Series Reactions in a CSTR with Time-Varying Input
Series Reactions in a CSTR with Time-Varying Input
Consider the following series reaction taking place in a CSTR (continuous stirred-tank reactor): . No chemical species (, , or ) are initially present in the reactor. The reactor is fed with only species at the time-varying feed rate =1+sin(2t).
ABC
k
1
→
k
2
→
A
B
C
A
c
A
in
The governing equations, obtained from material balances, are
d
c
A
dt
1
τ
c
A
in
c
A
k
1
c
A
d
c
B
dt
-1
τ
c
B
k
1
c
A
k
2
c
B
d
c
C
dt
-1
τ
c
C
k
2
c
B
where is time, is the reactor's residence time, and and are rate constants equal to and , respectively.
t
τ
k
1
k
2
1
0.25
This Demonstration plots the concentration of all three species versus time for user-set values of . The blue, magenta, and brown curves correspond to species , , and , respectively.
τ
A
B
C