$(30$ marks$)$ Two $6000$L CSTRs are available for an exothermic liquid phase reaction $A2B.$

The reactors operate isothermally at $350K$ due to careful process control.

Given the following:

$(-r_A)=k_A{c}_A^2$

$k_A=8\mathrm{.}2{10}^2{e}^{(-6,\frac{400}{T})}Lmo{l}^{-1}mi{n}^{-1}$

$c_{Ao}=2\mathrm{.}5mo\frac{l}{L}$

$c_P=4\mathrm{.}0J{g}^{-1}{K}^{-1}$

$=0\mathrm{.}95\frac{g}{L}$

$(-H_{RA})=-40kJ$ per mol $ofA$

$q_o=50\frac{L}{m}in$

$MW(A)=88\frac{g}{m}ol$

$MW(B)=44\frac{g}{m}ol$

$T_0=35C$

a$.$ What conversion can be achieved in a single $6,000$L CSTR$?$

b$.$ What reactor arrangement would lead to the maximum possible conversion of A using these

vessels, under isothermal conditions? $($Justify your answer without calculations$).$

c$.$ Based upon the system in $($a$),$ what is the annual production rate of B $($in tonnes$),$ if the facility

normally operates $24$ hours per day, but is shut down for maintenance for $15$ days per year?