PROBLEM 2
a) What are the Thiele modulus ( 1 ) and the effectiveness factor () under the conditions of the reactor
inlet? Based on the values, what regime are we in?
This is a first order reaction so we can use the equations for provided by Fogler in Chap

CBE 142 Homework #13
Due: December 11th, 2014
Problem 1
Ercan et al. studied the alkylation of ethylbenzene with light olefins (ethylene and propylene) over a
spherical commercial zeolite Y catalyst in a fixed-bed reactor with recycle [C. Ercan, F. M.
Dau

Problem2
AandB.
C.
Polymath Input and Output for Problem 3
Part (a)
Input for CSTR 1 (NLE Solver):
f(X1) = V - Fao*(X1-X0)/(-rA)
X1(min) = 0
X1(max) = .99
X0 = 0
rA = -kmax*Cao*(1-X1)/(Km+Cao*(1-X1)
kmax = 2.8
Km = 14
Fao = 6.25
vo = 8.7
Cao = Fao/vo
V =

Problem 1 Solution.
If you used the alternate method, your plot will look like this
Problem2Solution.
Problem 3 Solutions.
Part (a,i):
Input to Polymath (ODE Solver):
d(Na) / d(t) = rA*V
Na(0) = 50
d(Nb) / d(t) = rB*V
Nb(0) = 50
d(Nc) / d(t) = rC*V
Nc(0)

Homework Set #1
CHM ENG 142
Due Date: 7 September 2010
Problem 1.
Consider the design equations for the (a) batch reactor, (b) CSTR, and (c) PFR. (i) What
assumptions are used to derive these equations? (ii) How do these assumptions simplify
the general m

Homework Set #12
CHM ENG 142
Due Date: 9 December 2010
Problem 1.
A gas-phase first-order reaction:
AB
with
-rA = krCA
occurs within a very large spherical pellet. Assume that external (boundary layer) mass
transport limitations are negligible. There is n

Homework Set #7
CHM ENG 142
Due Date: 26 October 2010
Problem 1.
Plot X() vs. T for an adiabatic, liquid-phase CSTR where the elementary reaction A
products occurs, for = 0.6 min, 1.2 min, and 1.8 min, given:
C Ao = 1.85 mol L-1
T o = 300 K
H rxn = -20 k

Homework Set #11
CHM ENG 142
Due Date: 2 December 2010
Problem 1.
The irreversible reaction, A B, is taking place in the isothermal porous catalyst slab
shown in the figure below. The reaction is zero-order in A.
a. Use a mole balance on the slab to show

Homework Set #10
CHM ENG 142
Due Date: 23 November 2010
Problem 1.
Decomposition of stibine was the first case of heterogeneous catalyst kinetics reported in
the literature in 1907 by Stock and Bodenstein. The overall vapor phase reaction is:
SbH 3 Sb + 3

Homework Set #8
CHM ENG 142
Due Date: 2 November 2010
Problem 1.
The first-order irreversible exothermic liquid-phase reaction, A B, is to be carried out
in a jacketed CSTR. Species A and an inert I are fed to the reactor in equimolar amounts.
The molar f

Homework Set #4
CHM ENG 142
Due Date: 30 September 2010
Problem 1.
a. Derive the rate law in terms of enzyme concentration for the following series of
elementary steps for the general enzymatic reaction EP:
b. You work for a pharmaceutical company that mo

Homework Set #2
CHM ENG 142
Due Date: 14 September 2010
Problem 1.
Consider the exothermic, adiabatic reaction where we define the reaction event as:
A + B C + D with the following data recorded:
X
-r A (mol dm-3
min-1)
0
2.00
0.20
2.73
0.40
4.29
0.60
10

ASSMWXQ'. '
I. No mamme mass hemsﬁx reia‘s’ramca Cm; C443
3. mo mmng W Womst T0): T3
8. No TOWWCL an prom/MS WW Kr.
Li W K”
O“ 53m” wiﬂn om any?” Web
(mm 06 vmcﬂ CG» Z rA\°bSewad ' G MM”) 'Vimvh‘uc
(TVTR 5 *ﬂ'KrCTSB‘QAg'ANm [£39161
%\A\os°h‘ru\{ Kr

Plot
sola
Plot
Plot
600
550
TNDSolve 0
t
. sola, t, 0, 2 60
X t
. sola, t, 0, 2 60 , PlotRange All
V
V
10
1 X' t
X t X .t
sola, ' t, 0, 2 1 X t cpa
60
Hr
T t
v
v
Ea
1
1
1 X t
X t
k Exp
V
R
T t
300
v
T 0
500
R
450 T
t
X t
273.15
2, T0
25
273.15
. cpa
50, V

Problem 3
1st order reaction: decay of radioactive elements.
0th order reaction: reactions where all of the catalytic sites are occupied at all times.
negative order reaction: Inhibitors in a catalytic reaction or product that adsorb strongly to the
activ

Fe , Wﬁ a (Q4‘w‘3 “J W 55> W.
M095 Eiévtﬂwm {ha f A > ﬁr Page? ,.A BY ~. W W O;
{M VVNLJ‘QM V Km
(7
{Vm/Y) 13m ' 0n.» CE, {‘1} w! (in C4 L 0.x” “MW L {mem M
www,W
{m f _ I W,Ww a: [email protected],
K 0%?“ p4 Aa4‘vagL WE WW3 , I,
W '” In kg) N M R )3 ﬂ WJMWW

Part(a)
X axis time (in all the graphs)
Conversion Vs Time
0.3
0.25
0.2
0.15
0.1
0.05
0
0
2
4
6
8
10
12
10
12
Temperature Vs time
600
500
400
300
200
100
0
0
2
4
6
8
0.14
0.12
0.1
0.08
Ca
Cb
0.06
Cc
0.04
0.02
0
0
2
4
6
8
10
12

Chemical and Bimolecular Engineering 142
Problem Set # 10
Due 11/22/11
1. A first-order heterogeneous irreversible reaction is occurring within a porous spherical
catalyst pellet, which is plated with platinum throughout the pellet. The reactant
concentra

Chemical and Biomolecular Engineering 142
Problem Set # 11
Due 12/06/11
Problem 1
The first order, endothermic, liquid phase reaction A B is carried out in an adiabatic CSTR consisting of
a stirred slurry of catalyst particles. This reaction takes place i

Chemical and Bimolecular Engineering 142
Problem Set # 2
Due 9/13/11
1) You are a process engineer in an EPC firm and your job is to optimize the cost of production by
using your knowledge of reactor engineering. In your plant, you need to install a new r

Chemical and Bimolecular Engineering 142
Problem Set # 1
Due 9/6/11
1.
The liquid phase reaction 2A B + 2C is to be carried out isothermally in a continuous flow
reactor running at steady state. The volumetric flow rate is constant at 5 L h-1 and entering

General Design Equation
Rate of generation
General species i equation
BSTR
General Equation (well-mixed)
Constant V = Vo
In terms of xj
CSTR
General (@S.S. & well-mixed)
If v o = v (liquid phase)
In terms of xj
Multiple CSTR
PFR
General (@S.S. & assump.)

N N j
N
dNj
X = j ,0
=1 j N j , c j =N j , 0 , c j ,0 (1X ) F jo F j= X j F jo
N j,0
N j, 0
dt
'
'
r j =mol j formed /time /mass of surface r j =mol j formed /time /area of surface
BSTR
CSTR
PFR
dNj
M.B
F joF j + r j dV =0
F j , zF j , z + z+ r j dV =0
=r