
175Homogeneous Reactors
reaction
with rate equation
carried out in a batch reactor. Inserting
the Arrhenius law into the rate equation, the rate as a function of conversion X
A
and tem-
perature T is expressed as
rx TkeCx
AA
AO A
(,
)
0
1
(3.100)
The rate increases with an increase in temperature. However, with an increase in the
conversion of Ax
A
, the concentration of A would decrease and hence the rate would
decrease. The progression of rate with time in the batch reactor is shown in Figure 3.22 for
exothermic and endothermic reactions. For an endothermic reaction, with the progression
of time, the conversion x
A