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the prior written consent of McGraw-Hill Education.
=
−
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
   G
V

RT  P  RT


 T

   G 
  

RT
 T  RT   P
H
2
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the prior written consent of McGraw-Hill Education.

H
RT 2

 T 
RT 2
H   T   T
S
1 d  T 
RT dT
d  T 

dT

d  T 
1
  T   RT ln P 
  T   T
T
dT

S 
d  T 
dT
 R ln P
U   T   T
U   T   T
Cp 
dT
d  T 
dT
 RT 
 P

 P 
 RT
d  T   d  T 
d 2  T  d  T 
d 
T

  T   T
 
dT 
dT 
dT
dT
dT 2
C p  T
Cv 
d  T 
d 2  T 
dT 2
 d  T 
d  T 
d 2  T  d  T 
d 

T

T

RT


T

R




dT 
dT
dT
dT
dT 2

Cv  T
d 2  T 
dT 2
 R  Cp  R
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the prior written consent of McGraw-Hill Education.

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the prior written consent of McGraw-Hill Education.
 dS 

   V
 dP T
 dH 

  1   T V
 dP T

S   V P
H  1   T V P




S  2.095  103 K -1  1.551 103 m3 kg -1  819000 Pa = -2.66 Pa m3 kg-1 K -1 = -2.66 J kg-1 K -1


H  1  2.095  103 K -1  270 K  1.551 103 m3 kg -1  819000 Pa=552 J kg-1

dH  C p dT  1   T VdP
dT  
V 1   T 
Cp
dP

T  
V 1   T 
Cp
P
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the prior written consent of McGraw-Hill Education.

1T
V sat  Vc Zc r 
2
7
 T 
1 
T
 Vc Zc c 
2
7
2



1 V   ln V 
 
T  7



ln Vc  1   ln Z c 

V T
T
T 
 Tc 


2ln Z c 
T 
 
1  
7Tc  Tc 
V
5
7
 360 
1

 262.7 *0.282 408.1 
 
2
7
 132 cm3 mol-1  0.000132 m3 mol-1
2ln 0.282 
360 
1

7 * 408.1  408.1 
T  
5
7
 0.00408 K -1
0.000132 m3 mol-1 1  0.00408*360 
2.78 J g -1 K -1 *58.123 g mol-1

 2000000 Pa   0.766 K

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the prior written consent of McGraw-Hill Education.

 dS 

   V
 dP T
 dH 

  1   T V
 dP T

1  V 
   
V  P T
1
dV   dP
V
V 
ln      P  P1 
 V1 
V  V1 exp    P  P1  


V2  1003 cm3 kg-1 exp 45 106 bar -1 1499 bar  937.6 cm3 kg-1  9.376  104 m3 kg-1

P2

W  Vave PdP 
Vave 2
P2  P12
2


P1
S  Vave P
H  1   T Vave P
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the prior written consent of McGraw-Hill Education.









 1  bar
V2  1003 cm3 kg-1 exp 45  106 bar -1  1499 bar  937.5741 cm3 kg-1  9.375741  104 m3 kg-1

W  45 106 bar 1 *970.3 cm3 kg-1 / 2* 15002
2
2
 49120 bar cm3 kg-1  4.91 kJ kg 1
S  250 106 K-1 *970.3 cm3 kg 1 *1499 bar  363.6 bar cm3 kg1 K1  36.4 J kg1 K1


H  1  250 106 K-1 *298.15 K *970.3 cm3 kg 1 *1499 bar  1.346 106 bar cm3 kg 1  134.6 kJ kg 1












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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
P
RT
a
RT
a
 RT
 2 


 2a
1
1
V b V
1  b
b
2


Z
P
1
a


 RT 1  b  RT
GR

RT

d
  Z  1 
 Z  1  ln Z
0

 1
GR
a  d 
 

 1
 Z  1  ln Z
RT
 1  b  RT
 

0


GR
1
a
1
 

  d   Z  1  ln Z
 1  b    RT  
RT


0


 1  1  b
GR
a 
 

d   Z  1  ln Z
 1  b    RT 
RT


0


 b
GR
a 
 

 d   Z  1  ln Z
RT
 1  b  RT 

0
G
a
  ln 1  b   
 Z  1  ln Z
RT
RT
R

p
ZRT
GR
bP 
aP

  ln 1 
  2 2  Z  1  ln Z
RT
 ZRT  ZR T
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the prior written consent of McGraw-Hill Education.

bP
a
aP
, and q 

RT
bRT  R 2T 2
GR
   q
  ln 1   
 Z  1  ln Z
RT
 Z Z
GR
Z 
  ln 
RT
 Z
 q
  Z  Z  1  ln Z

q
GR
 ln Z  ln  Z    
 Z  1  ln Z
RT
Z
q
GR
 Z  1  ln  Z    
RT
Z

HR
 Z  d 
 Z 1 T 

RT
 T   

0
a
 Z 

 
 T   RT 2
HR
 Z 1 T
RT

a d 
a
aP
 Z 1
 Z 1
2 
RT
ZR 2T
 RT
0
q
H
 Z 1
RT
Z
R
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S R H R GR


R
RT RT
q 
q 
SR
 Z 1
  Z  1  ln  Z    
R
Z 
Z 
SR
 ln  Z   
R
⁡
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the prior written consent of McGraw-Hill Education.
⁡
⋅
⋅
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
θ≡
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
T 1 (K)
382.02
T 2 (K)
810.93
C (1/K )
D (K )
B (1/K)
ICPH (K) H (J/mol)
1.45E-03 0.00E+00 1.21E+04 1876.0
15597.3
2
A
3.47
T2

2

C (1/K )
D (K )
B (1/K)
1.45E-03 0.00E+00 1.21E+04
ICPS
3.266
S (J/(mol K))
27.15

MW (g/mol)
18.02

B 2
T2 T12
2


C 3
T2 T13
3
T1
T 1 (K)
382.02
T 2 (K)
810.93
A
3.47
2
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

T1
MW (g/mol)
18.02
1
D 
T2
Cp
ICPH º
dT A T2 T1 
R
B T2 T1 

C 2
T2 T12
2
2


D 2
T2
T1
2
2
1
T1
H (J/g)
865.6
H (Btu/lbm)
372.1
S (J/(g K))
1.507
S (Btu/(lbm R))
0.3599
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.

Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.

Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
−
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.


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the prior written consent of McGraw-Hill Education.
T2
ICPH T0,T;A,B,C,D  º
R
Cp
dT  A T  T0  
T1
T0(K)
723.15
T (K)
413.15
A
3.47
T
ICPS  T0,T;A,B,C,D º

T0
T0 (K)
723.15
T (K)
413.15
A
3.47
B (1/K)
1.45E-03
1 1 
B 2
C 3
T  T02 
T  T03  D   
2
3
 T T0 

C (1/K2)
0



ig
D (K2)
ICPH (K) H (J/mol)
1.21E+04 -1343.6
-11171.7

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
B (1/K)
1.45E-03
C (1/K2)
0
D (K2)
1.21E+04
ICPS
-2.416
Sig (J/(mol K))
-20.0858

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the prior written consent of McGraw-Hill Education.
T (K)
723.15
Tr
1.1175
P (bar)
30
Pr
0.1360
0.422
B 0.083
0
Tr1.6
0.172
B1 0.139
Tr4.2
Tc (K)
647.1
0
B
-0.2703
Pc (bar)
220.55
1
B
0.0311
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.345
dB0
dTr
dB1
dTr
0.5056
0.4051

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-717.78
HR /RTc
-0.1334

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T (K)
723.15
Tr
1.1175
P (bar)
30
Pr
0.1360
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
Tc (K)
647.1
dB0
dTr
0.5056
Pc (bar)
220.55
dB1
dTr
0.4051

0.345
SR /R
-0.0878
dB 0
SR
Pr 
dT
R
 r

SR (J mol -1 K-1)
-0.73
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
413.15
Tr
0.6385
P (bar)
2.35
Pr
0.0107
0.422
B 0.083
0
B1 0.139
Tr1.6
0.172
Tr4.2
Tc (K)
647.1
0
B
-0.7822
Pc (bar)
220.55
1
B
-0.9933
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.345
dB0
dTr
dB1
dTr
2.1675
7.4444

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-237.82
HR /RTc
-0.0442

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
dB0
dTr
dB1
dTr
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
dB 0
SR
Pr 
dT
R
 r

dB1
dTr
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
T (°C)
127.41
127.54
127.67
127.80
127.94
128.07
128.19
128.32
128.45
128.58
128.71
128.84
128.96
129.09
129.22
129.34
129.47
129.59
129.72
129.84
129.97
P (MPa) H l
0.250
0.251
0.252
0.253
0.254
0.255
0.256
0.257
0.258
0.259
0.260
0.261
0.262
0.263
0.264
0.265
0.266
0.267
0.268
0.269
0.270
(kJ/kg) S l (kJ/(kg K)) H v (kJ/kg) S v (kJ/(kg K)) H
535.34
1.6072
2716.5
7.0524
535.91
1.6086
2716.7
7.0511
536.46
1.6100
2716.9
7.0498
537.02
1.6114
2717.0
7.0485
537.58
1.6128
2717.2
7.0472
538.13
1.6142
2717.4
7.0458
538.68
1.6155
2717.6
7.0445
539.23
1.6169
2717.8
7.0432
539.78
1.6183
2717.9
7.0419
540.33
1.6196
2718.1
7.0407
540.87
1.6210
2718.3
7.0394
541.42
1.6223
2718.5
7.0381
541.96
1.6237
2718.6
7.0368
542.50
1.6250
2718.8
7.0355
543.04
1.6264
2719.0
7.0343
543.57
1.6277
2719.2
7.0330
544.11
1.6290
2719.3
7.0318
544.64
1.6303
2719.5
7.0305
545.18
1.6317
2719.7
7.0293
545.71
1.6330
2719.9
7.0280
546.24
1.6343
2720.0
7.0268
(kJ/kg) S (kJ/(kg K))
2607.4
2607.7
2607.9
2608.0
2608.2
2608.4
2608.7
2608.9
2609.0
2609.2
2609.4
2609.6
2609.8
2610.0
2610.2
2610.4
2610.5
2610.8
2611.0
2611.2
2611.3
6.7801
6.7790
6.7778
6.7766
6.7755
6.7742
6.7731
6.7719
6.7707
6.7696
6.7685
6.7673
6.7661
6.7650
6.7639
6.7627
6.7617
6.7605
6.7594
6.7583
6.7572
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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⋅
⋅




Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.















H  T V

dP sat
-1
 818.1* 2.996 *1.888  4628 ft 3psia lb-1
m  856.5 Btu lb m
dT



Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
468.15
P (bar)
135
Tc (K)
369.8
Pc (bar)
42.48
Tr
1.20
1.20
1.30
1.30
Pr
3.00
5.00
3.00
5.00

0.152
Tr
1.2660
Pr
3.1780
Z1
0.1095
-0.0141
0.2079
0.0875
(HR )0/(RTc)
-2.801
-3.166
-2.274
-2.825
Table Points
Tr (1)
Tr(1)
Tr(2)
Tr(2)
Pr(1)
Pr(2)
Pr(1)
Pr(2)
Z0
0.5425
0.7069
0.6344
0.7358
Interpolated Values
Final Values
Z
0.6389
3
V (cm /mol)
184.2
T2
ICPH T0,T;A,B,C,D  º
R
Cp
T (K)
468.15
A
1.213
T
ICPS  T0,T;A,B,C,D º

T0
HR /(RTc)
0.1636
-2.4968
-2.58623
R
H (J/mol)
dT  A T  T0  
T1
T0(K)
308.15
0.6140
(HR )1/(RTc)
-0.934
-1.84
-0.3
-1.066
-7951.4
(SR )0/R
-1.727
-1.827
-1.299
-1.554
-0.5883
-1.4627
SR /R
-1.55056
SR (J/(mol K))
-12.8914
(SR )1/R
-0.991
-1.767
-0.29
-0.73
-0.5780
1 1 
B 2
C 3
T  T02 
T  T03  D   
2
3
 T T0 




ig
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
2.88E-02 -8.82E-06 0.00E+00 1766.0
14683.6

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
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the prior written consent of McGraw-Hill Education.
H   H R  400 K,38 bar   
Tf
400 K
H   H R  400 K,38 bar   
C igp dT  H R T f ,1 bar 
Tf
400 K

Tf
400 K
C igp dT  0
C igp dT  H R  400 K,38 bar 
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
400.15
P (bar)
38
Tc (K)
365.6
Pc (bar)
46.65

Tr
1.05
1.05
1.10
1.10
Pr
0.80
1.00
0.80
1.00
Z0
0.7130
0.6026
0.7649
0.6880
0.14
Tr
1.0945
Pr
0.8146
Z1
-0.0032
0.0220
0.0236
0.0476
(H ) /(RT c)
-0.995
-1.359
-0.827
-1.120
Table Points
Tr (1)
Tr(1)
Tr(2)
Tr(2)
Pr(1)
Pr(2)
Pr(1)
Pr(2)
Interpolated Values
Final Values
Z
3
V (cm /mol)
T 1 (K)
400
T 2 (K)
362.9176
T2

HR/(RT c)
R
H (J/mol)
0.7565
662.4
A
1.637
Cp
ICPH º
dT A T2 T1 
R
0.7533
0.0224
S  S
R 1
(H ) /(RT c)
-0.691
-0.877
-0.507
-0.617
-0.8674
-0.5359
SR/R
-0.94242
-2864.57
R
S (J/(mol K))
(SR)0/R
-0.656
-0.965
-0.537
-0.742
-0.5659
(SR)1/R
-0.642
-0.820
-0.470
-0.577
-0.4973
-0.63548
-5.28337
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
2.27E-02 -6.92E-06 0.00E+00
-344.5
-2864.6

B 2
T2 T12
2


C 3
T2 T13
3
T1
R
R 0
 400 K,38 bar   400 K
Tf
C igp
T
dT  R ln

1
D 
T2
1
T1
1
 S R  363 K,1 bar 
38
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T 1 (K)
400
T 2 (K)
362.9176
A
1.637
C (1/K2)
D (K2)
B (1/K)
2.27E-02 -6.92E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1


C 2
T2 T12
2
B T2 T1 


ICPS
-0.903
D 2
T2
T1
2
2
S (J/(mol K))
-7.51

T1
H   H R  423 K, 22 bar   
Tf
423 K
H   H R  423 K, 22 bar   
Tf
423 K

Tf
423 K
C igp dT  H R T f ,1 bar 
C igp dT  0
C igp dT  H R  423 K, 22 bar 
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
423
P (bar)
22
Tr
1.1439
Pr
0.5179
0.422
B 0 0.083
Tr1.6
0.172
B1 0.139
Tr4.2

0.152
Tc (K)
Pc (bar)
369.8
42.48
0
B
-0.2573
dB0
dTr
1
B
0.0412
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
0.4759
dB1
dTr
HR/RT c
-0.4443
0.3589

HR
dB0

Pr B 0 Tr

RTc
dTr


 
B1 Tr


HR (J mol-1)
-1366.04
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T 1 (K)
423
T 2 (K)
408.9078
T2

A
1.213
Cp
ICPH º
dT A T2 T1 
R
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
2.88E-02 -8.82E-06 0.00E+00
-164.3
-1366.0

B 2
T2 T12
2


C 3
T2 T13
3
T1
S  S
R
 423 K, 22 bar   423 K
408.9
C igp
T
dT  R ln

1
D 
T2
1
T1
1
 S R  408.9 K,1 bar 
22
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
423
P (bar)
22
Tr
1.1439
Pr
0.5179

0.152
Tc (K)
Pc (bar)
369.8
42.48
dB0
dTr
0.4759
dB0 0.675
 2.6
dTr
Tr
dB1
dTr
0.3589
R
S /R
-0.2747
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr

S
R
-1
-1
(J mol K )
-2.28
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T 1 (K)
423
T 2 (K)
408.9078
A
1.213
C (1/K2)
D (K2)
B (1/K)
2.88E-02 -8.82E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

B T2 T1 

C 2
T2 T12
2


ICPS
-0.395
D 2
T2
T1
2
2
S (J/(mol K))
-3.28

T1
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the prior written consent of McGraw-Hill Education.
T (K)
373.15
Tr
1.0091
B 0.083
0
B1 0.139
P (bar)
1
Pr
0.0235
0.422
Tr1.6
0.172
Tr4.2
Tc (K)
369.8
0
B
-0.3330
Pc (bar)
42.48
1
B
-0.0266
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.152
dB0
dTr
dB1
dTr
0.6594
0.6889

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-80.20
HR /RTc
-0.0261

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T (K)
373.15
Tr
1.0091
B 0 0.083
B1 0.139
P (bar)
10
Pr
0.2354
0.422
Tr1.6
0.172
Tr4.2
Tc (K)
369.8
B0
-0.3330
Pc (bar)
42.48
B1
-0.0266
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.152
dB0
dTr
dB1
dTr
0.6594
0.6889

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-801.97
HR /RTc
-0.2608

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
373.15
Tr
1.0091
P (bar)
1
Pr
0.0235
Tc (K)
369.8
dB0
dTr
0.6594
dB0 0.675
 2.6
dTr
Tr
Pc (bar)
42.48
dB1
dTr
0.6889

0.152
SR /R
-0.0180
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr

SR (J mol -1 K-1)
-0.1496
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T (K)
373.15
Tr
1.0091
P (bar)
10
Pr
0.2354
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
Tc (K)
369.8
dB0
dTr
0.6594
Pc (bar)
42.48
dB1
dTr
0.6889

0.152
SR /R
-0.1799
dB 0
SR
Pr 
dT
R
 r

SR (J mol -1 K-1)
-1.4955
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
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the prior written consent of McGraw-Hill Education.

Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
318.15
Tr
1.0459
B 0.083
0
B1 0.139
P (bar)
16
Pr
0.2167
Tc (K)
304.2
0
B
-0.3098
Pc (bar)
73.83
1
B
-0.0035
dB0 0.675
 2.6
dTr
Tr
0.422
Tr1.6
dB1 0.722
 5.2
dTr
Tr
0.172
Tr4.2

0.224
dB0
dTr
dB1
dTr
0.6007
0.5718

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-588.04
HR /RTc
-0.2325

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T2
ICPH T0,T;A,B,C,D  º
R
Cp
T1
T0(K)
318.15
T (K)
302.71
A
5.457
dT  A T  T0  
1 1 
B 2
C 3
T  T02 
T  T03  D   
2
3
 T T0 




ig
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.05E-03 0.00E+00 -1.16E+05
-70.7
-588.0
dB0
dTr
dB1
dTr
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
B 0 0.083
0.422
B1 0.139
0.172
Tr1.6
Tr4.2
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
T2
ICPH T0,T;A,B,C,D  º

HR
dB0

Pr B 0 Tr

RTc
dTr

 R dT  AT  T   2 T
Cp
B
2
0

 T02 
T1
T0(K)
318.15
T (K)
318.15
Tr
1.0459

 
B1 Tr


dB1
dTr
1 1 
C 3
T  T03  D   
3
 T T0 


T (K)
303.83
A
5.457
ig
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.05E-03 0.00E+00 -1.16E+05
-65.7
-546.0
P (bar)
16
Tc (K)
304.2
Pc (bar)
73.83
Pr
0.2167
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
dB0
dTr
0.6007
dB1
dTr
0.5718

0.224
SR /R
-0.1579
dB 0
SR
Pr 
dT
R
 r

SR (J mol -1 K-1)
-1.31
dB1
dTr
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
303.8
Tr
0.9987
P (bar)
1.0133
Tc (K)
304.2
Pc (bar)
73.83
dB0
dTr
Pr
0.0137
dB1
dTr
0.6773
0.7270
dB0 0.675
 2.6
dTr
Tr
T
ICPS  T0,T;A,B,C,D º

T0
T (K)
303.83
S  
Tf
C
ig
p
Tf
523 K
T
T

SR (J mol -1 K-1)
-0.10
dB1
dTr

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
A
5.457
C igp
523 K

SR /R
-0.0115
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr
T0 (K)
318.15

0.224
C (1/K2)
D (K2)
B (1/K)
1.05E-03 0.00E+00 -1.16E+05
dT  R ln
ICPS
-0.211
Sig (J/(mol K))
-1.7557
120
0
3800
dT  28.73 J/(mol K)
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T 1 (K)
523.15
T 2 (K)
308.167
C (1/K2)
D (K2)
B (1/K)
1.44E-02 -4.39E-06 0.00E+00
A
1.424
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

B T2 T1 

C 2
T2 T12
2


ICPS
-3.456
D 2
T2
T1
2
2
S (J/(mol K))
-28.73

T1
T 1 (K)
523.15
T 2 (K)
308.167
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.44E-02 -4.39E-06 0.00E+00 -1425.6
-11852.5
A
1.424
T2

Cp
ICPH º
dT A T2 T1 
R

B 2
T2 T12
2

T1
S   S R  523 K,38 bar   
Tf
523 K

Tf

Tf
523 K
523 K
C
ig
p
T
C igp
T
C igp
T
dT  R ln
dT  S R  523 K,38 bar   R ln

C 3
T2 T13
3

1
D 
T2
1
T1
1.2
 S R T f ,1.2 bar   0
38
1.2
 S R T f ,1.2 bar 
38
dT  S R  523 K,38 bar   28.73 J/(mol K)  S R T f ,1.2 bar 
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
523.15
P (bar)
38
Tr
1.8532
Pr
0.7540

0.87
Tc (K)
Pc (bar)
282.3
50.4
dB0
dTr
0.1357
dB0 0.675
 2.6
dTr
Tr
dB1
dTr
0.0292
SR/R
-0.1215
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr

SR (J mol-1 K-1)
-1.01
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.

C igp
Tf
523 K
T
dT  1.01  28.73  29.74 J/(mol K)
T 1 (K)
523.15
T 2 (K)
301.3147
A
1.424
C (1/K2)
D (K2)
B (1/K)
1.44E-02 -4.39E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

B T2 T1 

C 2
T2 T12
2


ICPS
-3.577
D 2
T2
T1
2
2
S (J/(mol K))
-29.74

T1
T 1 (K)
523.15
T 2 (K)
301.3147
T2

A
1.424
Cp
ICPH º
dT A T2 T1 
R
T1
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.44E-02 -4.39E-06 0.00E+00 -1462.6
-12160.3

B 2
T2 T12
2


C 3
T2 T13
3

1
D 
T2
1
T1
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
523.15
Tr
1.8532
B 0 0.083
B1 0.139
P (bar)
38
Pr
0.7540
0.422
Tr1.6
0.172
Tr4.2

0.87
Tc (K)
Pc (bar)
282.3
50.4
B0
-0.0743
dB0
dTr
B1
0.1261
dB0 0.675
 2.6
dTr
Tr
0.1357
dB1
dTr
0.0292

HR
dB0

Pr B 0 Tr

RTc
dTr

dB1 0.722
 5.2
dTr
Tr
HR/RT c
-0.1984

 
B1 Tr


HR (J mol-1)
-465.77
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
H   H R  523 K,38 bar   
301 K
523 K
C igp dT  465.8  12160.3  11695 J/mol
S  S R  493 K,30 bar   
Tf
493 K
C igp
T
dT  R ln
2.6 R
 S T f K, 2.6 bar   0
30
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.

C igp
Tf
493 K
T 1 (K)
493
T
dT  20.33 J/(mol K)
T 2 (K)
367.472
A
1.131
C (1/K2)
D (K2)
B (1/K)
1.92E-02 -5.56E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

B T2 T1 

C 2
T2 T12
2


ICPS
-2.445
D 2
T2
T1
2
2
S (J/(mol K))
-20.33

T1
T 1 (K)
493
T 2 (K)
367.472
T2

A
1.131
Cp
ICPH º
dT A T2 T1 
R
T1
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.92E-02 -5.56E-06 0.00E+00 -1050.1
-8730.7

B 2
T2 T12
2


C 3
T2 T13
3

1
D 
T2
1
T1
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
S   S R  493 K,30 bar   
C igp
Tf
493 K

C igp
Tf
T
493 K
T (K)
493.15
Pr
0.6158
dB0
dTr
0.1940

493 K
T 1 (K)
493
T
dB1
dTr
0.0597
SR/R
-0.1231

SR (J mol-1 K-1)
-1.02
dB1
dTr
dT  21.35 J/(mol K)
T 2 (K)
361.4254
A
1.131
C (1/K2)
D (K2)
B (1/K)
1.92E-02 -5.56E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

0.1
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr
C igp

Tc (K)
Pc (bar)
305.3
48.72
dB0 0.675
 2.6
dTr
Tr
Tf
2.6
0
30
dT  S R  493 K,30 bar   20.33 J/(mol K)
P (bar)
30
Tr
1.6153
T
dT  R ln
B T2 T1 

C 2
T2 T12
2


ICPS
-2.568
D 2
T2
T1
2
2
S (J/(mol K))
-21.35

T1
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
361
P (bar)
2.6
Tr
1.1824
Pr
0.0534
dB0
dTr
0.4366
dB0 0.675
 2.6
dTr
Tr


Tf
C igp
493 K
493 K
T 1 (K)
493
T
C igp
T
dB1
dTr
0.3021
SR/R
-0.0249

SR (J mol-1 K-1)
-0.21
dB1
dTr
dT  S R  493 K,30 bar   20.33 J/(mol K)  S R T f , 2.6 bar 
dT  1.02  20.33  0.21  21.14 J/(mol K)
T 2 (K)
362.6735
A
1.131
C (1/K2)
D (K2)
B (1/K)
1.92E-02 -5.56E-06 0.00E+00
T2
Cp
T
ICPS º
dT A ln  2
RT
T1

0.1
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr
Tf

Tc (K)
Pc (bar)
305.3
48.72
B T2 T1 

C 2
T2 T12
2


ICPS
-2.543
D 2
T2
T1
2
2
S (J/(mol K))
-21.14

T1
H   H R  493 K,30 bar   
363 K
493 K
C igp dT  H R  363 K, 2.6 bar 
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
493
P (bar)
30
Tr
1.6148
Pr
0.6158
B 0 0.083
B1 0.139
T 1 (K)
493
0.422
Tr1.6
0.172
Tr4.2
T 2 (K)
363

Tc (K)
Pc (bar)
305.3
48.72
0
B
-0.1130
1

Cp
ICPH º
dT A T2 T1 
R
0.1942
dB1
dTr
Tr
1.1890
B 0 0.083
B1 0.139
P (bar)
2.6
Pr
0.0534
0.422
Tr1.6
0.172
Tr4.2
B
-0.2369

 
B1 Tr


R
H
-1
(J mol )
-663.72
dB1
dTr
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
1.92E-02 -5.56E-06 0.00E+00 -1083.3
-9006.2

B 2
T2 T12
2
Tc (K)
Pc (bar)
305.3
48.72
0
H /RT c
-0.2615
0.0597


C 3
T2 T13
3

T1
T (K)
363
R

HR
dB0

Pr B 0 Tr

RTc
dTr

dB1 0.722
 5.2
dTr
Tr
T2
dB0
dTr
B
0.1160
dB0 0.675
 2.6
dTr
Tr
A
1.131
0.1
1
B
0.0559
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
1
D 
T2
1
T1

0.1
dB0
dTr
0.4304
dB1
dTr
R
H /RT c
-0.0415
0.2935

HR
dB0

Pr B 0 Tr

RTc
dTr


 
B1 Tr


R
H
-1
(J mol )
-105.38
dB1
dTr
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
S 
ig
T2

323.15
T (K)
323.15
P (bar)
Tr
0.7602
1
Pr
0.0263
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
T2
Cp
 7.8 
dT  R ln 
dT  17.08 J mol1 K 1
 
T
 1  323.15 T
Cp
Tc (K)
425.1
dB0
dTr
1.3770
Pc (bar)
37.96
dB1
dTr
3.0046

0.2
SR /R
-0.0521
dB 0
SR
Pr 
dT
R
 r

SR (J mol -1 K-1)
-0.4332
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T2

323.15
T2

323.15
Cp
T
Cp
T
dT  17.08  0.43  S R T2 , 7.8 bar   16.65  S R T2 , 7.8 bar  J mol1 K 1
dT  17.08 J mol1 K 1
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T
ICPS  T0,T;A,B,C,D º

T0
T0 (K)
323.15
T (K)
376.56
Tr
0.8858

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
T (K)
376.56
A
1.935
C (1/K2)
D (K2)
B (1/K)
3.69E-02 -1.14E-05 0.00E+00
P (bar)
7.8
Tc (K)
425.1
Pc (bar)
37.96
Pr
0.2055
dB0
dTr
dB1
dTr
0.9251
dB0 0.675
 2.6
dTr
Tr
1.3563
Sig (J/(mol K))
17.0803

0.2
SR /R
-0.2458
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr
ICPS
2.054

SR (J mol -1 K-1)
-2.0440
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T2

323.15
Cp
T
dT  17.08  0.43  S R T2 , 7.8 bar   16.65  2.044  18.69 J mol1 K 1
T
ICPS  T0,T;A,B,C,D º

T0
T0 (K)
323.15
T (K)
381.69

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
A
1.935
C (1/K2)
D (K2)
B (1/K)
3.69E-02 -1.14E-05 0.00E+00
ICPS
2.248
Sig (J/(mol K))
18.6893
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T (K)
381.69
Tr
0.8979
P (bar)
7.8
Pr
0.2055
Tc (K)
425.1
dB0
dTr
Pc (bar)
37.96
dB1
dTr
0.8932
dB0 0.675
 2.6
dTr
Tr
1.2641

0.2
SR /R
-0.2355
dB 0
SR
Pr 
dT
R
 r
dB1 0.722
 5.2
dTr
Tr

SR (J mol -1 K-1)
-1.9579
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T2

323.15
Cp
T
dT  17.08  0.43  S R T2 , 7.8 bar   16.65  1.958  18.604 J mol1 K 1
T
ICPS  T0,T;A,B,C,D º

T0
T0 (K)
323.15
T (K)
381.42

T 
D  T 2  T02 
dT  A ln    B T  T0    C  2 2 


RT
2 
T T0 
 T0 


Cp
A
1.935
C (1/K2)
D (K2)
B (1/K)
3.69E-02 -1.14E-05 0.00E+00
ICPS
2.238
Sig (J/(mol K))
18.6041
Copyright © McGraw-Hill Education. All rights reserved. No reproduction or distribution without
the prior written consent of McGraw-Hill Education.
T2
ICPH T0,T;A,B,C,D  º
R
Cp
dT  A T  T0  
T1
T0(K)
323.15
T (K)
323.15
Tr
0.7602
B 0.083
0
B1 0.139
T (K)
381.42
P (bar)
1
Pr
0.0263
0.422
Tr1.6
0.172
Tr4.2
1 1 
B 2
C 3
T  T02 
T  T03  D   
2
3
 T T0 




A
1.935
ig
C (1/K2)
D (K2)
B (1/K)
ICPH (K) H (J/mol)
3.69E-02 -1.14E-05 0.00E+00
787.9
6550.6
Tc (K)
425.1
Pc (bar)
37.96
0
B
-0.5714
1
B
-0.4051
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.2
dB0
dTr
dB1
dTr
1.3770
3.0046

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-200.75
HR /RTc
-0.0568

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T (K)
381.42
Tr
0.8972
B 0 0.083
B1 0.139
P (bar)
7.8
Pr
0.2055
0.422
Tr1.6
0.172
Tr4.2
Tc (K)
425.1
B0
-0.4189
Pc (bar)
37.96
B1
-0.1322
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr

0.2
dB0
dTr
dB1
dTr
0.8948
1.2688

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-1071.92
HR /RTc
-0.3033

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
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⋅
−
⋅
56.0056
59.04121
61.1392
62.579174
63.39535
63.32491
62.15734
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P2
(kPa)
T2 (K)
V2
(cm^3/g)
mass (kg)
1
384.09
303316
0.00576956
100
384.82
3032.17 0.577144421
200
385.57
1515.61 1.154650603
300
386.31
1010.08 1.732536037
400
387.08
757.34 2.310719096
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2.5
387.5
387
386.5
386
1.5
385.5
1
T2 (K)
Mass (kg)
2
385
384.5
0.5
384
0
383.5
0
50
100
150
200
250
300
350
400
P2 (kPa)
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T (K)
500
P (bar)
20
Tc (K)
425.2
Pc (bar)
42.77

Z
0.19
0
Tr
1.1759
Pr
0.4676
0.422
B 0.083
0
B1 0.139
Tr1.6
0.172
Tr4.2
0
B
-0.2426
1
B
0.0519
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
0.9074

Z  1  B0   B1
 TP
1
dB
dTr
dB
dTr
0.4429
0.3109

HR
dB0

Pr B 0 Tr

RTc
dTr

HR (J mol -1)
-1360.65
HR /RTc
-0.3849

 
B1 Tr


dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
T (K)
500
Tr
1.1759
P (bar)
20
Pr
0.4676
dB0 0.675
 2.6
dTr
Tr
dB1 0.722
 5.2
dTr
Tr
Tc (K)
425.2
dB0
dTr
0.4429
Pc (bar)
42.77
dB1
dTr
0.3109

0.19
SR /R
-0.2347
dB 0
SR
Pr 
dT
R
 r

SR (J mol -1 K-1)
-1.9517
dB1
dTr
Pale blue boxes are input fields, pink boxes are the final output.
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r
r
T (K)
400
P (bar)
200
Tc (K)
304.2
Pc (bar)
73.83
Tr
1.30
1.30
1.40
1.40
Pr
2.00
3.00
2.00
3.00

0.224
Tr
1.3149
Pr
2.7089
Z1
0.1991
0.2079
0.1894
0.2397
(HR )0/(RTc)
-1.56
-2.274
-1.253
-1.857
Table Points
Tr (1)
Tr(1)
Tr(2)
Tr(2)
Pr(1)
Pr(2)
Pr(1)
Pr(2)
Z0
0.6908
0.6344
0.7753
0.7202
Interpolated Values
Final Values
Z
3
V (cm /mol)
0.7102
118.1
0.6636
HR /(RTc)
R
H (J/mol)
ω
T
P
Tc1
Tc2
0.2083
(HR )1/(RTc)
-0.178
-0.3
-0.07
-0.044
-2.0087
-0.2327
(SR )0/R
-0.891
-1.299
-0.663
-0.99
-1.1376
-2.06084
SR /R
-1.22828
-5212.12
SR (J/(mol K))
-10.2119
(SR )1/R
-0.3
-0.481
-0.22
-0.29
-0.4046
ω
Pc1
Pc2
ω1
ω2
650
60
562.2
553.6
48.98
40.73
0.21
0.21
300
100
304.2
132.9
73.83
34.99
0.224
0.048
600
100
304.2
568.7
73.83
24.9
0.224
0.4
350
75
305.3
282.3
48.72
50.4
0.1
0.087
400
150
373.5
190.6
89.63
45.99
0.094
0.012
200
75
190.6
126.2
45.99
34
0.012
0.038
450
80
190.6
469.7
45.99
33.7
0.012
0.252
250
100
126.2
154.6
34
50.43
0.038
0.022
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Tpc
Ppc
ω
Tpr
Ppr
557.9
44.855
0.21 1.165083 1.337644
218.55
54.41
0.136 1.372684 1.837897
436.45
49.365
0.312 1.374728 2.025727
293.8
49.56
0.0935 1.191287 1.513317
282.05
67.81
0.053 1.418188 2.212063
158.4
39.995
0.025 1.262626 1.875234
330.15
39.845
0.132 1.363017
140.4
42.215
Z0
Z1
2.00778
0.03 1.780627 2.368826
H0
H1
S0
S1
0.6543
0.1219
-1.395
-0.461
-0.89
-0.466
0.7706
0.1749
-1.214
-0.116
-0.658
-0.235
0.7527
0.1929
-1.346
-0.097
-0.729
-0.242
0.6434
0.1501
-1.51
-0.4
-0.944
-0.43
0.7744
0.199
-1.34
-0.049
-0.704
-0.224
0.6631
0.1853
-1.623
-0.254
-0.965
-0.348
0.7436
0.1933
-1.372
-0.11
-0.75
-0.25
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0.9168
0.1839
-0.82
0.172
-0.361
-0.095
Z
HR (J/mol)
SR (J/mol K)
0.680
-6919.58
-8.21307
0.794
-2234.53
-5.73633
0.813
-4993.97
-6.68865
0.657
-3779.76
-8.18268
0.785
-3148.34
-5.95176
0.668
-2145.75
-8.09534
0.769
-3805.81
-6.50986
0.922
-951.151
-3.02505
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=
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Tc := 647.1K
Pc := 220.55bar
At Tr = 0.7:
T := 0.7 Tc
T = 452.97K
Find Psat in the Saturated Steam Tables at T = 452.97 K
T1 := 451.15K
P1 := 957.36kPa
T2 := 453.15K
Psat = 998.619 kPa
Psatr:=
Psatr := 0.045
P2 := 1002.7kPa
Psat = 9.986 bar
ω := −1 − log(Psatr) ω = 0.344 Ans.
This is very close to the value reported in Table B.1 (ω = 0.345).
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ω
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Estimated Value
(kJ/mol)
Table B.2
(kJ/mol)
Benzene
30.8
30.72
iso-butane
21.39
21.3
Carbon
tetrachloride
29.81
29.82
cyclohexane
30.03
29.97
n-Decane
39.97
38.75
n-Hexane
29.27
28.85
n-Ocatane
34.7
34.41
Toluene
33.72
33.18
o-Xylene
37.23
36.24
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∙
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