Ethanol is produced commercially by the hydration of ethylene C2H4(g) + H2O(v) → C2H5OH (v) Some of the product is converted to diethyl ether in the undesired side reaction 2C2H5OH(v) ↔(C2H5)2O(v) + H2O(v) The combined feed to the reactor contains 53.7mole% C2H4, 36.7% H2O and balance nitrogen which enters the reactor at 310°C. The reactor operates isothermally at 310°C. An ethylene conversion of 5% is achieved, and the yield of ethanol (moles ethanol produced/mole ethylene consumed) is 0.9. Calculate the reactor heating or cooling requirement in kJ/mol feed

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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Ethanol is produced commercially by the hydration of ethylene
C2H4(g) + H2O(v) → C2H5OH (v)
Some of the product is converted to diethyl ether in the undesired side reaction
2C2H5OH(v) ↔(C2H5)2O(v) + H2O(v)
The combined feed to the reactor contains 53.7mole% C2H4, 36.7% H2O and balance nitrogen
which enters the reactor at 310°C. The reactor operates isothermally at 310°C. An ethylene
conversion of 5% is achieved, and the yield of ethanol (moles ethanol produced/mole ethylene
consumed) is 0.9. Calculate the reactor heating or cooling requirement in kJ/mol feed.

C, (NO)=29.5x10-3 +0.8188x10-s T -0.2925x10-8T2+0.3653x10-12T3
[kJ/molK]
AHE (kJ/mol)
NH3
-46.19
NO
90.37
C, (kJ/molK)
34.31 x10-3+ 5.469x10-ST+0.3661x10-8T2-11x10-12T3
29.1 x10-3+ 1.158x10-5T-0.6076x10-8T2+1.311 x10-12T3
29 x10-3+ 0.2199x10-ST+0.5723x10-8T2-2.871 x10-12T3
AHº (kJ/mol)
CH4
T(°C)
T(°C)
T(°C)
T(°C)
T(°C)
T(°C)
T(°C)
T(°C)
T(°C)
-74.85
02
N2
НСНО
-115.9
34.28 x10-3+ 4.268x10-5T-8.694x10-12T3
CO2
-393.5
36.11x10-3 + 4.233x10-5T-2.887x10-8T2
H20(v)
-241.83
33.46 x10-34 0.6880x10-ST+0.7604x10-8T2-3.593x10-12T3
C2H5OH
-235.31
61.34 x10-3+ 15.72x10-ST-8.749x10-8T²+19.83x10-12T3
CH3CHO
-166.2
0.05048+ 1.326X104T-8.050x10$T²+2.380 x10-11T³
H2
28.84x10-3+0.00765x10-5T+0.3288x10-8T2-0.8698x10-12T3
C7H16
-187.8
0.2427
C6HSCH3
50
94.18 x10-3+ 38x10-5T-27.86x10-8T2+8.033x10-12T3
T(°C) |
(C2H5)20(1)
-272.8
0.08945+ 40.33x10-5T-2.244x10-7T2 T(°C)_
C2H4
52.28
40.75 x10-3+ 11.47x10-5T-6.891x10-8T2+17.66x10-12T3
C2H40
-51
-4.69+0.2061T-9.995X10-ST²
(J/molK)
T(K)
H20(1)
-285.84
Heat of vaporization of diethylether =26.05 kJ/mol
Table B.8 Specific Enthalpies of Selected Gases: SI Units
À(kJ/mol)
Reference state: Gas, Pret = 1 atm, Tref = 25°C
Air
co
CO:
H;O
-0.72
-0.73
-0.73
-0.72
-0.73
-0.92
-0.84
25
0.00
0.00
0.00
0.00
0.00
0.00
0.00
2.19
2.19
2.16
2.54
6.01
9.57
13.23
100
2.24
2.19
2.90
200
5.15
5.31
8.47
5.13
5.06
5.16
7.08
300
8.17
8.12
7.96
8.17
11.58
400
11.24
11.72
11.15
10.89
11.25
16.35
500
14.37
15.03
14.24
13.83
14.38
21.34
17.01
600
17.55
18.41
17.39
16.81
17.57
26.53
20.91
20.59
23.86
27.19
30.56
19.81
22.85
700
20.80
21.86
20.82
31.88
24.92
29.05
33.32
37.69
800
24.10
25.35
24.13
37.36
900
27.46
25.93
28.89
32.47
27.49
42.94
1000
30.86
29.04
30.91
48.60
1100
34.31
36.07
33.99
32.19
34.37
54.33
42.18
35.39
37.81
41.34
1200
39.70
37.46
37.87
60.14
46.78
1300
43.38
47.07
40.97
38.62
41.40
65.98
51.47
56.25
61.09
1400
44.89
44.51
41.90
44.95
71.89
1500
48.45
50.77
48.06
45.22
48.51
77.84
Transcribed Image Text:C, (NO)=29.5x10-3 +0.8188x10-s T -0.2925x10-8T2+0.3653x10-12T3 [kJ/molK] AHE (kJ/mol) NH3 -46.19 NO 90.37 C, (kJ/molK) 34.31 x10-3+ 5.469x10-ST+0.3661x10-8T2-11x10-12T3 29.1 x10-3+ 1.158x10-5T-0.6076x10-8T2+1.311 x10-12T3 29 x10-3+ 0.2199x10-ST+0.5723x10-8T2-2.871 x10-12T3 AHº (kJ/mol) CH4 T(°C) T(°C) T(°C) T(°C) T(°C) T(°C) T(°C) T(°C) T(°C) -74.85 02 N2 НСНО -115.9 34.28 x10-3+ 4.268x10-5T-8.694x10-12T3 CO2 -393.5 36.11x10-3 + 4.233x10-5T-2.887x10-8T2 H20(v) -241.83 33.46 x10-34 0.6880x10-ST+0.7604x10-8T2-3.593x10-12T3 C2H5OH -235.31 61.34 x10-3+ 15.72x10-ST-8.749x10-8T²+19.83x10-12T3 CH3CHO -166.2 0.05048+ 1.326X104T-8.050x10$T²+2.380 x10-11T³ H2 28.84x10-3+0.00765x10-5T+0.3288x10-8T2-0.8698x10-12T3 C7H16 -187.8 0.2427 C6HSCH3 50 94.18 x10-3+ 38x10-5T-27.86x10-8T2+8.033x10-12T3 T(°C) | (C2H5)20(1) -272.8 0.08945+ 40.33x10-5T-2.244x10-7T2 T(°C)_ C2H4 52.28 40.75 x10-3+ 11.47x10-5T-6.891x10-8T2+17.66x10-12T3 C2H40 -51 -4.69+0.2061T-9.995X10-ST² (J/molK) T(K) H20(1) -285.84 Heat of vaporization of diethylether =26.05 kJ/mol Table B.8 Specific Enthalpies of Selected Gases: SI Units À(kJ/mol) Reference state: Gas, Pret = 1 atm, Tref = 25°C Air co CO: H;O -0.72 -0.73 -0.73 -0.72 -0.73 -0.92 -0.84 25 0.00 0.00 0.00 0.00 0.00 0.00 0.00 2.19 2.19 2.16 2.54 6.01 9.57 13.23 100 2.24 2.19 2.90 200 5.15 5.31 8.47 5.13 5.06 5.16 7.08 300 8.17 8.12 7.96 8.17 11.58 400 11.24 11.72 11.15 10.89 11.25 16.35 500 14.37 15.03 14.24 13.83 14.38 21.34 17.01 600 17.55 18.41 17.39 16.81 17.57 26.53 20.91 20.59 23.86 27.19 30.56 19.81 22.85 700 20.80 21.86 20.82 31.88 24.92 29.05 33.32 37.69 800 24.10 25.35 24.13 37.36 900 27.46 25.93 28.89 32.47 27.49 42.94 1000 30.86 29.04 30.91 48.60 1100 34.31 36.07 33.99 32.19 34.37 54.33 42.18 35.39 37.81 41.34 1200 39.70 37.46 37.87 60.14 46.78 1300 43.38 47.07 40.97 38.62 41.40 65.98 51.47 56.25 61.09 1400 44.89 44.51 41.90 44.95 71.89 1500 48.45 50.77 48.06 45.22 48.51 77.84
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