Page 231 - Modeling of Chemical Kinetics and Reactor Design

Reaction Rate Expression 201

C AO − C A = 0 45 − 0 2475 = 045
.
.
.
C 045
.
AO
Therefore, the time t at which the rate reaches the maximum is:
 θ + X 
A
ln  B − X )

 θ
t = B(1 A
kC ( + C )
1 AO BO
.
 01 + . 045 
ln  ) 
=  . 01 (1 − . 0 45
( . 0 62 0 )
)( .495

 .055 
ln  
= . 0 055
. 3 069

= 075hr (45min )
.

3
The type of optimum reactor that will process 200 m /hr is a con-
tinuous flow stirred tank reactor (CFSTR). This configuration operates
at the maximum reaction rate. The volume V of the reactor can be
R
determined from the design equation:

t = V R
u

where V = volume of the reactor
R
u = volumetric flow rate of the fluid
t = mean residence time of the fluid

Therefore, the volume V = t • u
R
= 0.75 × 200
= 150 m 3