Q$3)35P$

The following parallel reaction will be carried out in a CSTR$.$

$A+B{k}_{1}R,r_R=1\mathrm{.}5*C_A^2*C_B(desired)$

$A+B{k}_{2}D,I_D=0\mathrm{.}47*C_A*C_B^2(undesired)$

$($desired$)$

$($undesired$)$

a$)$ Given that there are $2mo\frac{l}{L}A$ at the beginning, what should the initial $B$ concentration be for the yield to be $99\%,$ according to the $90\%$ conversion rate of the limiting reactant?

b$)$ What is the required reactor volume when a feed rate of $40\mathrm{.}5\frac{L}{m}in$ is taken according to the calculated $B$ concentration?