Page 321 - Elements of Chemical Reaction Engineering 3rd Edition
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Sec. 6.2 Maximizing the Desired Product in Series Reactions 293
d. Integrating with C, = CA0 at W = 0 gives us
(Eti-3.3)
2. Mole balance on 3:
(E6-3.4)
a. Rate law (net):
(Et;-3.5)
b. Stoichiometry:
c. Combining yields
(E6-3.6)
Substituting for C, and rearranging, we have
dC, + k2CB = k,CAoe-kl"'
dz
d. Using the integrating factor gives us
d(CBe+k2i') - e(k2-k,)r'
dz'
- 1 A0
At the entrance to the reactor, W = 0, T' = W/u, = 0, and CB = 0. Integrat-
ing, we get
cB = klCAO ( e-ki2 I ;ekZT') (E6- 3.7)
The concentrations of A, B, and C are shown in Figure E6-3.1.
There is a space
time at which B is a 0
maximum
Figure E6-3.1
