In the recent years, the extractive heterogeneous-azeotropic distillation (EHAD) method gave great results in this field of separation (Toth et al., 2018). Acetone (1) and chloroform (2) mixture forms an azeotrope at temperature about 65 °C (338.15 K) and pressure of 101.325 kPa. The composition of azeotrope was found to be 0.335.  i. Determine the value of GE/RT

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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(a) In the recent years, the extractive heterogeneous-azeotropic distillation (EHAD) method gave great results in this field of separation (Toth et al., 2018). Acetone (1) and chloroform (2) mixture forms an azeotrope at temperature about 65 °C (338.15 K) and pressure of 101.325 kPa. The composition of azeotrope was found to be 0.335. 

i. Determine the value of GE/RT.

CONFIDENTIAL
APPENDIX 1
ЕНIFЕВ 2022/CHE553
Table B.2: Constant for the Antoine Equation for Vapor Pressure of Pure Species
In P /kPa = A - [B/(T/K +C))
Latent heat of vaporization at the normal boiling point (A H,) and normal boiling point (7,)
Parameters for Antoine Equation Temperange Range AH.
Name
в
K
kJ/mol
K
Formula
A**
From
To
14.3145 2756.22
-45.090
247.15
350.15
29.10
329.35
Acetone
Acetic acid
Acetonitrile
Benzene
iso-Butane
n-Butane
1-Butanol
C2H4O2 15.0717 3580.80
C2H3N 14.8950 3413.10
13.7819 2726.81
13.8254 2181.79
297.15
415.15
23,70
391.05
354,75
-48.500
354.15
377.15
-22.627
246.15
30.19
279.15
190.15
200.15
-55.578
30.72
353.15
-24.280
280.15
21.30
261.25
292.15
411.15
22.44
272.65
CaHio
CH100 15.3144 3212.43
C4H100 15.1989 3026.03
CHI00 14.6047 2740.95
C4H0 14.8445 2658.29
-34,361
-90.411
13.6608 2154.70
310.15
43.29
390.75
2-Butanol
-86.650
298.15
393.15
40.75
372.65
380.95
401.15
374.15
iso-Butanol
-106.480
303.15
41.82
95.500
283.15
39.07
355.45
teri-Butanol
Carbon tetrachloride
259.15
374.15
29.82
35.19
349.75
CC4
C6HSCI 13.8635 3174.78
CH9CI 13.7965 2723.73
CHCI3
C6H12
14.0572 2914.23
-41.002
432.15
352.15
404,85
-61.450
-54.885
Chlorobenzene
302.15
30.39
351.65
334.25
1-Chlorobutane
256.15
-54.598
-52.532
250.15
357.15
29.24
29.97
Chloroform
13.7324 2548.74
378.15
344.15
13.6568 2723.44
282.15
353.85
Сyclohexane
Cyclopentane
n-Decane
13.9727 2653.90
-38.640
238.15
27.30
322.35
447.25
312.85
CioH22 13.9748 3442.76
CH;Cl2 13.9891 2463.93
CH100 14.0735 2511.29
C4HgO, 15.0967 3579.78
C20H42 144,575 4680.46
C2H60 16.8958 3795.17
13.9726 3259.93
-79.292
338.15
476.15
38.75
333.15
328.15
Dichloromethane
-49.910
235.15
28.06
-41.950
26.52
Diethyl ether
1,4-Dioxane
307.55
374.45
230.15
-32.813
293.15
378.15
34.16
n-Eicosane
Ethanol
-141.050
481.15
652.15
57.49 616.75
-42.232
276.15
369.15
38.56
351.35
-60.850
306.15
436.15
35.57
409.35
Ethylbenzene
Ethylene glycol
n-Heptane
50.73
31.77
470.45
C2H6O2 15.7567 4187.46
CH16
CH14
-94.500
373.15
495.15
-56.718
-48.833
-33.650
-53.460
13.8622 2910.26
277.15
396,15
371.55
"-Нехаne
13.8193 2696.04
254.15
365.15
28.85
341.85
337.85
330.05
262.15
356.15
351.15
35.21
CHẠ0
C3H6O2 14.2456 2662.78
CHg0 14.1334 2838.24
CH3NO, 14.7513 3331.70
C9H20
CHIs
CHI8
CSH12
C, He0 14.4387 3507.80
C3HgO 16.1154 3483.67
Methanol
16.5785 3638.27
250.15
30.32
Methyl acetate
Methyl ethyl ketone
Nitromethane
n-Nonane
iso-Octane
265.15
329.15
--54.460
376.15
31.30
352.75
419.15
451.15
-45.550
33.99
374.35
13.9854 3311.19
-70.456
319.15
36.91
423.95
13.6703 2896.31
13.9346 3123.13
-52.383
275.15
398.15
30.79
372.35
425.15
331.15
n-Octane
-63.515
299.15
34.41
398.75
25.79
309.15
n-Pentane
Phenol
13.7667 2451.88
--41.136
228.15
-97.750
--67.343
-53.540
481.15
46.18
41.44
353.15
454.95
293.15
389.15
370.35
1-Propanol
2-Propanol
C3HgO 16.6796 3640.20
281.15
373.15
39.85
355.35
-55.525
409.15
33.18
383,75
373.15
Toluene
13.9320 3056.96
286.15
Water
16.3872 3885.70
-42.980
273.15
473.15
40.66
14.0415 3358.79
-61.109
313.15
445.15
36.24
417.55
o-Xylene
m-Xylene
p-Xylene
439.15
35.66 412.25
Calio
CgHi0 14.0579 3331.45
14.1387 338181
-57.030
308.15
-58.523
308.15
439.15
35.67
411.45
Based primarily on data presented by B. E. Poling, J. M. Prausnitz and J. P. O'Connell,
The Properties of Gases and Liquids, Sth ed., App. A. McGraw-Hill, New York, 2001.
*Antoine parameters adapted from Gmehling et al. See footnote 2, p. 791.
**Antoine parameters A are adjusted to reproduce the listed values of T.
Transcribed Image Text:CONFIDENTIAL APPENDIX 1 ЕНIFЕВ 2022/CHE553 Table B.2: Constant for the Antoine Equation for Vapor Pressure of Pure Species In P /kPa = A - [B/(T/K +C)) Latent heat of vaporization at the normal boiling point (A H,) and normal boiling point (7,) Parameters for Antoine Equation Temperange Range AH. Name в K kJ/mol K Formula A** From To 14.3145 2756.22 -45.090 247.15 350.15 29.10 329.35 Acetone Acetic acid Acetonitrile Benzene iso-Butane n-Butane 1-Butanol C2H4O2 15.0717 3580.80 C2H3N 14.8950 3413.10 13.7819 2726.81 13.8254 2181.79 297.15 415.15 23,70 391.05 354,75 -48.500 354.15 377.15 -22.627 246.15 30.19 279.15 190.15 200.15 -55.578 30.72 353.15 -24.280 280.15 21.30 261.25 292.15 411.15 22.44 272.65 CaHio CH100 15.3144 3212.43 C4H100 15.1989 3026.03 CHI00 14.6047 2740.95 C4H0 14.8445 2658.29 -34,361 -90.411 13.6608 2154.70 310.15 43.29 390.75 2-Butanol -86.650 298.15 393.15 40.75 372.65 380.95 401.15 374.15 iso-Butanol -106.480 303.15 41.82 95.500 283.15 39.07 355.45 teri-Butanol Carbon tetrachloride 259.15 374.15 29.82 35.19 349.75 CC4 C6HSCI 13.8635 3174.78 CH9CI 13.7965 2723.73 CHCI3 C6H12 14.0572 2914.23 -41.002 432.15 352.15 404,85 -61.450 -54.885 Chlorobenzene 302.15 30.39 351.65 334.25 1-Chlorobutane 256.15 -54.598 -52.532 250.15 357.15 29.24 29.97 Chloroform 13.7324 2548.74 378.15 344.15 13.6568 2723.44 282.15 353.85 Сyclohexane Cyclopentane n-Decane 13.9727 2653.90 -38.640 238.15 27.30 322.35 447.25 312.85 CioH22 13.9748 3442.76 CH;Cl2 13.9891 2463.93 CH100 14.0735 2511.29 C4HgO, 15.0967 3579.78 C20H42 144,575 4680.46 C2H60 16.8958 3795.17 13.9726 3259.93 -79.292 338.15 476.15 38.75 333.15 328.15 Dichloromethane -49.910 235.15 28.06 -41.950 26.52 Diethyl ether 1,4-Dioxane 307.55 374.45 230.15 -32.813 293.15 378.15 34.16 n-Eicosane Ethanol -141.050 481.15 652.15 57.49 616.75 -42.232 276.15 369.15 38.56 351.35 -60.850 306.15 436.15 35.57 409.35 Ethylbenzene Ethylene glycol n-Heptane 50.73 31.77 470.45 C2H6O2 15.7567 4187.46 CH16 CH14 -94.500 373.15 495.15 -56.718 -48.833 -33.650 -53.460 13.8622 2910.26 277.15 396,15 371.55 "-Нехаne 13.8193 2696.04 254.15 365.15 28.85 341.85 337.85 330.05 262.15 356.15 351.15 35.21 CHẠ0 C3H6O2 14.2456 2662.78 CHg0 14.1334 2838.24 CH3NO, 14.7513 3331.70 C9H20 CHIs CHI8 CSH12 C, He0 14.4387 3507.80 C3HgO 16.1154 3483.67 Methanol 16.5785 3638.27 250.15 30.32 Methyl acetate Methyl ethyl ketone Nitromethane n-Nonane iso-Octane 265.15 329.15 --54.460 376.15 31.30 352.75 419.15 451.15 -45.550 33.99 374.35 13.9854 3311.19 -70.456 319.15 36.91 423.95 13.6703 2896.31 13.9346 3123.13 -52.383 275.15 398.15 30.79 372.35 425.15 331.15 n-Octane -63.515 299.15 34.41 398.75 25.79 309.15 n-Pentane Phenol 13.7667 2451.88 --41.136 228.15 -97.750 --67.343 -53.540 481.15 46.18 41.44 353.15 454.95 293.15 389.15 370.35 1-Propanol 2-Propanol C3HgO 16.6796 3640.20 281.15 373.15 39.85 355.35 -55.525 409.15 33.18 383,75 373.15 Toluene 13.9320 3056.96 286.15 Water 16.3872 3885.70 -42.980 273.15 473.15 40.66 14.0415 3358.79 -61.109 313.15 445.15 36.24 417.55 o-Xylene m-Xylene p-Xylene 439.15 35.66 412.25 Calio CgHi0 14.0579 3331.45 14.1387 338181 -57.030 308.15 -58.523 308.15 439.15 35.67 411.45 Based primarily on data presented by B. E. Poling, J. M. Prausnitz and J. P. O'Connell, The Properties of Gases and Liquids, Sth ed., App. A. McGraw-Hill, New York, 2001. *Antoine parameters adapted from Gmehling et al. See footnote 2, p. 791. **Antoine parameters A are adjusted to reproduce the listed values of T.
Raoult's Law,
yP -
modified Raoult's Law,
y;P = x{Y,Pat
Flash calculation:
= 1
1+ V(K - 1)
- AHO.
AHa
AG°
298
+
RT
+
-dT -
RT
RT.
R T
The first integral,
ΔΒ
ΔC
1 aT- (4) (T-7.) +(72-75) + (7 -경) - AD ()
=
R
The 2nd integral,
`AG, dT
R T
AC
AD ( 1
1
= AAln
+ AB(T- T,) + 뜻(72-78)-(금
Excess Gibbs Energy,
GE
:= x,lny, + xzlnyz
RT
Activity coefficient for Van laar,
Iny = A12 (1+
-2
Inyz = A1(1+
Transcribed Image Text:Raoult's Law, yP - modified Raoult's Law, y;P = x{Y,Pat Flash calculation: = 1 1+ V(K - 1) - AHO. AHa AG° 298 + RT + -dT - RT RT. R T The first integral, ΔΒ ΔC 1 aT- (4) (T-7.) +(72-75) + (7 -경) - AD () = R The 2nd integral, `AG, dT R T AC AD ( 1 1 = AAln + AB(T- T,) + 뜻(72-78)-(금 Excess Gibbs Energy, GE := x,lny, + xzlnyz RT Activity coefficient for Van laar, Iny = A12 (1+ -2 Inyz = A1(1+
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