ChE 101 – Chemical Reaction Engineering
Winter 2014
Homework #7
Due Tuesday, March 4, 2014 in class
Read Schmidt, Chapters 5 and 10
NOTE:
Please list
all of your assumptions
and cite any external sources used when solving
each problem.
1)
Computational Problem of the Week:
Allyl chloride is to be produced in a 25-ft long, 2-in
ID tube operating as a PFR. The feed is a 4:1 molar ratio of propylene to chlorine and it
enters at a feed rate of 0.85 lbmol/hr, 2 atm of pressure, and
392
𝑜𝑜
𝐹𝐹
. The reactor pressure
may be assumed constant.
𝐶𝐶𝑙𝑙
2
+
𝐶𝐶
3
𝐻𝐻
6
𝑘𝑘
1
→ 𝐶𝐶
3
𝐻𝐻
5
𝐶𝐶𝑙𝑙
+
𝐻𝐻𝐶𝐶𝑙𝑙
𝐶𝐶𝑙𝑙
2
+
𝐶𝐶
3
𝐻𝐻
6
𝑘𝑘
2
→ 𝐶𝐶
3
𝐻𝐻
6
𝐶𝐶𝑙𝑙
2
The rate coefficients have units of lbmol/(hr ft
3
atm
2
) and are:
𝑘𝑘
1
= 2.06
𝑥𝑥
10
5
𝑒𝑒𝑥𝑥𝑒𝑒 �−
27200
𝑅𝑅𝑅𝑅
�
𝑘𝑘
2
= 11.7
𝑒𝑒𝑥𝑥𝑒𝑒 �−
6860
𝑅𝑅𝑅𝑅
�
in which T is in
o
R and the gas constant R is 1.986 BTU/(lbmol
o
R).
The rate expressions are:
𝑟𝑟
1
=
𝑘𝑘
1
𝑃𝑃
𝐶𝐶
3
𝐻𝐻
6
𝑃𝑃
𝐶𝐶𝑙𝑙
2
𝑟𝑟
2
=
𝑘𝑘
2
𝑃𝑃
𝐶𝐶
3
𝐻𝐻
6
𝑃𝑃
𝐶𝐶𝑙𝑙
2
The thermodynamic data for this reaction are listed in the following table:
Component
A
B x 10
2
C x 10
5
D x 10
9
𝐶𝐶𝑙𝑙
2
6.432
0.8082
-0.9241
3.695
𝐶𝐶
3
𝐻𝐻
6
0.866
5.602
-2.771
5.266
𝐶𝐶
3
𝐻𝐻
5
𝐶𝐶𝑙𝑙
0.604
7.277
-5.442
17.42
𝐻𝐻𝐶𝐶𝑙𝑙
7.235
-0.172
0.2976
-0.931
𝐶𝐶
3
𝐻𝐻
6
𝐶𝐶𝑙𝑙
2
2.496
8.729
-6.219
18.49
Δ𝐻𝐻
𝑟𝑟1
-26,690 cal/mol (assumed to be constant)
Δ𝐻𝐻
𝑟𝑟2
-44,080 cal/mol (assumed to be constant)

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