A liquid$-$phase autocatalytic reaction, $A+BB+B,$ with $(-r_A)=k_A{C}_A{C}_B,$ is to be conducted in a reactor network consisting of a PFR and MFR$.$ Determine the minimum total volume and optimum reactor sequence for $95\%$ conversion of $A$ if $C_{B0}=0\mathrm{.}010mo\frac{l}{L}.$

$($Assume steady$-$state condition. Data: $v_0=25\frac{L}{m}in$;$k_A=0\mathrm{.}3\frac{L}{m}ol*min$;$C_{A0}=0\mathrm{.}350mo\frac{l}{L}).$