
140 Green Chemical Engineering
TABLE 3.1
Design Equations for Ideal CSTR and Ideal PFR
Reaction Type
Ideal CSTR Ideal PFR
Equation for τ Equation for X
Af
Equation for τ Equation for X
Af
First-order irreversible reaction
C
k
→
−=
,
τ=
−
1
1k
X
X
Af
Af
X
k
k
Af
=
+
τ1
τ=
−
1
Af
ln
Af
k
=−
−
1
τ
Second-order irreversible reaction
C
k
→
−=
,
2
τ=
−
1
1
2
kC
X
X
AO
Af
Af
X
kC kC
kC
Af
A
=
+−+12 14
2
0
τ
τ=
−
1
1
0
kC
X
X
A
Af
Af
X
kC
Af
A
A
=
+
τ
0
0
1
nth-order irreversible reaction
C
k
n
→
−=
τ=
−
−
1
1
0
1
kC
X
X
A
n
Af
Af
n
—
τ=
−
1
1
1
1
1
0
()
ln
()nk
A
n
Af
n
—
Reversible rst-order reaction
rk
C
k
AAB
2
1
−
τ=
=
+
=
K
kK
x
k
kK
K
K
k
k
Ae
Ae Af1
1
1
1
1
()
ln
()
Xx