The following experimentally determined data are available for the vapor-liquid equilibrium of benzene (1)/ chlorobenzene (2) at 26.0°C: p/mmHg 17.78 23.86 33.67 52.90 70.14 76.18 95.07 X1 0.0554 0.1168 0.2196 0.4304 0.6281 0.8154 0.9508 yı 0.3462 0.5382 0.7111 0.8651 0.9320 0.9684 0.9912 You may use the data in Table B.2 of Smith, et al. for the parameters in the Antoine eqation for the vapor pressures of pure benzene and pure chlorobenzene. (1) Use these VLE data to obtain appropriate values for the parameters in the van Laar and Margules models
The following experimentally determined data are available for the vapor-liquid equilibrium of benzene (1)/ chlorobenzene (2) at 26.0°C: p/mmHg 17.78 23.86 33.67 52.90 70.14 76.18 95.07 X1 0.0554 0.1168 0.2196 0.4304 0.6281 0.8154 0.9508 yı 0.3462 0.5382 0.7111 0.8651 0.9320 0.9684 0.9912 You may use the data in Table B.2 of Smith, et al. for the parameters in the Antoine eqation for the vapor pressures of pure benzene and pure chlorobenzene. (1) Use these VLE data to obtain appropriate values for the parameters in the van Laar and Margules models
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:Table B.2: Constants for the Antoine Equation for Vapor Pressures of Pure Species
B
t/°C + C
Latent heat of vaporization at the normal boiling point (AH₂), and normal boiling point (tn)
Name
Acetone
Acetic acid
Acetonitrile*
Benzene
iso-Butane
n-Butane
1-Butanol
2-Butanol*
iso-Butanol
tert-Butanol
Chlorobenzene
1-Chlorobutane
Carbon tetrachloride CC14
Chloroform
Cyclohexane
Cyclopentane
n-Decane
Dichloromethane
Diethyl ether
1,4-Dioxane
n-Eicosane
Ethanol
Ethylbenzene
Ethylene glycol*
n-Heptane
n-Hexane
Methanol
Methyl acetate
Methyl ethyl ketone
Nitromethane*
n-Nonane
iso-Octane
n-Octane
n-Pentane
Phenol
1-Propanol
2-Propanol
In Psat/kPa = A -
Parameters for Antoine Eqn.
At
Formula
B
C
C3H6O 14.3145 2756.22 228.060
C₂H4O2 15.0717 3580.80 224.650
C₂H3N 14.8950 3413.10 250.523
13.7819 2726.81 217.572
13.8254 2181.79 248.870
C6H6
C4H10
C4H10O
C4H10O
C4H10 13.6608 2154.70 238.789
C4H10O 15.3144 3212.43 182.739
C4H10O 15.1989 3026.03 186.500
14.6047 2740.95 166.670
14.8445 2658.29 177.650
14.0572 2914.23 232.148
13.8635 3174.78 211.700
13.7965 2723.73 218.265
13.7324 2548.74 218.552
13.6568 2723.44 220.618
Temp. Range AH₂
°C
-26-77
29.10
56.2
24-142 23.70 117.9
-27-81 30.19 81.6
6-104 30.72 80.0
21.30 -11.9
22.44 -0.5
37-138
43.29 117.6
25-120 40.75 99.5
30-128 41.82 107.8
10-101 39.07 82.3
-14-101 29.82 76.6
29-159 35.19 131.7
-17-79
30.39
78.5
-23-84
29.24
61.1
29.97
80.7
27.30 49.2
65-203
38.75
174.1
-38-60 28.06 39.7
-43-55 26.52 34.4
20-105 34.16 101.3
208-379 57.49 343.6
3-96
33-163
38.56 78.2
35.57 136.2
100-222 50.73 197.3
C7H16
4-123 31.77
98.4
C6H14
68.7
35.21
64.7
36.91 150.8
13.8193 2696.04 224.317 -19-92 28.85
CH40 16.5785 3638.27 239.500 -11-83
C3H6O2 14.2456 2662.78 219.690 -23-78 30.32 56.9
C4H8O 14.1334 2838.24 218.690 -8-103 31.30 79.6
CH3NO₂ 14.7513 3331.70 227.600 56-146 33.99
101.2
C9H20 13.9854 3311.19 202.694 46-178
C8H18 13.6703 2896.31 220.767 2-125
C8H18 13.9346 3123.13 209.635 26-152
C5H12 13.7667 2451.88 232.014 -45-58
25.79
C6H6O 14.4387 3507.80 175.400 80-208 46.18
C3H8O 16.1154 3483.67 205.807
C3H8O 16.6796 3640.20 219.610
30.79 99.2
34.41 125.6
36.0
181.8
20-116 41.44
97.2
8-100 39.85
82.2
C6H5Cl
C4H₂Cl
CHC13
C6H12
C5H10
13.9727 2653.90 234.510
C10H22 13.9748 3442.76 193.858
CH₂Cl₂ 13.9891 2463.93 223.240
C4H100 14.0735 2511.29 231.200
C4H8O2 15.0967 3579.78 240.337
C20H42 14.4575 4680.46 132.100
C₂H6O 16.8958 3795.17 230.918
C8H10 13.9726 3259.93 212.300
C₂H6O2 15.7567 4187.46 178.650
13.8622 2910.26 216.432
-83-7
-73-19
9-105
-35-71
kJ/mol t°C
Transcribed Image Text:The following experimentally determined data are available for the vapor-liquid
equilibrium of benzene (1)/ chlorobenzene(2) at 26.0°C:
p/mmHg
17.78
23.86
33.67
52.90
70.14
76.18
95.07
X1
0.0554
0.1168
0.2196
0.4304
0.6281
0.8154
0.9508
yı
0.3462
0.5382
0.7111
0.8651
0.9320
0.9684
0.9912
You may use the data in Table B.2 of Smith, et al. for the parameters in the Antoine
equation for the vapor pressures of pure benzene and pure chlorobenzene.
(1) Use these VLE data to obtain appropriate values for the parameters in the van Laar
and Margules models
(2) Prepare Pxy diagrams showing both the data and the fits from part (1)
(3) Use your results from parts (1) and (2) to determine the most suitable model and use
that model to prepare a Txy diagram at 50 mm Hg. (Assume that the coefficients in the
models do not depend on temperature.)
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Transcribed Image Text:Table B.2: Constants for the Antoine Equation for Vapor Pressures of Pure Species
B
t/°C + C
Latent heat of vaporization at the normal boiling point (AH,), and normal boiling point (tn)
Name
Acetone
Acetic acid
Acetonitrile*
Benzene
iso-Butane
n-Butane
1-Butanol
2-Butanol*
iso-Butanol
tert-Butanol
Chlorobenzene
1-Chlorobutane
Carbon tetrachloride CC14
Chloroform
Cyclohexane
Cyclopentane
n-Decane
Dichloromethane
Diethyl ether
1,4-Dioxane
n-Eicosane
Ethanol
Ethylbenzene
Ethylene glycol*
n-Heptane
n-Hexane
Methanol
Methyl acetate
Methyl ethyl ketone
Nitromethane*
n-Nonane
iso-Octane
n-Octane
n-Pentane
Phenol
1-Propanol
2-Propanol
In Psat/kPa = A -
Parameters for Antoine Eqn.
At
Formula
B
C
C3H6O 14.3145 2756.22 228.060
C₂H4O2 15.0717 3580.80 224.650
C₂H3N 14.8950 3413.10 250.523
13.7819 2726.81 217.572
13.8254 2181.79 248.870
C6H6
C4H10
C4H10O
C4H10O
C4H10 13.6608 2154.70 238.789
C4H10O 15.3144 3212.43 182.739
C4H10O 15.1989 3026.03 186.500
14.6047 2740.95 166.670
14.8445 2658.29 177.650
14.0572 2914.23 232.148
13.8635 3174.78 211.700
13.7965 2723.73 218.265
13.7324 2548.74 218.552
13.6568 2723.44 220.618
Temp. Range AH₂
°C
-26-77
29.10
56.2
24-142 23.70 117.9
-27-81 30.19 81.6
6-104 30.72 80.0
21.30 -11.9
22.44 -0.5
37-138
43.29 117.6
25-120 40.75 99.5
30-128 41.82 107.8
10-101 39.07 82.3
-14-101 29.82 76.6
29-159 35.19 131.7
-17-79
30.39
78.5
-23-84
29.24
61.1
29.97
80.7
27.30 49.2
65-203
38.75
174.1
-38-60 28.06 39.7
-43-55 26.52 34.4
20-105 34.16 101.3
208-379 57.49 343.6
3-96
33-163
38.56 78.2
35.57 136.2
100-222 50.73 197.3
C7H16
4-123 31.77
98.4
C6H14
68.7
35.21
64.7
36.91 150.8
13.8193 2696.04 224.317 -19-92 28.85
CH40 16.5785 3638.27 239.500 -11-83
C3H6O2 14.2456 2662.78 219.690 -23-78 30.32 56.9
C4H8O 14.1334 2838.24 218.690 -8-103 31.30 79.6
CH3NO₂ 14.7513 3331.70 227.600 56-146 33.99
101.2
C9H20 13.9854 3311.19 202.694 46-178
C8H18 13.6703 2896.31 220.767 2-125
C8H18 13.9346 3123.13 209.635 26-152
C5H12 13.7667 2451.88 232.014 -45-58
25.79
C6H6O 14.4387 3507.80 175.400 80-208 46.18
C3H8O 16.1154 3483.67 205.807
C3H8O 16.6796 3640.20 219.610
30.79 99.2
34.41 125.6
36.0
181.8
20-116 41.44
97.2
8-100 39.85
82.2
C6H5Cl
C4H₂Cl
CHC13
C6H12
C5H10
13.9727 2653.90 234.510
C10H22 13.9748 3442.76 193.858
CH₂Cl₂ 13.9891 2463.93 223.240
C4H10O 14.0735 2511.29 231.200
C4H8O2 15.0967 3579.78 240.337
C20H42 14.4575 4680.46 132.100
C₂H6O 16.8958 3795.17 230.918
C8H10 13.9726 3259.93 212.300
C₂H6O2 15.7567 4187.46 178.650
13.8622 2910.26 216.432
-83-7
-73-19
9-105
-35-71
KJ/mol t/°C
Transcribed Image Text:The following experimentally determined data are available for the vapor-liquid
equilibrium of benzene (1)/ chlorobenzene(2) at 26.0°C:
p/mmHg
17.78
23.86
33.67
52.90
70.14
76.18
95.07
X1
0.0554
0.1168
0.2196
0.4304
0.6281
0.8154
0.9508
yı
0.3462
0.5382
0.7111
0.8651
0.9320
0.9684
0.9912
You may use the data in Table B.2 of Smith, et al. for the parameters in the Antoine
equation for the vapor pressures of pure benzene and pure chlorobenzene.
(1) Use these VLE data to obtain appropriate values for the parameters in the van Laar
and Margules models
(2) Prepare Pxy diagrams showing both the data and the fits from part (1)
(3) Use your results from parts (1) and (2) to determine the most suitable model and use
that model to prepare a Txy diagram at 50 mm Hg. (Assume that the coefficients in the
models do not depend on temperature.)
Solution
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