Moran M.J., Shapiro H.N. Fundamentals of Engineering Thermodynamics
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Tables in English Units 983
Table A-24E
TABLE A-24E
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 atm, specific volume in ft
3
/lbmol, and temperature in 8R
van der Waals Redlich–Kwong
a b a b
Substance
atm
ft
3
Q
lbmol
R
2
ft
3
lbmol
atm
ft
3
Q
lbmol
R
2
(8R)
1/2
ft
3
lbmol
Air 345 0.586 5,409 0.4064
Butane (C
4
H
10
) 3,509 1.862 98,349 1.2903
Carbon dioxide (CO
2
) 926 0.686 21,972 0.4755
Carbon monoxide (CO) 372 0.632 5,832 0.4382
Methane (CH
4
) 581 0.685 10,919 0.4751
Nitrogen (N
2
) 346 0.618 5,280 0.4286
Oxygen (O
2
) 349 0.509 5,896 0.3531
Propane (C
3
H
8
) 2,369 1.444 61,952 1.0006
Refrigerant 12 2,660 1.558 70,951 1.0796
Sulfur dioxide (SO
2
) 1,738 0.910 49,032 0.6309
Water (H
2
O) 1,400 0.488 48,418 0.3380
Source: Calculated from critical data.
2. Benedict–Webb–Rubin: Constants for pressure in atm, specific volume in ft
3
/lbmol, and temperature in 8R
Substance a A b B c C a g
C
4
H
10
7736.7 2587.6 10.26 1.9921 4.214 3 10
9
8.254 3 10
8
4.527 8.724
CO
2
562.3 702.4 1.850 0.7995 1.987 3 10
8
1.152 3 10
8
0.348 1.384
CO 150.6 344.1 0.675 0.8737 1.385 3 10
7
7.118 3 10
6
0.555 1.540
CH
4
203.0 476.0 0.867 0.6824 3.389 3 10
7
1.876 3 10
7
0.511 1.540
N
2
103.2 270.4 0.597 0.6526 9.700 3 10
6
6.700 3 10
6
0.523 1.360
Source: H. W. Cooper and J. C. Goldfrank, Hydrocarbon Processing, 46 (12): 141 (1967).
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984 Tables in English Units
TABLE A-25E
Thermochemical Properties of Selected Substances at 5378R and 1 atm
Heating Values
Enthalpy of Gibbs Function Absolute Higher, Lower,
Molar Mass, Formation,
_
h8
f
of Formation, Entropy,
_
s8 HHV LHV
Substance Formula M (lb/lbmol) (Btu/lbmol)
_
g8
f
(Btu/lbmol) (Btu/lbmol ? 8R) (Btu/lb) (Btu/lb)
Carbon C(s) 12.01 0 0 1.36 14,100 14,100
Hydrogen H
2
(g) 2.016 0 0 31.19 61,000 51,610
Nitrogen N
2
(g) 28.01 0 0 45.74 — —
Oxygen O
2
(g) 32.00 0 0 48.98 — —
Carbon monoxide CO(g) 28.01 ⫺47,540 ⫺59,010 47.27 — —
Carbon dioxide CO
2
(g) 44.01 ⫺169,300 ⫺169,680 51.03 — —
Water H
2
O(g) 18.02 ⫺104,040 ⫺98,350 45.08 — —
Water H
2
O(l) 18.02 ⫺122,970 ⫺102,040 16.71 — —
Hydrogen peroxide H
2
O
2
(g) 34.02 ⫺58,640 ⫺45,430 55.60 — —
Ammonia NH
3
(g) 17.03 ⫺19,750 ⫺7,140 45.97 — —
Oxygen O(g) 16.00 107,210 99,710 38.47 — —
Hydrogen H(g) 1.008 93,780 87,460 27.39 — —
Nitrogen N(g) 14.01 203,340 195,970 36.61 — —
Hydroxyl OH(g) 17.01 16,790 14,750 43.92 — —
Methane CH
4
(g) 16.04 ⫺32,210 ⫺21,860 44.49 23,880 21,520
Acetylene C
2
H
2
(g) 26.04 97,540 87,990 48.00 21,470 20,740
Ethylene C
2
H
4
(g) 28.05 22,490 29,306 52.54 21,640 20,290
Ethane C
2
H
6
(g) 30.07 ⫺36,420 ⫺14,150 54.85 22,320 20,430
Propylene C
3
H
6
(g) 42.08 8,790 26,980 63.80 21,050 19,700
Propane C
3
H
8
(g) 44.09 ⫺44,680 ⫺10,105 64.51 21,660 19,950
Butane C
4
H
10
(g) 58.12 ⫺54,270 ⫺6,760 74.11 21,300 19,670
Pentane C
5
H
12
(g) 72.15 ⫺62,960 ⫺3,530 83.21 21,090 19,510
Octane C
8
H
18
(g) 114.22 ⫺89,680 7,110 111.55 20,760 19,270
Octane C
8
H
18
(l) 114.22 ⫺107,530 2,840 86.23 20,610 19,110
Benzene C
6
H
6
(g) 78.11 35,680 55,780 64.34 18,180 17,460
Methanol CH
3
OH(g) 32.04 ⫺86,540 ⫺69,700 57.29 10,260 9,080
Methanol CH
3
OH(l) 32.04 ⫺102,670 ⫺71,570 30.30 9,760 8,570
Ethanol C
2
H
5
OH(g) 46.07 ⫺101,230 ⫺72,520 67.54 13,160 11,930
Ethanol C
2
H
5
OH(l) 46.07 ⫺119,470 ⫺75,240 38.40 12,760 11,530
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.
Table A-25E
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985
Figure A-1 Generalized compressibility chart, p
R
# 1.0 985
Figure A-2 Generalized compressibility chart, p
R
# 10.0 986
Figure A-3 Generalized compressibility chart, 10 # p
R
# 40 986
Figure A-4 Generalized enthalpy correction chart 987
Figure A-5 Generalized entropy correction chart 988
Figure A-6 Generalized fugacity coefficient chart 989
Figure A-7 Temperature–entropy diagram for water (SI units) 990
Figure A-7E Temperature–entropy diagram for water (English units) 991
Figure A-8 Enthalpy–entropy diagram for water (SI units) 992
Figure A-8E Enthalpy–entropy diagram for water (English units) 993
Figure A-9 Psychrometric chart for 1 atm (SI units) 994
Figure A-9E Psychrometric chart for 1 atm (English units) 995
Index to Figures and Charts
Figure A-1 Generalized compressibility chart, p
R
# 1.0. Source: E. F. Obert, Concepts of Thermodynamics, McGraw-Hill, New
York, 1960.
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986 Figures and Charts
Figure A-2 Generalized compressibility chart, p
R
# 10.0. Source: E. F. Obert, Concepts of
Thermodynamics, McGraw-Hill, New York, 1960.
Figure A-3 Generalized compressibility chart, 10 # p
R
# 40. Source: E. F. Obert. Concepts of
Thermodynamics, McGraw-Hill, New York, 1960.
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Figures and Charts 987
Figure A-4
Generalized enthalpy correction chart. Source: Adapted from G. J. Van Wylen
and R. E. Sonntag, Fundamentals of Classical Thermodynamics, 3rd. ed., English/SI, Wiley,
New York, 1986.
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988 Figures and Charts
Figure A-5 Generalized entropy correction chart. Source: Adapted from G. J. Van
Wylen and R. E. Sonntag, Fundamentals of Classical Thermodynamics, 3rd. ed.,
English/SI, Wiley, New York, 1986.
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Figures and Charts 989
Figure A-6
Generalized fugacity coefficient chart. Source: G. J. Van Wylen and R. E. Sonntag,
Fundamentals of Classical Thermodynamics, 3rd. ed., English/SI, Wiley, New York, 1986.
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990 Figures and Charts
Figure A-7
Temperature–entropy diagram for water (SI units). Source: J. H. Keenan, F. G. Keyes,
P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1978.
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Figures and Charts 991
Figure A-7E
Temperature–entropy diagram for water (English units). Source: J. H. Keenan,
F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1969.
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992 Figures and Charts
Figure A-8
Enthalpy–entropy diagram for water (SI units). Source: J. B. Jones and G. A.
Hawkins, Engineering Thermodynamics, 2nd ed., Wiley, New York, 1986.
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