Page 330 - Modeling of Chemical Kinetics and Reactor Design

300 Modeling of Chemical Kinetics and Reactor Design

Example 5-6
Consider the reaction scheme



A←→  → C
k 1
k 3
B
k 2
k 5 k 4 (5-115)

D

in a constant volume batch reactor under isothermal conditions, and
–1
–1
–1
with the rate constants k = 0.4 hr , k = 0.1 hr , k = 0.16 hr ,
3
2
1
–1
–1
k = 0.08 hr , and k = 0.13 hr . The original compositions in the
4
5
batch are:
C = 7 gmol/l
A
C = 2.0 gmol/l
B
C = 0 gmol/l
C
C = 0.5 gmol/l
D
Determine the concentrations of each component as a function of
time for 2 hours. 1
Solution

From the reaction scheme, it can be assumed the rate equations are
first order. The rate of disappearance of component A is:

− ( r A ) net =− dC A = kC A − k C B (5-116)
2
1
dt
The rate of disappearance of component B is:

1 D. M. Himmelblau and K. B. Bischoff, Process Analysis & Simulation-Deterministic Systems,
John Wiley, 1968.