2. What are the equilibrium vapor and liquid mole fractions of an equimolar feed of benzene, sopropylbenzene, and isobutylbenzene at 760 mmHg and 150 C? How much of the feed is vaporized isothermally?

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
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2. What are the equilibrium vapor and liquid mole fractions of an equimolar feed of benzene,
isopropylbenzene, and isobutylbenzene at 760 mmHg and 150 C? How much of the feed is
vaporized isothermally?
See the "Vapor Pressures and Boiling Points of Sixty API-NBS Hydrocarbons” document
uploaded below. Use the Antoine equation and the reported constants to get
vapor pressures. You can assume ideal behavior in the vapor and liquid phases.
Vapor Pressures and Boiling Points of Sixty API-NBS
Hydrocarbons¹
The experimental data on the hydrocarbons were correlated, the method of least
squares being used, with the three-constant Antoine equation for vapor pressures, log
P=A-B/(C+t) or t=B/(A-log P)-C.
TABLE 1. Experimental data
t
Benzene
°C
80.948
80. 461
79.909
79.424
78.903
74.035
67. 148
60.803
54.852
49. 084
44. 294
39. 095
35. 207
31.013
26.908
23. 271
20. 628
17.697
14.575
10.983
Benzene.
P
mm Hg
780.04
768. 51
755.48
741.29
732.38
628. 15
501.00
402.76
325, 21
261.95
217.34
176.06
149.58
124.75
103.81
87.90
77.47
67.42
57.68
47.98
Isobutylbenzene.
Isopropylbenzene.
t
Isobutylbenzene
° C
173.814
173. 209
172. 526
171.920
171.270
165.217
156.632
148. 724
141.301
134. 112
128. 149
121.659
116.808
111.582
106.450
101.946
Compound
98. 620
95. 026
91. 118
86.637
P
mm Hg
779.99
768.49
755, 59
744.41
732. 41
628. 21
500.99
402.73
325. 17
261.91
217.36
176. 07
149.60
124. 82
103. 81
87.92
77.47
67.44
57.73
48. 12
t
Isopropylbenzene
°C
153.40
152.82
152. 17
151.59
150.97
137.01
129. 46
122.38
115. 52
109.82
103.64
99.00
94.01
89. 11
84.82
81.64
78. 23
74.47
70.16
Formula
P
mm Hg
780.09
768.55
755. 54
744.34
732.43
501.03
402. 79
325, 25
261.98
217.37
176.09
149. 61
124. 78
103. 83
87.92
77.49
67.45
A
57.70
48.01
Constants of the Antoine
equation
log10 P-A-B/(C+t), or t=
P/(A-log10 P)-C
(P in mm Hg; t in ° C)
C6H6
6.91210
C10H14 6.93033
C9 H12 6.93958
B
1214.645
1526. 384
1462. 717
C
221. 205
204. 171
207.993
Normal
boiling
point
760 mm
Hg
80.099
172.759
1.52.392
Pressure
coefficient,
dt/dP, at
760 mm Hg
0.04271
.05319
.05074
Range of measurement.
Pressure Temperature
48 to 780
48 to 780
48 to 780
10.9 to 80.9
86.6 to 173.8
70.2 to 153.4
Meas-
ure of
preci-
sion
P
0.82
0.34
.39
Transcribed Image Text:2. What are the equilibrium vapor and liquid mole fractions of an equimolar feed of benzene, isopropylbenzene, and isobutylbenzene at 760 mmHg and 150 C? How much of the feed is vaporized isothermally? See the "Vapor Pressures and Boiling Points of Sixty API-NBS Hydrocarbons” document uploaded below. Use the Antoine equation and the reported constants to get vapor pressures. You can assume ideal behavior in the vapor and liquid phases. Vapor Pressures and Boiling Points of Sixty API-NBS Hydrocarbons¹ The experimental data on the hydrocarbons were correlated, the method of least squares being used, with the three-constant Antoine equation for vapor pressures, log P=A-B/(C+t) or t=B/(A-log P)-C. TABLE 1. Experimental data t Benzene °C 80.948 80. 461 79.909 79.424 78.903 74.035 67. 148 60.803 54.852 49. 084 44. 294 39. 095 35. 207 31.013 26.908 23. 271 20. 628 17.697 14.575 10.983 Benzene. P mm Hg 780.04 768. 51 755.48 741.29 732.38 628. 15 501.00 402.76 325, 21 261.95 217.34 176.06 149.58 124.75 103.81 87.90 77.47 67.42 57.68 47.98 Isobutylbenzene. Isopropylbenzene. t Isobutylbenzene ° C 173.814 173. 209 172. 526 171.920 171.270 165.217 156.632 148. 724 141.301 134. 112 128. 149 121.659 116.808 111.582 106.450 101.946 Compound 98. 620 95. 026 91. 118 86.637 P mm Hg 779.99 768.49 755, 59 744.41 732. 41 628. 21 500.99 402.73 325. 17 261.91 217.36 176. 07 149.60 124. 82 103. 81 87.92 77.47 67.44 57.73 48. 12 t Isopropylbenzene °C 153.40 152.82 152. 17 151.59 150.97 137.01 129. 46 122.38 115. 52 109.82 103.64 99.00 94.01 89. 11 84.82 81.64 78. 23 74.47 70.16 Formula P mm Hg 780.09 768.55 755. 54 744.34 732.43 501.03 402. 79 325, 25 261.98 217.37 176.09 149. 61 124. 78 103. 83 87.92 77.49 67.45 A 57.70 48.01 Constants of the Antoine equation log10 P-A-B/(C+t), or t= P/(A-log10 P)-C (P in mm Hg; t in ° C) C6H6 6.91210 C10H14 6.93033 C9 H12 6.93958 B 1214.645 1526. 384 1462. 717 C 221. 205 204. 171 207.993 Normal boiling point 760 mm Hg 80.099 172.759 1.52.392 Pressure coefficient, dt/dP, at 760 mm Hg 0.04271 .05319 .05074 Range of measurement. Pressure Temperature 48 to 780 48 to 780 48 to 780 10.9 to 80.9 86.6 to 173.8 70.2 to 153.4 Meas- ure of preci- sion P 0.82 0.34 .39
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