$3\mathrm{.}10$ Three CSTRs are to the used in series. The second reactor has a volume twice that of the first and third reactors. The infleent flow has a concentration of $150m\frac{g}{t}$ of $A.$ and the flowrate is $100ga\frac{l}{?}$ min$(380\frac{l}{m}in).$ The reaction is second order, the rate equation is

$-\frac{d{C}_A}{ds}=k{C}_A^2=-r_A$

and the rate constant is $0\mathrm{.}0070($img$-$hr$.$ Determine:

$2.$ A graph of $-r_A$ on the y$-$aris versus $C_A$ on the $x=$ axis on arithmetic paper.

b$.$ The mean residence time and volume of each reactor if the removal or conversion of $A$ is $80\%.$ What are the concentration of A and the rate of conversion in each reactor? Use a graphic solution employing the graph from part $($a$).$ Express volume as gallons and liters.