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134 3. Heterogeneous Processes and Reactor Analysis

V x
L B (3.245)
C F r ( )
BG,i B,i uB
where
( r )
( r uB ) uA (3.246)
a
V
L (3.247)
Q
G,i

and x is the conersion of the reactants. Note that the aboe equation is based on the v v v ol-
ume of bubble-free liquid. The conersion can be expressed in terms of the gas-flow rate v
(Smith, 1981):
QC Q C
x G,i G,i G,o G,o (3.248)
QC G,i G,i

where Q G,i and Q G,o is the inlet and outlet gas-flow rate, respecti A as the limiting . F or v ely
reactant and by analogy to the volume change in batch reactors (eq. (3.92)),
Q Q (1 x ) (3.249)
G,o G,i R A
while (as for moles in batch reactors)

F F x (1 ) (3.250)
A,o A,i A
for the general case of 0,
R
1 x A
C A,o C A,i (3.251)
1 R x A
or
C G, o
1
C G, i C G,i C G,o
x A (3.252)
1 C G, o C G,i C G,o
R
R
C G, i
for 0 (Levenspiel, 1972),
R
C A,o C A,i x (1 ) (3.253)
A

C C
x G,i G,o (3.254)
A
C G,i