
19Introduction to Kinetics and Chemical Reactors
where
k: reaction rate constant
n: order of reaction
Taking unsteady-state molal balance of A around the batch reactor, we have
Rate of flow
of into
the reactor
Rate of flow
A
= oof out of
the reactor
Rateof conversion
of in the
A
+
A rreactor
Rateof accumulation
of in thereactor
+
A
(2.25)
Rateofconversion
of inthereactorA
=−
A
(2.26)
Rateofaccumulation
of inthereactorA
dC V
dt
V
dC
dt
()
(2.27)
Substituting Equations 2.26 and 2.27 in the general molal balance Equation 2.25, we have
−
=−
dC
dt
r
A
A
(2.28)
Solving Equation 2.28 for a specied rate expression, we can ...