CONVERSION AND REACTOR SIZING

For a constant volume batch reactor: (V = V 0)
1 dN
⋅
V dt
0
dC
dt
A
A
d ( N A / V0
) dC
=
=
dt dt
= r
A
dt = N
t = N
A0
A0
dX
⋅
− r ⋅V
A
A
From [3]
Constant volume batch
reactor
From [5]
X
dX
Batch time, t, required
⋅ ∫ to achieve a
− r rA
⋅ V
0 conversion X.
Flow Reactor Design Equations:
X
As t X
For continuous-flow systems, time usually increases with increasing reactor
volume.
F
F
A0
A0
inlet molar
flow rate
F
F
moles of A fed moles of A reacted
⋅ X =
⋅
time moles of A fed
A
− F
A 0
=
A0
=
F
⋅ X = F
A
Outlet flow rate
Molar flow rate at which A is
consumed within the system
A 0
C
A 0
moles /volume
⋅ ( 1 −
⋅ v
0
X
)
volume / time (volumetric flow rate, dm 3 /s)
t
4