
349Heterogeneous Reactors
where C
Ae
and C
Be
are the equilibrium concentrations of A and B, respectively. Writing
Equation 4.183 in terms of equilibrium constant K, we have
()−= −
rkC
B
1
(4.185)
The total molal concentration of A and B is constant, as for every 1 mole of A reacted 1
mole of B is formed. Thus
(4.186)
(4.187)
Substituting Equation 4.187 for C
B
into Equation 4.185, we get
()
()
−=
−r
kK
Ae
1
1
(4.188)
Substituting this specic reaction rate Equation 4.188 into the molal balance Equation
4.155 derived for a spherical catalyst pellet, we get
dC
dC
K
CC
AA
p
AAe
2
1
21
0+−
(4.189)
Substituti ...