Suppose we have a first order reaction occurring in a CSTR

Let the reactions be $AC$ and $CD.$ These reactions happen at these rates:

$r_1=k_1{C}_A$ and $r_2=k_2{C}_C.$

Assume ideal mixing, steady state condition with closed boundary. Assume a constant

volume $V,$ and volumetric flow rate $v$ into a CSTR$,$ and steady state. It is convenient to define

$=\frac{V}{v},$ where $$ is the theoretical residence time. The initial concentration of the reactant $A=$

$2\mathrm{.}2mo\frac{l}{L}.$ The residence time, $$ is $2\mathrm{.}5$min. The rate constants are given as $k1=\frac{2\mathrm{.}31}{m}in$ and $k2$

$=\frac{4\mathrm{.}51}{m}in.$ Find the final concentrations of $A,C,$ and $D.$