QUESTION $2$

Question #$2$: $(25$ pts$)$ The following parallel reactions take place in an isothermal, constant$-$volume CSTR:

$A2B,r=k_1{C}_A,k_1=1\mathrm{.}3mi{n}^{-1}$

$3AC,r=k_2{C}_A,k_2=0\mathrm{.}4mi{n}^{-1}$

Pure $A$ is fed to the reactor at a concentration of $380mo\frac{l}{m^3}.$

$($a$)$ Determine the residence time required to achieve $80\%$ conversion of species A under steady conditions.

$($b$)$ Determine the exit concentrations of species A$,$ B$,$ and C from the CSTR$.$

$($c$)$ Calculate the overall conversion of species $A(x_A),$ the selectivity of $B$ over $C(S_{\frac{B}{C}}),$ and the yield of $B$ on $A(Y_B).$