Solve the following problem using POLYMATH, where necessary. Include your answers
in the report and power point presentation.
The gas phase reversible isomerization reaction: A \leftrightarrow B follows an elementary rate law
and is to be carried out in a membrane reactor. Species B is able to diffuse out of walls of
the membrane, while A can not.
a) What is the equilibrium conversion assuming B does not diffuse out of the reactor
walls for $K_e = 1$?
b) If B diffuses out of walls of 10 liter membrane reactor at a rate of $R_B = k_B C_B$,
calculate the conversion for the case of: $k_B = 0.05 \text{ sec}^{-1}$, $K_e = 1$, $k_f = 0.8 \text{ sec}^{-1}$, $C_{A0} =$
0.2 mole/liter, and $v_0 = 1 \text{ liter/sec}$.
c) Plot conversion down the length of the reactor as a function of $k_B$, $k_f$, and $K_e$.