The first order, reversible reaction

A $$ B $+2$C

takes place in a membrane reactor. Pure A enters the reactor, and B diffuses through the membrane. Unfortunately, some of reactant A also diffuses through the membrane. Use the CRE Algorithm in terms of mole balances for each species and show Steps. Use Polymath to evaluate and plot the flow rates of A$,$ B$,$ and C and the conversion X $($not needed for the calculations of A$,$ B$,$ C$,$ but it can still be computed based on amount of A$)$ along the volume of the reactor. You may use kCA and kCB values provided above to calculate the diffusion rates of A and B$,$ respectively. Also show written or hand calculations