Given that there is transport of $4$ moles of A and $2$ moles of $B$ towards a permeable membrane from the bulk. The film between the membrane and the bulk is $2$ microns thick. The concentration of $A$ at the bulk is $C_{A,\text{b}\text{u}\text{l}\text{k}}=1M$ and at the interface is $C_{A,i}=0\mathrm{.}5M.$ Under steady state conditions, derive the concentration profile $($particular solution$)$ of A and $B$ for the following two conditions:

$($a$)$ Neglecting convective fluxes in the film. $(20$ points$)$

$($b$)$ Not neglecting convective fluxes in the film. $(20$ points$)$

Find the particular solution for both part A and B$!!!!!!$