1 2 3 4 5 6 7 8 9 ) Example 4.7-3: Methanol is produced in the reaction of carbon dioxide and hydrogen: CO₂ + 3H₂CH₂OH + H₂O DO The fresh feed to the process contains hydrogen, carbon dioxide, and 0.400 mole% inert (1). The reactor effluent passes to a condenser that removes essentially all of the methanol and water formed and none of the reactants or inert. The latter substances are recycled to the reactor. To avoid buildup of the inert in the system, a purge stream is withdrawn from the recycle. انجن The feed to the reactor (not the fresh feed to the process) contains 28.0 mole % CO₂ 70.0 mole% H₂, and 2.0 mole% inert. The single-pass conversion of hydrogen is 60.0%. Calculate the molar flow rates and molar compositions of the fresh feed, the total feed to the reactor, the recycle stream, and the purge stream for a methanol production rate of 155 kmol CH3OH/h. Solution Basis: 100 mol Combined Feed to the Reactor no(mol) Toc(mol CO₂/mol) (0.996-xoc) (mol H₂/mol) 0.00400 mol V/mol Overall System 7 Unknowns no, Xoc, N3, N4, np, XSC, XSH -5 balances اكل CO2, H2, I, CH3OH, H20 3 df n(mol) sc(mol CO₂/mol) SH(mol H₂/mol) (1-x5c-x5H) (mol I/mol) 100 mol 0.280 mol CO₂/mol 0.700 mol H₂/mol 0.020 mol I/mol Reactor 4 Unknowns Degree-of-Freedom Analysis n1, 12, 13, 14 - 4 balances REACTOR CO2, H2, CH3OH, H20 0 df (mol CO₂) n₂(mol H₂) 2.0 mol n3(mol CH3OH) na(mol H₂O) Condenser 3 Unknowns ns, XSC, XSH -3 balances CO2, H2, I 0 df mp(mol) sc(mol CO₂/mol) *5H(mol H₂/mol) (1-x5c-x5H) (mol I/mol) ng(mol) sc(mol CO₂/mol) TSH(mol H₂/mol) (1-x5c-x5H) (mol l/mol) CONDENSER Mixing Point 5 Unknowns no, Xoc n X5C, XSH -3 balances CO2, H2, I 2 df ng(mol CH3OH) ng(mol H₂O) Splitting Point 2 unknowns ny, np -1 balance 1 df

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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Esc
Tab
Caps
Ctrl
Shift
F1
da
dt
M.
da
M
d
d
de
d
F2
14
15
F3
1
2
3
4
5
6
10
11
12
13
7
8
9
F4
T
لنجيب
FS
Material Balance on the Chemical Reactors.
F6
Overall System
7 Unknowns
no, Xoc, N3, N4,
np, XSC, XSH
-5 balances
F7
CO2, H2, I,
CH3OH, H20
3 df
Dr. Amjed Ahmed
اكل
no(mol)
100 mol
Toc(mol CO₂/mol)
0.280 mol CO₂/mol
(0.996-roc) (mol H₂/mol) 0.700 mol H₂/mol
0.00400 mol l/mol
0.020 mol l/mol
Solution Basis: 100 mol Combined Feed to the Reactor
FB
&
Example 4.7-3: Methanol is produced in the reaction of carbon dioxide and hydrogen:
CO₂ + 3H₂ - CH₂OH + H₂O 001
The fresh feed to the process contains hydrogen, carbon dioxide, and 0.400 mole% inert (1).
The reactor effluent passes to a condenser that removes essentially all of the methanol and water
formed and none of the reactants or inert. The latter substances are recycled to the reactor. To
avoid buildup of the inert in the system, a purge stream is withdrawn from the recycle.
fo/
200-111
aroor x
nolessons inq-sleni2
The feed to the reactor (not the fresh feed to the process) contains 28.0 mole % CO₂ 70.0 mole%
H2, and 2.0 mole% inert. The single-pass conversion of hydrogen is 60.0%. Calculate the molar
flow rates and molar compositions of the fresh feed, the total feed to the reactor, the recycle
stream, and the purge stream for a methanol production rate of 155 kmol CH3OH/h.
Reactor
4 Unknowns
F9
n (mol)
xc(mol CO₂/mol)
*SH(mol H₂/mol)
(1-x5c-x5H) (mol l/mol)
n1, 12, 13, 14
.
- 4 balances
REACTOR
F10
(mol CO₂)
n₂(mol H₂)
2.0 mol I
Degree-of-Ereedom Analysis
(
#3(mol CH3OH)
na(mol H₂O)
Condenser
3 Unknowns
ns, XSC, XSH
-3 balances
CO2, H2, CO2, H2, I
CH3OH, H20
0 df
0 df
F11
PE
F12
CONDENSER
Home
np(mol)
x5c(mol CO₂/mol)
*5H(mol H₂/mol)
(1-x5c-x5H) (mol I/mol)
ng(mol)
xsc(mol CO₂/mol)
X5H(mol H₂/mol)
(1-x5c-x5H) (mol l/mol)
Mixing Point
5 Unknowns
End
Prve Son
no, Xoc n
XSC, XSH
-3 balances
CO2, H2, I
2 df
n3(mol CH3OH)
ng(mol H₂O)
Insert
ny, np
G
Splitting Point
2 unknowns
Bac
- 1 balance
1 df
2
15
Material Balanc
Solution Pre
Write b
splitting
Fowch
rate of
Reactor
We will
9
60% S
H₂ Be
CO₂
CH
10
H₂
11
Transcribed Image Text:Esc Tab Caps Ctrl Shift F1 da dt M. da M d d de d F2 14 15 F3 1 2 3 4 5 6 10 11 12 13 7 8 9 F4 T لنجيب FS Material Balance on the Chemical Reactors. F6 Overall System 7 Unknowns no, Xoc, N3, N4, np, XSC, XSH -5 balances F7 CO2, H2, I, CH3OH, H20 3 df Dr. Amjed Ahmed اكل no(mol) 100 mol Toc(mol CO₂/mol) 0.280 mol CO₂/mol (0.996-roc) (mol H₂/mol) 0.700 mol H₂/mol 0.00400 mol l/mol 0.020 mol l/mol Solution Basis: 100 mol Combined Feed to the Reactor FB & Example 4.7-3: Methanol is produced in the reaction of carbon dioxide and hydrogen: CO₂ + 3H₂ - CH₂OH + H₂O 001 The fresh feed to the process contains hydrogen, carbon dioxide, and 0.400 mole% inert (1). The reactor effluent passes to a condenser that removes essentially all of the methanol and water formed and none of the reactants or inert. The latter substances are recycled to the reactor. To avoid buildup of the inert in the system, a purge stream is withdrawn from the recycle. fo/ 200-111 aroor x nolessons inq-sleni2 The feed to the reactor (not the fresh feed to the process) contains 28.0 mole % CO₂ 70.0 mole% H2, and 2.0 mole% inert. The single-pass conversion of hydrogen is 60.0%. Calculate the molar flow rates and molar compositions of the fresh feed, the total feed to the reactor, the recycle stream, and the purge stream for a methanol production rate of 155 kmol CH3OH/h. Reactor 4 Unknowns F9 n (mol) xc(mol CO₂/mol) *SH(mol H₂/mol) (1-x5c-x5H) (mol l/mol) n1, 12, 13, 14 . - 4 balances REACTOR F10 (mol CO₂) n₂(mol H₂) 2.0 mol I Degree-of-Ereedom Analysis ( #3(mol CH3OH) na(mol H₂O) Condenser 3 Unknowns ns, XSC, XSH -3 balances CO2, H2, CO2, H2, I CH3OH, H20 0 df 0 df F11 PE F12 CONDENSER Home np(mol) x5c(mol CO₂/mol) *5H(mol H₂/mol) (1-x5c-x5H) (mol I/mol) ng(mol) xsc(mol CO₂/mol) X5H(mol H₂/mol) (1-x5c-x5H) (mol l/mol) Mixing Point 5 Unknowns End Prve Son no, Xoc n XSC, XSH -3 balances CO2, H2, I 2 df n3(mol CH3OH) ng(mol H₂O) Insert ny, np G Splitting Point 2 unknowns Bac - 1 balance 1 df 2 15 Material Balanc Solution Pre Write b splitting Fowch rate of Reactor We will 9 60% S H₂ Be CO₂ CH 10 H₂ 11
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