1. PROP
PROP ERTY
ERTY TABLES
TABLES AND
AND
C H A R T S ( S I U N I T S )
C H A R T S ( S I U N I T S )
1
1
APPENDIX
APPENDIX
Table A–1
Table A–1 Molar
Molar mass,
mass, gas
gas constant,
constant, and
and critical-point
critical-point properties
properties 898
898
Table A–2
Table A–2 Ideal-gas
Ideal-gas specific
specific heats
heats of
of various
various common
common gases
gases 899
899
Table A–3
Table A–3 Properties
Properties of
of common
common liquids,
liquids, solids,
solids, and
and foods
foods 902
902
Table A–4
Table A–4 Saturated
Saturated water—T
water—Temperature
emperature table
table 904
904
Table A–5
Table A–5 Saturated
Saturated water—Pressure
water—Pressure table 906
table 906
Table A–6
Table A–6 Superheated
Superheated water
water 908
908
Table A–7
Table A–7 Compressed
Compressed liquid
liquid water 912
water 912
Table A–8
Table A–8 Saturated
Saturated ice–water
ice–water vapor 913
vapor 913
2.
3.
4. 898
898
PROPERTY TABLES AND CHARTS
PROPERTY TABLES AND CHARTS
TABLE A–1
TABLE A–1
Molar mass, gas constant, and critical
Molar mass, gas constant, and critical2
2point properties
point properties
Gas
Gas
Critical-point properties
Critical-point properties
Molar
Molar mass,
mass, constant,
constant, T
Temperature,
emperature, Pressure,
Pressure, Volume,
Volume,
Substance Formula
Substance Formula M
M kg/kmol
kg/kmol R
R kJ/kg·K*
kJ/kg·K* K
K MPa m
MPa m3
3
/kmol
/kmol
Air
Air —
— 28.97
28.97 0.2870
0.2870 132.5
132.5 3.77
3.77 0.0883
0.0883
Ammonia NH
Ammonia NH3
3 17.03 0.4882
17.03 0.4882 405.5
405.5 11.28
11.28 0.0724
0.0724
Argon
Argon Ar
Ar 39.948
39.948 0.2081
0.2081 151 4.86
151 4.86 0.0749
0.0749
Benzene C
Benzene C6
6H
H6
6 78.115
78.115 0.1064
0.1064 562
562 4.92
4.92 0.2603
0.2603
Bromine Br
Bromine Br2
2 159.808
159.808 0.0520
0.0520 584
584 10.34
10.34 0.1355
0.1355
n
n2
2Butane C
Butane C4
4H
H10
10 58.124
58.124 0.1430
0.1430 425.2
425.2 3.80
3.80 0.2547
0.2547
Carbon
Carbon dioxide
dioxide CO
CO2
2 44.01
44.01 0.1889
0.1889 304.2
304.2 7.39
7.39 0.0943
0.0943
Carbon
Carbon monoxide
monoxide CO
CO 28.011
28.011 0.2968
0.2968 133
133 3.50
3.50 0.0930
0.0930
Carbon
Carbon tetrachloride
tetrachloride CCl
CCl4
4 153.82
153.82 0.05405 556.4
0.05405 556.4 4.56
4.56 0.2759
0.2759
Chlorine Cl
Chlorine Cl2
2 70.906
70.906 0.1173
0.1173 417
417 7.71
7.71 0.1242
0.1242
Chloroform CHCl
Chloroform CHCl3
3 119.38
119.38 0.06964
0.06964 536.6
536.6 5.47
5.47 0.2403
0.2403
Dichlorodifluoromethane (R
Dichlorodifluoromethane (R2
212) CCl
12) CCl2
2F
F2
2 120.91
120.91 0.06876
0.06876 384.7
384.7 4.01
4.01 0.2179
0.2179
Dichlorofluoromethane (R
Dichlorofluoromethane (R2
221) CHCl
21) CHCl2
2F
F 102.92
102.92 0.08078
0.08078 451.7
451.7 5.17
5.17 0.1973
0.1973
Ethane C
Ethane C2
2H
H6
6 30.070
30.070 0.2765
0.2765 305.5
305.5 4.48
4.48 0.1480
0.1480
Ethyl
Ethyl alcohol
alcohol C
C2
2H
H5
5OH
OH 46.07 0.1805
46.07 0.1805 516
516 6.38
6.38 0.1673
0.1673
Ethylene C
Ethylene C2
2H
H4
4 28.054
28.054 0.2964
0.2964 282.4
282.4 5.12
5.12 0.1242
0.1242
Helium
Helium He 4.003
He 4.003 2.0769
2.0769 5.3
5.3 0.23
0.23 0.0578
0.0578
n
n2
2Hexane C
Hexane C6
6H
H14
14 86.179
86.179 0.09647
0.09647 507.9
507.9 3.03
3.03 0.3677
0.3677
Hydrogen
Hydrogen (normal)
(normal) H
H2
2 2.016
2.016 4.1240
4.1240 33.3
33.3 1.30
1.30 0.0649
0.0649
5.
6. 899
899
APPENDIX 1
APPENDIX 1
TABLE A–2
TABLE A–2
Ideal
Ideal2
2gas specific heats of various common gases
gas specific heats of various common gases
(
(a
a) At 300 K
) At 300 K
Gas
Gas constant,
constant, R
R c
cp
p c
cv
v
Gas
Gas Formula
Formula kJ/kg·K
kJ/kg·K kJ/kg·K
kJ/kg·K kJ/kg·K
kJ/kg·K k
k
Air
Air —
— 0.2870
0.2870 1.005
1.005 0.718
0.718 1.400
1.400
Argon
Argon Ar
Ar 0.2081
0.2081 0.5203
0.5203 0.3122
0.3122 1.667
1.667
Butane C
Butane C4
4H
H10
10 0.1433
0.1433 1.7164
1.7164 1.5734
1.5734 1.091
1.091
Carbon
Carbon dioxide
dioxide CO
CO2
2 0.1889
0.1889 0.846
0.846 0.657
0.657 1.289
1.289
Carbon
Carbon monoxide
monoxide CO
CO 0.2968
0.2968 1.040
1.040 0.744
0.744 1.400
1.400
Ethane C
Ethane C2
2H
H6
6 0.2765
0.2765 1.7662
1.7662 1.4897
1.4897 1.186
1.186
Ethylene C
Ethylene C2
2H
H4
4 0.2964
0.2964 1.5482
1.5482 1.2518
1.2518 1.237
1.237
Helium
Helium He
He 2.0769
2.0769 5.1926
5.1926 3.1156
3.1156 1.667
1.667
Hydrogen H
Hydrogen H2
2 4.1240
4.1240 14.307
14.307 10.183
10.183 1.405
1.405
Methane CH
Methane CH4
4 0.5182
0.5182 2.2537
2.2537 1.7354
1.7354 1.299
1.299
Neon
Neon Ne
Ne 0.4119
0.4119 1.0299
1.0299 0.6179
0.6179 1.667
1.667
Nitrogen N
Nitrogen N2
2 0.2968
0.2968 1.039
1.039 0.743
0.743 1.400
1.400
Octane C
Octane C8
8H
H18
18 0.0729
0.0729 1.7113
1.7113 1.6385
1.6385 1.044
1.044
Oxygen O
Oxygen O2
2 0.2598
0.2598 0.918
0.918 0.658
0.658 1.395
1.395
Propane C
Propane C3
3H
H8
8 0.1885
0.1885 1.6794
1.6794 1.4909
1.4909 1.126
1.126
Steam H
Steam H2
2O
O 0.4615
0.4615 1.8723
1.8723 1.4108
1.4108 1.327
1.327
Note:
Note: The unit kJ/kg·K is equivalent to kJ/kg·
The unit kJ/kg·K is equivalent to kJ/kg·8
8C.
C.
Source of Data:
Source of Data: B. G. Kyle,
B. G. Kyle, Chemical and Process Thermodynamics, 3rd ed
Chemical and Process Thermodynamics, 3rd ed. (Upper Saddle River, NJ: Prentice Hall, 2000).
. (Upper Saddle River, NJ: Prentice Hall, 2000).
36. 9
1
4
P
R
O
P
E
R
T
Y
T
A
B
L
E
S
A
N
D
C
H
A
R
T
S
0
100
200
300
400
500
600
700
800
900
1000
1100
1200 1200
1100
1000
800
700
600
500
400
300
200
100
0
10
9
8
7
6
5
4
Entropy, kJ/kg·K
3
2
1
0
10
9
8
7
6
5
4
3
2
1
0
900
T
e
m
p
e
r
a
t
u
r
e
,
°
C
D
en
sity
=
k
g
/m
D
en
sity
=
0
.0
1
k
g
/m
2800
h = 2600 kJ/kg
2650
2550
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
P
=
3
0
0
0
0
b
a
r
D
en
sity
=
k
g
/m
3
5
5
0
0
5
00
0
3
0
0
k
g
/m
3
1
0
0
k
g
/m
3
3
0
k
g
/m
3
1
0
k
g
/m
3
3
k
g
/m
3
1
k
g
/m
3
0
.3
k
g
/m
3
0
.1
k
g
/m
3
0
.0
3
k
g
/m
3
D
en
sity
=
0
.0
1
k
g
/m
3
2
0
0
0
0
1
5
0
0
0
1
0
0
0
0
8
0
0
0 6
0
0
0
5
0
0
0
1500
10
0
0
800
600
500
400
350
300
250
200
150
100
80
60
40
80%
70%
6
0
%
5
0
%
4
0
%
30%
20%
30
20
15
10
8 6 4 3 2 1.5
1.0
0
.8
0
.6
0.4
0
.3
0
.2
0
.1
5
0
.1
0
.0
8
0
.0
6
0
.0
4
0.03
0.02
0
.0
15
0.00
8
0.006
0.004
0
.0
0
3
0.002
2
0
0
0
3
0
0
0
4
0
0
0
0
0
6
0
0
2
h
=
4
0
0
k
J
/
k
g
0
0
8
1
0
0
0
1
2
0
0
1
4
0
0
1
6
0
0
1
8
00
2000
2200
2400
h
= 2600 kJ/kg
Quality = 10%
Saturated liquid
4500
4000
3800
3600
3400
Saturated
vapor
3200
2800
2600
2400
2000
1800
1600
1400
1200
1000
h =
2200 kJ/kg
3000
h = 4200 kJ/kg
FIGURE A–9
T-s diagram for water.
Source of Data: From NBS/NRC Steam Tables/1by Lester Haar, John S. Gallagher, and George S. Kell. Routledge/Taylor & Francis Books, Inc., 1984.
48. 9
2
1
A
P
P
E
N
D
I
X
1
2
0
1
0
4
1
0
.
1
0
.
0
4
0
.
0
2
0
.
0
1
1
0
0
1
5
0
2
0
0
2
5
0
3
0
0
3
5
0
4
0
0
E
n
t
h
a
l
p
y
,
k
J
/
k
g
Pressure, MPa
4
5
0
5
0
0
5
5
0
6
0
0
6
5
0
7
0
0
7
5
0
1
0
0
1
5
0
2
0
0
2
5
0
3
0
0
3
5
0
4
0
0
4
5
0
5
0
0
5
5
0
6
0
0
6
5
0
7
0
0
7
5
0
0
.
2
0
.
4 2
2
0
1
0
4
1
0
.
1
0
.
0
4
0
.
0
2
0
.
0
1
0
.
2
saturated vapor
R
1500
0.64
0.6
0.7
0.8
0.9
–40
–20
0
20
40
60
80
100
120
140
T = 160∞C
180
200
2.48
2.64
2.72
s
=
2.56
220
240
260
280
300
saturated liquids
–
6
0
0.1
0.2
0.3
0.4
D
e
n
sity
h
=
2
0
0
k
g
/m
-
1
3
4
a
T
=
0
°
C
2
0
–
2
0
–
4
0
4
0
6
0
8
0
1
0
0
saturated vapor
X = 0.5
0.72
0.80
0.88
saturated liquids
0.96
1.04
1.12
1.20
1.28
1.36
1.44
1.52
1.60
1.68
1.76
1.84
1.92
2.00
2.08
2.24
2.32
2.40
2.48
s
= 2.16 kJ/kg·K
1450
1400
1350
1300
1250
1200 kg/m3
1150
1100
1050
1000
950
900
850
800
7
0
0
6
0
0
5
0
0
4
0
0
3
0
0
1
6
0
1
2
0
9
0
7
0
6
0
5
0
4
0
3
2
2
4
1
6
1
2
8
6
D
e
n
sity
=
2
0
0
k
g
/m
3
4
3
.
2
2
.
4
1
.
6
1
.
2
0
.
8
0
.
6
0
.
4
0
.
3
0
.
4
2
F
I
G
U
R
E
A
–
1
4
P
-
h
d
i
a
g
r
a
m
f
o
r
r
e
f
r
i
g
e
r
a
n
t
-
1
3
4
a
.
N
o
t
e
:
T
h
e
r
e
f
e
r
e
n
c
e
p
o
i
n
t
u
s
e
d
f
o
r
t
h
e
c
h
a
r
t
i
s
d
i
f
f
e
r
e
n
t
t
h
a
n
t
h
a
t
u
s
e
d
i
n
t
h
e
R
-
1
3
4
a
t
a
b
l
e
s
.
T
h
e
r
e
f
o
r
e
,
p
r
o
b
l
e
m
s
s
h
o
u
l
d
b
e
s
o
l
v
e
d
u
s
i
n
g
a
l
l
p
r
o
p
e
r
t
y
d
a
t
a
e
i
t
h
e
r
f
r
o
m
t
h
e
t
a
b
l
e
s
o
r
f
r
o
m
t
h
e
c
h
a
r
t
,
b
u
t
n
o
t
f
r
o
m
b
o
t
h
.
S
o
u
r
c
e
o
f
D
a
t
a
:
A
m
e
r
i
c
a
n
S
o
c
i
e
t
y
o
f
H
e
a
t
i
n
g
,
R
e
f
r
i
g
e
r
a
t
i
n
g
,
a
n
d
A
i
r
-
C
o
n
d
i
t
i
o
n
i
n
g
E
n
g
i
n
e
e
r
s
,
I
n
c
.
,
A
t
l
a
n
t
a
,
G
A
.
49. 922
PROPERTY TABLES AND CHARTS
1.00
REDUCED PRESSURE, PR
P
v
—
–
R
T
C
O
M
P
R
E
S
S
I
B
I
L
I
T
Y
F
A
C
T
O
R
,
Z
=
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
(a) Low pressures, 0 < P
R
< 1.0
1.05
1.00
0.95
0.90
0.85
0.80
0.75
0.00 0.05 0.10
0.90
0.95
Z
PR
.
0
.6
5
0
.6
0
T
R =
1
.0
1.05
1.10
1.15
1.20
1.30
1.40
1.60
2.00
3.00
0.95
0.90
0.85
0.80
0
.7
5
.0
7
0
T
R
= 5.00
8.
2.00
1.60
1.40
1.20
1.10
1.80
1.60
1.50
1.40
1.30
1.20
1.10
1.00
0.90
0.80
v R
= 0.7
2.00
2.20
2.40
2.60
3.00
3.50
4.00
5.00
6.00
00
5
.
6
0
.7
0
0
.6
5
0
.
6
0
30
20
15
12 10
v
R
NELSON — OBERT
GENERALIZED
COMPRESSIBILITY CHARTS
CHART
No.
1
PSEUDO REDUCED VOLUME,
P
—–
Pcr
REDUCED PRESSURE, P
R
=
T
R
= 2.5 Z ≈1.00
T
R
= 15 ≈ TR
= 3.00
REDUCED TEMPERATURE,
T
—–
Tcr
T
R
=
v
––—–––
RTcr / Pcr
v
R
=
1953
NOTE
---DEVIATION > 1.0%
89. 942
PROPERTY TABLES AND CHARTS
4.0
5.0
6.0
7.0
8.0
9.0
10.0
s
i
d
e
a
l
–
s
—
—
—
—
–
R
u
y
d
e
p
a
r
t
u
r
e
Z
s
=
=
s
i
d
e
a
l
–
s
—
—
—
—
–
R
E
n
t
r
o
p
y
d
e
p
a
r
t
u
r
e
s
i
d
e
a
l
–
s
—
—
—
—
–
R
u
=
s
i
d
e
a
l
–
s
—
—
—
—
–
R
0.50
S
atu
rated
g
as
0.50
0.55
0.60
0.65
0.70
0.75
0.75
0.80
0.80
0.85
0.85
0.90
0.90
0.92
0.94
S
atu
rated
liq
u
id
TR
PR
T R
1.60
2.00
Satu
rated v
apou
r
0.80
T R
= 0.90
1.00
1.10
1.20
1.40
1.60
2.00
0 0.05 0.10 0.15 0.20 0.25 0.30
0.000
0.100
0.200
0.300
0.400
0.500
Satu
rated v
apor
Z
s
=
96. 946
946
PROPERTY TABLES AND CHARTS
PROPERTY TABLES AND CHARTS
TABLE A–34
TABLE A–34
Rayleigh flow functions for an ideal gas with
Rayleigh flow functions for an ideal gas with k
k 5
5 1.4
1.4
Ma
Ma T
T0
0/
/T
T0
0
*
* P
P0
0/
/P
P0
0
*
* T
T/
/T
T*
* P
P/
/P
P*
* V
V/
/V
V*
*
0.0
0.0 0.0000
0.0000 1.2679
1.2679 0.0000
0.0000 2.4000
2.4000 0.0000
0.0000
0.1
0.1 0.0468
0.0468 1.2591
1.2591 0.0560
0.0560 2.3669
2.3669 0.0237
0.0237
0.2
0.2 0.1736
0.1736 1.2346
1.2346 0.2066
0.2066 2.2727
2.2727 0.0909
0.0909
0.3
0.3 0.3469
0.3469 1.1985
1.1985 0.4089
0.4089 2.1314
2.1314 0.1918
0.1918
0.4
0.4 0.5290
0.5290 1.1566
1.1566 0.6151
0.6151 1.9608
1.9608 0.3137
0.3137
0.5
0.5 0.6914
0.6914 1.1141
1.1141 0.7901
0.7901 1.7778
1.7778 0.4444
0.4444
0.6
0.6 0.8189
0.8189 1.0753
1.0753 0.9167
0.9167 1.5957
1.5957 0.5745
0.5745
0.7
0.7 0.9085
0.9085 1.0431
1.0431 0.9929
0.9929 1.4235
1.4235 0.6975
0.6975
0.8
0.8 0.9639
0.9639 1.0193
1.0193 1.0255
1.0255 1.2658
1.2658 0.8101
0.8101
0.9
0.9 0.9921
0.9921 1.0049
1.0049 1.0245
1.0245 1.1246
1.1246 0.9110
0.9110
1.0
1.0 1.0000
1.0000 1.0000
1.0000 1.0000
1.0000 1.0000
1.0000 1.0000
1.0000
1.2
1.2 0.9787
0.9787 1.0194
1.0194 0.9118
0.9118 0.7958
0.7958 1.1459
1.1459
1.4
1.4 0.9343
0.9343 1.0777
1.0777 0.8054
0.8054 0.6410
0.6410 1.2564
1.2564
1.6
1.6 0.8842
0.8842 1.1756
1.1756 0.7017
0.7017 0.5236
0.5236 1.3403
1.3403
1.8
1.8 0.8363
0.8363 1.3159
1.3159 0.6089
0.6089 0.4335
0.4335 1.4046
1.4046
2.0
2.0 0.7934
0.7934 1.5031
1.5031 0.5289
0.5289 0.3636
0.3636 1.4545
1.4545
2.2
2.2 0.7561
0.7561 1.7434
1.7434 0.4611
0.4611 0.3086
0.3086 1.4938
1.4938
2.4
2.4 0.7242
0.7242 2.0451
2.0451 0.4038
0.4038 0.2648
0.2648 1.5252
1.5252
2.6
2.6 0.6970
0.6970 2.4177
2.4177 0.3556
0.3556 0.2294
0.2294 1.5505
1.5505
2.8
2.8 0.6738
0.6738 2.8731
2.8731 0.3149
0.3149 0.2004
0.2004 1.5711
1.5711
3.0
3.0 0.6540
0.6540 3.4245
3.4245 0.2803
0.2803 0.1765
0.1765 1.5882
1.5882
T
T0
0
T
T 0
0
*
*
5
5
(
(k
k 1
1 1)Ma
1)Ma2
2
[2
[2 1
1 (
(k
k 2
2 1)Ma
1)Ma2
2
]
]
(1
(1 1
1 k
kMa
Ma2
2
)
)2
2
P
P0
0
P
P0
0
*
*
5
5
k
k 1
1 1
1
1
1 1
1 k
kMa
Ma2
2
aa2
2 1
1 (
(k
k 2
2 1)Ma
1)Ma2
2
k
k 1
1 1
1
bbk
k/(
/(k
k2
21)
1)
T
T
T
T*
*
5
5 aaMa(1
Ma(1 1
1 k
k)
)
1
1 1
1 k
kMa
Ma2
2
bb2
2
P
P
P
P*
*
5
5
1
1 1
1 k
k
1
1 1
1 k
kMa
Ma2
2
V
V
V
V*
*
5
5
r
r*
*
r
r
5
5
(1
(1 1
1 k
k)Ma
)Ma2
2
1
1 1
1 k
kMa
Ma2
2
97.
98. PROP
PROP ERTY T
ERTY T ABLE
ABLE S AND
S AND
C H A R T S ( E N G L I S H U N I T S )
C H A R T S ( E N G L I S H U N I T S )
Table A–1E
Table A–1E Molar
Molar mass,
mass, gas
gas constant,
constant, and
and critical-point
critical-point properties
properties 948
948
Table A–2E
Table A–2E Ideal-gas
Ideal-gas specific
specific heats
heats of
of various
various common
common gases
gases 949
949
Table A–3E
Table A–3E Properties
Properties of
of common
common liquids,
liquids, solids,
solids, and
and foods
foods 952
952
Table A–4E
Table A–4E Saturated
Saturated water—Temperature
water—Temperature table
table 954
954
Table A–5E
Table A–5E Saturated
Saturated water—P
water—Pressure
ressure table
table 956
956
Table A–6E
Table A–6E Superheated
Superheated water
water 958
958
Table A–7E
Table A–7E Compressed
Compressed liquid
liquid water
water 962
962
Table A–8E
Table A–8E Saturated
Saturated ice–water
ice–water vapor
vapor 963
963
APPENDIX
APPENDIX
2
2