
44 Green Chemical Engineering
The rates of change of concentrations of A, B and C in batch reactor are
kkC
A
A
=− +
12
(2.99)
kC
B
A
=
1
(2.100)
kC
c
A
=
2
(2.101)
Integrating Equation 2.99, we get
CCe
AA
kkt
=
−+
0
12
(2.102)
where C
A0
is the initial concentration of A. Substituting Equation 2.102 for C
A
in Equations
2.100 and 2.101 and integrating, we get
C
kk
e
B
A
kkt
=
+
−
−+
01
12
1
12
()
(2.103)
C
kk
e
C
A
kkt
=
+
−
−+
02
12
1
12
()
(2.104)
Variations of C
A
, C
B
and C
C
are shown in Figure 2.17.
C
AO
of A, B and C)
C
A
C
C
C
B
t
FIGURE 2.17
Variations of C
A
, C
B
and C
C
with time for parallel reaction
k
1
k
2
.