Consider a mixture of 2 moles of 1-propanol and 8 moles of water at 1 atm (760 mmHg) (a) What would be the composition (mole fractions) of the liquid and gas phases if the system is maintained in equilibrium at 92.35 °C? (b) ) How many moles would be in each phase?

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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5. Consider a mixture of 2 moles of 1-propanol and 8 moles of water at 1 atm (760 mmHg)
(a) What would be the composition (mole fractions) of the liquid and gas phases if the system is maintained in equilibrium at 92.35 °C?
(b) ) How many moles would be in each phase?

Data on the system 1-propanol and water is presented in Figure 5 and Table VIII of: Murti, P., & Van Winkle, M. (1958).

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"
Table VIII. Experimental Vapor-Liquid Equilibrium Data at
760 Mm. of Mercury Pressure for System
0.0390
0.0720
0.0750
0.1790
0.2000
0.4250
0.4820
0.7120
0.8500
0.9400
0.0390
0.0650
0.1545
0. 1790
0. 1960
0.2620
0.3000
0.4090
0.4260
0.4895
0.5660
0.7050
0.7350
0.7960
0.8800
0.8940
0.9250
0.9500
0.0805
0.1295
0.1525
0.3050
Y₁
0.2810
0.3600
0.3750
0.3880
0.3790
0.4260
0.4380
0.560
0.6850
0.8550
0.2800
0.3575
0.3670
0.3735
0.3750
0.3920
0.3940
0.4120
0.4175
0.4455
0.5030
0.5530
0.5575
0.6210
0.7460
0.7600
0.7850
0.8500
0.34 10
0.3555
0.3615
0.3870
1-Propanol-Water
t, °C.
92.35
88.85
89.05
87.95
88.00
87.50
87.80
89.20
91.70
95.0
с
T
202.5
223.0
228.5
230.5
228.5
229.0
229.5
231,0
231.0
230,0
229.0
216.0
215.0
204.5
184.5
178.5
182.5
169.5
85.75
86.50
86.50
86.50
Y₁
8.735
6.986
6.921
3.135
2.738
1.478
1.323
1.092
1.003
0.994
9.732
8.140
3.600
3. 19
2.900
2.309
2.000
1.555
1.502
1.406
1.360
1.133
1.083
1.067
1.040
1.017
1.038
1.017
6.770
4.426
2.000
2.046
Y₂
0.990
1,042
1.014
1.163
1.211
1.588
1.706
2.079
2.847
3.006
1.014
1.024
1.140
1.173
1.184
1.271
1.328
1.535
1.566
1.691
1.752
2. 188
2.400
2.540
2.612
2,579
3.499
3.401
1.122
1. 168
100
1.392
Methanol-
ethyl acetate
Ethyl alcohol-
ethyl acetate
1-Propanol-
ethyl acetate
2-Propanol-
ethyl acetate
1-Propanol-
water
TEMPERATURE C
75
65
Table IX. Van Laar Constants
P=760 Mm. Hg T-60°C. T-50 °C. T=40°C.
A. 0.4530
B. 0.4600
A. 0.3720
B. 0.3840
A. 0.2400
B. 0.2460
A. 0.2010
B. 0.2060
A. 1.160
B. 0,503
0.4700
0.4791
0.3960
0.4040
0.300
0.307
0.2980
0.3040
1.000
0.563
0.4940
0.4940
P=760 MM HG
T = 60°c
0.5220
0.5120
0.4640
0.4550
0.375
0.364
0.3760
0.3680
1.050
0.600
Transcribed Image Text:" Table VIII. Experimental Vapor-Liquid Equilibrium Data at 760 Mm. of Mercury Pressure for System 0.0390 0.0720 0.0750 0.1790 0.2000 0.4250 0.4820 0.7120 0.8500 0.9400 0.0390 0.0650 0.1545 0. 1790 0. 1960 0.2620 0.3000 0.4090 0.4260 0.4895 0.5660 0.7050 0.7350 0.7960 0.8800 0.8940 0.9250 0.9500 0.0805 0.1295 0.1525 0.3050 Y₁ 0.2810 0.3600 0.3750 0.3880 0.3790 0.4260 0.4380 0.560 0.6850 0.8550 0.2800 0.3575 0.3670 0.3735 0.3750 0.3920 0.3940 0.4120 0.4175 0.4455 0.5030 0.5530 0.5575 0.6210 0.7460 0.7600 0.7850 0.8500 0.34 10 0.3555 0.3615 0.3870 1-Propanol-Water t, °C. 92.35 88.85 89.05 87.95 88.00 87.50 87.80 89.20 91.70 95.0 с T 202.5 223.0 228.5 230.5 228.5 229.0 229.5 231,0 231.0 230,0 229.0 216.0 215.0 204.5 184.5 178.5 182.5 169.5 85.75 86.50 86.50 86.50 Y₁ 8.735 6.986 6.921 3.135 2.738 1.478 1.323 1.092 1.003 0.994 9.732 8.140 3.600 3. 19 2.900 2.309 2.000 1.555 1.502 1.406 1.360 1.133 1.083 1.067 1.040 1.017 1.038 1.017 6.770 4.426 2.000 2.046 Y₂ 0.990 1,042 1.014 1.163 1.211 1.588 1.706 2.079 2.847 3.006 1.014 1.024 1.140 1.173 1.184 1.271 1.328 1.535 1.566 1.691 1.752 2. 188 2.400 2.540 2.612 2,579 3.499 3.401 1.122 1. 168 100 1.392 Methanol- ethyl acetate Ethyl alcohol- ethyl acetate 1-Propanol- ethyl acetate 2-Propanol- ethyl acetate 1-Propanol- water TEMPERATURE C 75 65 Table IX. Van Laar Constants P=760 Mm. Hg T-60°C. T-50 °C. T=40°C. A. 0.4530 B. 0.4600 A. 0.3720 B. 0.3840 A. 0.2400 B. 0.2460 A. 0.2010 B. 0.2060 A. 1.160 B. 0,503 0.4700 0.4791 0.3960 0.4040 0.300 0.307 0.2980 0.3040 1.000 0.563 0.4940 0.4940 P=760 MM HG T = 60°c 0.5220 0.5120 0.4640 0.4550 0.375 0.364 0.3760 0.3680 1.050 0.600
TEMPERATURE C.
TOTAL PRESSURE MM. HG
95
85
75
400
300
200
100
P=760 MM.HG
T = 60°C
T= 40° C
0.2
0.4
MOLE FRACTION I-PROPANOL
Figure 3. T-X-Y and PT-X-Y diagrams for 1-propanol-ethyl
0.6
acetate
0.8
T.O
TEMPERATURE C
TOTAL PRESSURE mm.Hg
105
100
95
90
85
300
200
100
O
P = 760 mm. Hg.
0.2
T = 60° C
0.6
X (1-PROPANOL)
Figure 5. T-X-Y and PT-X-Y diagrams for 1-propanol-water
T = 40°C
0.4
0.8
1.0
Transcribed Image Text:TEMPERATURE C. TOTAL PRESSURE MM. HG 95 85 75 400 300 200 100 P=760 MM.HG T = 60°C T= 40° C 0.2 0.4 MOLE FRACTION I-PROPANOL Figure 3. T-X-Y and PT-X-Y diagrams for 1-propanol-ethyl 0.6 acetate 0.8 T.O TEMPERATURE C TOTAL PRESSURE mm.Hg 105 100 95 90 85 300 200 100 O P = 760 mm. Hg. 0.2 T = 60° C 0.6 X (1-PROPANOL) Figure 5. T-X-Y and PT-X-Y diagrams for 1-propanol-water T = 40°C 0.4 0.8 1.0
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