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132 3. Heterogeneous Processes and Reactor Analysis

Gas reactant (volatile component) liquid-phase mass balance:

Q C  
L G,o
C ( L,i C L,o ) K a ( L GL )  C L,o  ( k a )( c C L,o C S ) 0 (3.235)
f
V L  H 
Gas-phase mass balance:

Q G C  G,o 
C ( G,i C G,o ) K a GL )  C L,o  0 (3.236)
(
L
V  H 
L
Component mass balance around the catalyst:

( ka )C C ( r ) (3.237)
f c L,o S u

where the subscripts (o) and (i) denotes outlet and inlet conditions, respecti ely . v
These material balances should be written for all reactants wherever applicable. In the fol-
lowing, some common cases will be e xamined.
Gas–liquid reactions and continous flow of both phases
General case Consider the reaction of the form

a A( B(l)
g)
products

In this case, the material balance (3.234) is applicable only for B, while material balances
(3.235) and (3.236) are applicable only for A.
Nonvolatile component liquid-phase mass balance:

Q L
C ( BL,i C BL,o ) f k a( BL,o C) ( BS C ) 0 (3.238)
c B
V
L
Volatile component liquid-phase mass balance:

Q L C  AG,o 
C ( AL,i C ) L K a ( )  C AL,o 
AL,o
GL A
V L  H A  (3.239)
ka ( f c A C ) ( AL, o o C AS ) 0
Gas-phase mass balance:

Q C  
G AG,o
C ( AG,i C ) L K a )  C AL,o  0 (3.240)
(
GL A
AG,o
V L  H A 