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Fundamentals of Reaction Engineering ­
Examples
Rafael Kandiyoti
Download free books at
Rafael Kandiyoti
Fundamentals of Reaction Engineering
Worked Examples
Download free eBooks at bookboon.com
2
Fundamentals of Reaction Engineering – Worked Examples
© 2009 Rafael Kandiyoti & Ventus Publishing ApS
ISBN 978-87-7681-512-7
Download free eBooks at bookboon.com
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Fundamentals of Reaction Engineering – Worked Examples
Contents
Contents
Chapter I:
Chapter II:
Chapter III:
Chapter IV:
Homogeneous reactions – Isothermal reactors
Homogeneous reactions – Non-isothermal reactors
Catalytic reactions – Isothermal reactors
Catalytic reactions – Non-isothermal reactors
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Fundamentals of Reaction Engineering – Worked Examples
I. Homogenepus reactions - Isothermal reactors
Worked Examples - Chapter I
Homogeneous reactions - Isothermal reactors
Problem 1.1
Problem 1.1a:
For a reaction
A B
(rate expression:
r
A
= kC
A
) , taking place in an isothermal tubular
reactor, starting with the mass balance equation and assuming plug flow, derive an expression for calculating
the reactor volume in terms of the molar flow rate of reactant ‘A’.
Solution to Problem 1.1a:
Assuming plug flow, the mass balance over a differential volume element of
a tubular reactor is written as:
(M
A
n
A
)
V
Taking the limit as
V
R
0
- (M
A
n
A
)
V+
V
-
M
A
r
A
V
R
= 0
n
Ae
n
A0
dn
A
dV
R
r
A
0
;
r
A
dn
A
;
V
R
dV
R
dn
A
r
A
Problem 1.1b:
If the reaction is carried out in a tubular reactor, where the total volumetric flow rate 0.4 m
3
s
-1
, calculate the reactor volume and the residence time required to achieve a fractional conversion of 0.95.
The rate constant k=0.6 s
-1
.
Solution to Problem 1.1b:
The molar flow rate of reactant “A” is given as,
n
A
Also
n
A
C
A
v
T
. The rate is then given as
r
A
n
A0
( 1 x
A
)
.
kn
A
. Substituting,
kC
A
v
T
x
Ae
0
V
R
v
T
k
n
Ae
n
A0
dn
A
n
A
v
T
k
n
A0
dx
A
n
A0
( 1 x
A
)
v
T
k
x
Ae
0
dx
A
( 1 x
A
)
V
R
V
R
v
T
m
3
m s
3
1
v
T
ln( 1 x
Ae
) 2 m
3
k
s
;
In plug flow the residence time is defined as
2 / 0.4
5 s
Problem 1.2
The gas phase reaction A 2S is to be carried out in an isothermal tubular reactor, according to the rate
expression r
A
= k C
A
. Pure A is fed to the reactor at a temperature of 500 K and a pressure of 2 bar, at a rate of
1000 moles s
-1
. The rate constant k= 10 s
-1
. Assuming effects due to pressure drop through the reactor to be
negligible, calculate the volume of reactor required for a fractional conversion of 0.85.
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