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Solutions to midterm examination #2 for chemical engineering 140 students, focusing on methanol conversion and reactive distillation processes. It includes calculations for molar balances, reaction stoichiometry, and selectivity analysis.
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Chemical Engineering 140
Midterm Examination #2 Solution
F
F
Dry air 0.21 O (^2) 0.79 N 2
MEOH/H 2 O 0.5 MEOH 0.5 H 2 O
Recycle F Recycle to feed ratio = 0. 1.0 MEOH
A F
Water
Methanol O (^2) N 2 MEOH/H 2 O 0.5 MEOH 0.5 H 2 O
MEOH
220 oC
3.5 atm
MEOH
HCHO DME
DMM H2O
H
PMM
F
F
F
F
Dry air 0.21 O (^2) 0.79 N 2
MEOH/H 2 O 0.5 MEOH 0.5 H 2 O
Recycle F Recycle to feed ratio = 0. 1.0 MEOH
A F
Water
Methanol O (^2) N 2 MEOH/H 2 O 0.5 MEOH 0.5 H 2 O
MEOH
220 oC
3.5 atm
MEOH
HCHO DME
DMM H2O
H
PMM
F
F
2a)
Reaction (1): CH 3 OH + 0.5 O 2 HCHO + H 2 O
Basis: F1= 100 mol
HCHO = 10 mol
Dry air introduced into the MEOH converter = F2 = 2*F1=200 mol.
O2 in = 200 mol (0.21)= 42 mol
10 mol of HCHO formed, 0.5 (10) = 5 mol of O 2 reacted.
2b)
F3/F1 = 0.2 F3 = 20 mol
F4 = F1+F3 = 100+20 = 120 mol, F4 Composition: 70 mol MEOH, 50 mol H2O.
2 2 1 2 1 2
2 2
2 2
1 1
1 1
1 2 1 2
2 2
H O H Oin
N Nin
DME DMEin
HCHO HCHOin
O O
MEOH MEOHin
n n
n n
n n
n n
n n
n n
in
1
Total
kJ
mol K
mol
kJ
LnK C
o o
2 2
2 1 2 2 1 2
2 1 2 2 3
2
( 70 10 2 )
2c) Solve for ξ 2
2
2
2
2
H O
N
DME
HCHO
O
MEOH
n
n
n
n
n
n
2
2
2
H O
N
DME
HCHO
O
MEOH
y
y
y
y
y
y
2d) mol DME/mol MEOH = 17.3/(50+20) = 0.