
245Homogeneous Reactors
For a rst-order reaction
k
→ , with rate equation (−r
A
) = kC
A
,
Ab
k
()θ
θ
=−
−
1
(3.395)
And for a second-order reaction
k
→ , with rate equation (−r
A
) = kC
A
2
,
x
kC
kC
Ab
A
A
()θ
θ
=
+
0
0
1
(3.396)
Given the RTD E(θ) for the reaction vessel obtained from the tracer test, the conversion in
the segregated ow reactor X
As
is calculated as the average of conversions achieved in all
the uid elements leaving the reaction vessel at any particular time, that is
xxEd
As Ab
=
∞
∫
()()
θθθ
0
(3.397)
This equation is used for calculating conversion X
As
in a segregated ow reactor with no
micro-mixing. If X
Am
is the conversion in a reactor assu ...