J. Res., 23, 197 (1939).

A.2-6. Thermal Conductivity of Liquid Water
TemperatureThermal Conductivity
°C°FKbtu/h · ft · °FW/m · K
032273.150.3290.569
37.8100311.00.3630.628
93.3200366.50.3930.680
148.9300422.10.3950.684
215.6420588.80.3760.651
326.7620599.90.2750.476
Source: D. L. Timrot and N. B. Vargaftik, J. Tech. Phys. (U.S.S.R.), 10, 1063 (1940); 6th International Conference on the Properties of Steam, Paris, 1964.

A.2-7. Vapor Pressure of Saturated Ice–Water Vapor and Heat of Sublimation
TemperatureVapor PressureHeat of Sublimation
K°F°CkPaPsiamm Hgbtu/lbmkJ/kg
273.23206.107 × 1018.858 × 1024.5811218.62834.5
266.520−6.73.478 × 1015.045 × 1022.6091219.32836.1
261.010−12.22.128 × 1013.087 × 1021.5961219.72837.0
255.40−17.81.275 × 1011.849 × 1020.95621220.12838.0
249.9−10−23.37.411 × 1021.082 × 1020.55961220.32838.4
244.3−20−28.93.820 × 1026.181 × 1030.31971220.52838.9
238.8−30−34.42.372 × 1023.440 × 1030.17791220.52838.9
233.2−40−40.01.283 × 1021.861 × 1030.096241220.52838.9
Source: ASHRAE, Handbook of Fundamentals. New York: ASHRAE, 1972.

A.2-8. Heat Capacity of Ice
TemperaturecpTemperaturecp
°FKbtu/lbm · °FkJ/kg · K°FKbtu/lbm · °FkJ/kg · K
32273.150.5002.093−10249.850.4611.930
20266.450.4902.052−20244.250.4521.892
10260.950.4812.014−30238.750.4421.850
0255.350.4721.976−40233.150.4331.813
Source: Adapted from ASHRAE, Handbook of Fundamentals. New York: ASHRAE, 1972.

A.2-9. Properties of Saturated Steam and Water (Steam Table), SI Units
Temperature (°C)Vapor Pressure (kPa)Specific Volume (m3/kg)Enthalpy (kJ/kg)Entropy (kJ/kg · K)
LiquidSat'd VaporLiquidSat'd VaporLiquidSat'd Vapor
0.010.61130.0010002206.1360.002501.40.00009.1562
30.75770.0010001168.13212.572506.90.04579.0773
60.93490.0010001137.73425.202512.40.09129.0003
91.14770.0010003113.38637.802517.90.13628.9253
121.40220.001000593.78450.412523.40.18068.8524
151.70510.001000977.92662.992528.90.22458.7814
182.06400.001001465.03875.582534.40.26798.7123
212.4870.001002054.51488.142539.90.31098.6450
242.9850.001002745.883100.702545.40.35348.5794
253.1690.001002943.360104.892547.20.36748.5580
273.5670.001003538.774113.252550.80.39548.5156
304.2460.001004332.894125.792556.30.43698.4533
335.0340.001005328.011138.332561.70.47818.3927
365.9470.001006323.940150.862567.10.51888.3336
407.3840.001007819.523167.572574.30.57258.2570
459.5930.001009915.258188.452583.20.63878.1648
5012.3490.001012112.032209.332592.10.70388.0763
5515.7580.00101469.568230.232600.90.76797.9913
6019.9400.00101727.671251.132609.60.83127.9096
6525.030.00101996.197272.062618.30.89357.8310
7031.190.00102285.042292.982626.80.95497.7553
7538.580.00102594.131313.932635.31.01557.6824
8047.390.00102913.407334.912643.71.07537.6122
8557.830.00103252.828355.902651.91.13437.5445
9070.140.00103602.361376.922660.11.19257.4791
9584.550.00103971.9819397.962668.11.25007.4159
100101.350.00104351.6729419.042676.11.30697.3549
105120.820.00104751.4194440.152683.81.36307.2958
110143.270.00105161.2102461.302691.51.41857.2387
115169.060.00105591.0366482.482699.01.47347.1833
120198.530.00106030.8919503.712706.31.52767.1296
125232.10.00106490.7706524.992713.51.58137.0775
130270.10.00106970.6685546.312720.51.63447.0269
135313.00.00107460.5822567.692727.31.68706.9777
140316.30.00107970.5089589.132733.91.73916.9299
145415.40.00108500.4463610.632740.31.79076.8833
150475.80.00109050.3928632.202746.51.84186.8379
155543.10.00109610.3468653.842752.41.89256.7935
160617.80.00110200.3071675.552758.11.94276.7502
165700.50.00110800.2727697.342763.51.99256.7078
170791.70.00111430.2428719.212768.72.04196.6663
175892.00.00112070.2168741.172773.62.09096.6256
1801002.10.00112740.19405763.222778.22.13966.5857
1901254.40.00114140.15654807.622786.42.23596.5079
2001553.80.00115650.12736852.452793.22.33096.4323
22525480.00119920.07849966.782803.32.56396.2503
25039730.00125120.050131085.362801.52.79276.0730
27559420.00131680.032791210.072785.03.02085.8938
30085810.00104360.021671344.02749.03.25345.7045
Source: Abridged from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables—Metric Units. New York: John Wiley & Sons, Inc., 1969. Reprinted by permission of John Wiley & Sons, Inc.

A.2-9. Properties of Saturated Steam and Water (Steam Table), English Units
Temperature (°F)Vapor Pressure (psia)Specific Volume (ft3/lbm)Enthalpy (btu/lbm)Entropy (btu/lbm · °F)
LiquidSat'd VaporLiquidSat'd VaporLiquidSat'd Vapor
32.020.088660.01602233020.001075.40.0002.1869
350.099920.01602129483.001076.70.006072.1764
400.121660.01602024458.021078.90.016172.1592
450.147480.016021203713.041081.10.026182.1423
500.178030.0160241704.218.061083.30.036072.1259
550.21400.0160291431.423.071085.50.045862.1099
600.25630.0160351206.928.081087.70.055552.0943
650.30570.0160421021.533.091089.90.065142.0791
700.36220.016051867.738.091092.00.074632.0642
750.43000.016061739.743.091094.20.084022.0497
800.50730.016073632.848.091096.40.093322.0356
850.59640.016085543.153.081098.60.102522.0218
900.69880.016099467.758.071100.70.111652.0083
950.81620.016114404.063.061102.90.120681.9951
1000.95030.016130350.068.051105.00.129631.9822
1101.27630.016166265.178.021109.30.147301.9574
1201.69450.016205203.088.001113.50.164651.9336
1302.2250.016247157.1797.981117.80.181721.9109
1402.8920.016293122.88107.961121.90.198511.8892
1503.7220.01634396.99117.961126.10.215031.8684
1604.7450.01639577.23127.961130.10.231301.8484
1705.9960.01645062.02137.971134.20.247321.8293
1807.5150.01650950.20147.991138.20.263111.8109
1909.3430.01657040.95158.031142.10.278661.7932
20011.5290.01663433.63168.071145.90.294001.7762
21014.1250.01670227.82178.141149.70.309131.7599
21214.6980.01671626.80180.161150.50.312131.7567
22017.1880.01677223.15188.221153.50.324061.7441
23020.780.01684519.386198.321157.10.338801.7289
24024.970.01692216.327208.441160.70.353351.7143
25029.820.01700113.826218.591164.20.367721.7001
26035.420.01708411.768228.761167.60.381931.6864
27041.850.01717010.066238.951170.90.395971.6731
28049.180.0172598.650249.181174.10.409861.6602
29057.330.0173527.467259.441177.20.423601.6477
30066.980.0174486.472269.731180.20.437201.6356
31077.640.0175485.632280.061183.00.450671.6238
32089.600.0176524.919290.431185.80.464001.6123
330103.000.0177604.312300.841188.40.477221.6010
340117.930.0178723.792311.301190.80.490311.5901
350134.530.0179883.346321.801193.10.503291.5793
360152.920.0181082.961332.351195.20.516171.5688
370173.230.0182332.628342.961197.20.528941.5585
380195.600.0183632.339353.621199.00.541631.5483
390220.20.0184982.087364.341200.60.554221.5383
400247.10.0186381.8661375.121202.00.566721.5284
410276.50.0187841.6726385.971203.10.579161.5187
450422.10.0194331.1011430.21205.60.62821.4806
Source: Abridged from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables—English Units. New York: John Wiley & Sons, Inc., 1969. Reprinted by permission of John Wiley & Sons, Inc.

A.2-10. Properties of Superheated Steam (Steam Table), SI Units (ν, specific volume, m3/kg; H, enthalpy, kJ/kg; s, entropy, kJ/kg · K)
Absolute Pressure, kPa (Sat. Temp.,°C) Temperature (°C)
 100150200250300360420500
 ν17.19619.51221.82524.13626.44529.21631.98635.679
10H2687.52783.02879.52977.33076.53197.63320.93489.1
(45.81)s8.44798.68828.90389.10029.28139.48219.66829.8978
 ν3.4183.8894.3564.8205.2845.8396.3947.134
50H2682.52780.12877.72976.03075.53196.83320.43488.7
(81.33)s7.69477.94018.15808.35568.53738.73858.92499.1546
 ν2.2702.5872.9003.2113.5203.8914.2624.755
75H2679.42778.22876.52975.23074.93196.43320.03488.4
(91.78)s7.50097.74967.96908.16738.34938.55088.73748.9672
 ν1.69581.93642.1722.4062.6392.9173.1953.565
100H2672.22776.42875.32974.33074.33195.93319.63488.1
(99.63)s7.36147.61347.83438.03338.21588.41758.60428.8342
 ν 1.28531.44431.60121.75701.94322.1292.376
150H 2772.62872.92972.73073.13195.03318.93487.6
(111.37)s 7.41937.64337.84388.07208.22938.41638.6466
 ν 0.47080.53420.59510.65480.72570.79600.8893
400H 2752.82860.52964.23066.83190.33315.33484.9
(143.63)s 6.92997.17067.37897.56627.77127.95988.1913
 ν  0.29990.33630.37140.41260.45330.5070
700H  2844.82953.63059.13184.73310.93481.7
(164.97)s  6.88657.10537.29797.50637.69687.9299
 ν  0.20600.23270.25790.28730.31620.3541
1000H  2827.92942.63051.23178.93306.53478.5
(179.91)s  6.69406.92477.12297.33497.52757.7622
 ν  0.132480.151950.169660.189880.20950.2352
1500H  2796.82923.33037.63.16923299.13473.1
(198.32)s  6.45466.70906.91797.13637.33237.5698
 ν   0.111440.125470.141130.156160.17568
2000H   2902.53023.53159.33291.63467.6
(212.42)s   6.54536.76646.99177.19157.4317
 ν   0.087000.098900.111860.124140.13998
2500H   2880.13008.83149.13284.03462.1
(223.99)s   6.40856.64386.87677.08037.3234
 νx   0.070580.081140.092330.102790.11619
3000H   2855.82993.53138.73276.33456.5
(233.90)s   6.28726.53906.78016.98787.2338
Source: Abridged from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables—Metric Units. New York: John Wiley & Sons, Inc., 1969. Reprinted by permission of John Wiley & Sons, Inc.

A.2-10. Properties of Superheated Steam (Steam Table), English Units (ν, specific volume, ft3/lbm; H, enthalpy, btu/lbm; s, entropy, btu/lbm · °F)
Absolute Pressure, kPa (Sat. Temp., °F) Temperature (°F)
 2003004005006007008009001000
 ν392.5452.3511.9571.5631.1690.7750.3809.9869.5
1.0H1150.11195.71241.81288.51336.11384.51433.71483.81534.8
(101.70)s2.05082.11502.17202.22352.27062.31422.35502.39322.4294
 ν78.1590.24102.24114.20126.15138.08150.01161.94173.86
5.0H1148.61194.81241.21288.21335.81384.31433.51483.71534.7
(162.21)s1.87151.93671.99412.04582.09302.13672.17752.21582.2520
 ν38.8544.9951.0357.0463.0369.0174.9880.9586.91
10.0H1146.61193.71240.51287.71335.51384.01433.31483.51534.6
(193.19)s1.79271.85921.91711.96902.01642.06012.10092.13932.1755
 ν 30.5234.6738.7742.8646.9351.0055.0759.13
14.696H 1192.61239.91287.31335.21383.81433.11483.41534.5
(211.99)s 1.81571.87411.92631.97372.01752.05842.09672.1330
 ν 22.3625.4328.4631.4734.7737.4640.4543.44
20.0H 1191.51239.21286.81334.81383.51432.91483.21534.3
(227.96)s 1.78051.83951.89191.93951.98342.02432.06272.0989
 ν 7.2608.3539.39910.42511.44012.44813.45214.454
60.0H 1181.91233.51283.01332.11381.41431.21481.81533.2
(292.73)s 1.64961.71341.76781.81651.86091.90221.94081.9773
 ν  4.9345.5876.2166.8347.4458.0538.657
100.0H  1227.51279.11329.31379.21429.61480.51532.1
(327.86)s  1.65171.70851.75821.80331.84491.88381.9204
 ν  3.2213.6794.1114.5314.9445.3535.759
150.0H  1219.51274.11325.71376.61427.51478.81530.7
(358.48)s  1.59971.65981.71101.75681.79891.83811.8750
 ν  2.3612.7243.0583.3793.6934.0034.310
200.0H  1210.81268.81322.11373.81425.31477.11529.3
(381.86)s  1.56001.62391.67671.72341.76601.80551.8425
 ν   2.1502.4262.6882.9433.1933.440
250.0H   1263.31318.31371.11423.21475.31527.9
(401.04)s   1.59481.64941.69701.74011.77991.8172
 ν   1.7662.0042.2272.4422.6532.860
300.0H   1257.51314.51368.31421.01473.61526.5
(417.43)s   1.57011.62661.67511.71871.75891.7964
 ν   1.28431.47601.65031.81631.97762.136
400H   1245.21306.61362.51416.61470.11523.6
(444.70)s   1.52821.58921.63971.68841.72521.7632
Source: Abridged from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables—Metric Units. New York: John Wiley & Sons, Inc., 1969. Reprinted by permission of John Wiley & Sons, Inc.

A.2-11. Heat-Transfer Properties of Liquid Water, SI Units
T (°C)T (K)ρ (kg/m3)cp (kJ/kg · K)μ ×103 (Pa · s, or kg/m · s)k (W/m · K)NPrβ × 104 (1/K)(gβρ22) × 108 (1/K · m3)
0273.2999.64.2291.7860.569413.3−0.630 
15.6288.8998.04.1871.1310.58848.071.4410.93
26.7299.9996.44.1830.8600.61095.892.3430.70
37.8311.0994.74.1830.6820.62834.513.2468.0
65.6338.8981.94.1870.4320.66292.725.04256.2
93.3366.5962.74.2290.30660.68021.916.66642
121.1394.3943.54.2710.23810.68361.498.461300
148.9422.1917.94.3120.19350.68361.2210.082231
204.4477.6858.64.5220.13840.66110.95014.045308
260.0533.2784.94.9820.10420.60400.85919.811 030
315.6588.8679.26.3220.08620.50711.0731.519 260

A.2-11. Heat-Transfer Properties of Liquid Water, English Units
T (°F)NPrβ × 104 (1/°R)(gβρ22) × 106 (1/°R · ft3)
3262.41.011.200.32913.3−0.350 
6062.31.000.7600.3408.070.80017.2
8062.20.9990.5780.3535.891.3048.3
10062.10.9990.4580.3634.511.80107
15061.31.000.2900.3832.722.80403
20060.11.010.2060.3931.913.701010
25058.91.020.1600.3951.494.702045
30057.31.030.1300.3951.225.603510
40053.61.080.09300.3820.9507.808350
50049.01.190.07000.3490.85911.017 350
60042.41.510.05790.2931.0717.530 300

A.2-12. Heat-Transfer Properties of Water Vapor (Steam) at 101.32 kPa (1 Atm Abs), SI Units
T (°C)T (K)ρ (kg/m3)cp (kJ/kg · K)μ × 105 (Pa · s, or kg/m · s)k (W/m · K)NPrβ × 103 (1/K)(gβρ22) (1/K · m3)
100.0373.20.5961.8881.2950.025100.962.680.557 × 108
148.9422.10.5251.9091.4880.029600.952.380.292 × 108
204.4477.60.4611.9341.6820.034620.942.090.154 × 108
260.0533.20.4131.9681.8830.039460.941.870.0883 × 108
315.6588.80.3731.9972.1130.044480.941.7052.1 × 105
371.1644.30.3412.0302.3140.049850.931.5533.1 × 105
426.7699.90.3142.0682.5290.055560.921.4321.6 × 105

A.2-12. Heat-Transfer Properties of Water Vapor (Steam) at 101.32 kPa (1 Atm Abs), English Units
T (°F)NPrβ × 103 (1/°R)(gβρ22) (1/°R · ft3)
2120.03720.4510.8700.01450.961.490.877 × 106
3000.03280.4561.0000.01710.951.320.459 × 106
4000.02880.4621.1300.02000.941.160.243 × 106
5000.02580.4701.2650.02280.941.040.139 × 106
6000.02330.4771.4200.02570.940.94382 × 103
7000.02130.4851.5550.02880.930.86252.1 × 103
8000.01960.4941.7000.03210.920.79434.0 × 103
Source: D. L. Timrot and N. B. Vargaftik, J. Tech. Phys. (U.S.S.R.), 10, 1063 (1940); R. H. Perry and C. H. Chilton. Chemical Engineers' Handbook, 5th ed. New York: McGraw-Hill Book Company, 1973; J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables. New York: John Wiley & Sons, Inc., 1969; National Research Council, International Critical Tables. New York: McGraw-Hill Book Company, 1929; L. S. Marks, Mechanical Engineers' Handbook, 5th ed. New York: McGraw-Hill Book Company, 1951.

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