Chemical Eng. 140 Midterm Exam 2 Solution: Methanol Conversion & Reactive Distillation, Exams of Engineering Chemistry

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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2012/2013

Uploaded on 04/01/2013

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Chemical Engineering 140
Midterm Examination #2 Solution
1)
F1
F2
Dry air
0.21 O
2
0.79 N
2
MEOH/H
2
O
0.5 MEOH
0.5 H
2
O
Recycle F3
Recycle to feed ratio = 0.2
1.0 MEOH
AF4
Water
Methanol
O
2
N
2
MEOH/H
2
O
0.5 MEOH
0.5 H
2
O
MEOH
220
o
C
3.5 atm
MEOH
HCHO
DME
DMM
H2O
H2
PMM
F5
F4
F1
F2
Dry air
0.21 O
2
0.79 N
2
MEOH/H
2
O
0.5 MEOH
0.5 H
2
O
Recycle F3
Recycle to feed ratio = 0.2
1.0 MEOH
AF4
Water
Methanol
O
2
N
2
MEOH/H
2
O
0.5 MEOH
0.5 H
2
O
MEOH
220
o
C
3.5 atm
MEOH
HCHO
DME
DMM
H2O
H2
PMM
F5
F4
2a)
Reaction (1): CH3OH + 0.5 O2 HCHO + H2O
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 O2 reacted.
2b)
F3/F1 = 0.2 F3 = 20 mol
F4 = F1+F3 = 100+20 = 120 mol, F4 Composition: 70 mol MEOH, 50 mol H2O.
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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

n

[( 98. 2 228. 6 ) ( 2 * 161. 9 )]

K

K

J

kJ

mol K

J

mol

kJ

RT

G

LnK C

o o

2 2

2 1 2 2 1 2

2 1 2 2 3

2

( 70 10 2 )

[ ]

[ ][ ]

CHOH

DME HO

K

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.