Chemical Reactions on Solid Surfaces - Bioprocess Engineering: Kinetics, Biosystems, Sustainability and Reactor Design - page 438

where

k A
k A

K A ¼ (E9-4.13)

k B
k B

K B ¼ (E9-4.14)

k S
k S

K A
K B

K C ¼ (E9-4.15)

K A and K B are adsorption equilibrium constants of A and B, respectively, and K C is the equi-
librium constant.
The five Eqns (E9-4.8) through (E9-4.12) can be solved simultaneously together with the
initial conditions (in the reactor at time 0):

:
We shall use an integrator to show how this problem can be solved on computer. In this
case, we use the ODexLims to integrate Eqns (E9-4.8) through (E9-4.11) . Let

C A ¼ C A0 ; C s ; C B ¼ 0 ; q ¼ 1 ; q A ¼ 0 ; q B ¼ 0 when t ¼ 0

y 1 ¼ C A ; y 2 ¼ C B ; y 3 ¼ q A ; y 4 ¼ q B ; and the independent variable x ¼ t
Parameters c 1 ¼ k A C s ;

c 2 ¼ K A C s ; c 3 ¼ k S ; c 4 ¼ K C ; c 5 ¼ K B C s ; c 6 ¼ k B C s :

The kernel functions can then be input into the visual basic module as shown in Fig. E9-4.1 .
The set-up and solution on excel worksheet for one case (one set of parameters) is shown in
Fig. E9-4.2 . Some of the results for selected values of the parameters are shown in Figs. E9-4.3
through E9-4.5.

FIGURE E9-4.1 Visual basic module shown the integral kernels for example 9.4.