Page 316 - Modeling of Chemical Kinetics and Reactor Design

286 Modeling of Chemical Kinetics and Reactor Design

The time t max at which the concentration of the intermediate (glu-
conolactone) is maximized and the maximum concentration glucono-
lactone (C ) have already been reviewed in Chapter 3. The simulation
L max
of this reaction is reviewed in Chapter 11.

SIMULTANEOUS IRREVERSIBLE SIDE REACTIONS

Consider the reaction schemes

A → B

k 1

k (5-73)
2

C

in a constant volume batch isothermal reactor with known values of
the rate constants k and k , and initial concentrations of C AO = 1.0
1
2
3
3
mol/m and C BO = C CO = 0.0 mol/m . The reactions are first order.
The concentrations of A, B, and C can be simulated with time using
the following rate equations:
k
− ( r A )=− dC A =(k 1 + )C A (5-74)
2
dt

+ ( r )= dC B = kC (5-75)
B 1 A
dt

+ ( r )= dC C = kC (5-76)
C 2 A
dt
Rearranging Equation 5-74 gives

dC A k + )
=−( 1 k C A (5-77)
2
dt
Equations 5-75, 5-76, and 5-77 are first order differential equations.
The concentrations of A, B, and C can be simulated for k = 0.25 hr –1
1