For the reaction and data in Q$1,$ consider now the case when the reaction is reversible with $K_C=0\mathrm{.}025d\frac{m^6}{m}o{l}^2$ and the reaction is camied out at $300K$ in a membrane reactor where $B$ is diffusing out. The membrane transport coefficient is $k_c=0\mathrm{.}08s^{-1}.$

Use $k=0\mathrm{.}044mi{n}^{-1}.$

a$)$ What is the equilibrium conversion?

b$)$ Calculate the reactor volume necessary to achieve $90\%$ of the equilibrium conversion

c$)$ Use Polymath to plot and analyze the conversion and molar flow rates in the membrane reactor as a function of reactor volume. Note any maxima in the flow rates.