P$5-9$A OEQ $($OId Exam Question. The lquid$-$ohase reactior

$A+BC$

Iollows an elenentary rate bw and is camied out isothermally in a flow system. Tre concentrations of the A and $B$ feed streams are each $2M$ before mixing. The volumetric flow rate of each stream is $5d\frac{m^3}{m}in,$ and the entering temperature is $300K.$ The streams are mixed immediately before entering. Two reaztors are available. One is a gray, $200\mathrm{.}0-d{m}^3$ CSTR that can be heated to $77C$ or cooled tc $0C,$ and the other is a white, $800\mathrm{.}0-d{m}^3$ PFR operated at $300K$ that cannot be heated or csoled but car be painted red or black. Note that $k=0\mathrm{.}07d\frac{m^3}{m}ol*min$ at $300K$ and $E=20$kca$\frac{l}{m}ol.$

a$.$ Which refctor and what conditions do you reconmenc? Fxphin the reascn for your chnice $($e o$.,$ color, cost, space avalable, weather conditions,$\text{'}.$ Bach up your reasoning with the appropriate calculations.

b$.$ How long would it take to achieve $90\%$ conversion in $200-d{m}^3$ batch reactor ivith $C_{AJ}=C_{B0}=1M$ after mixing at a temperature of $77C?$

c$.$ What would your answer to part $($b$)$ be if the reactor were cooled to $0C?($Ans: $2\mathrm{.}5$ days$)$

d$.$ What conversion would be obtained if the CSTR and PFR were operated at $300K$ and connected in seres? In parallel with $5$ molimin tc each?

e$.$ Keeping Table $43$ in mind, what betch reactor volume would be necessary to process the same amount of species A per day as the flow reactors, while achleving $90\%$ ccrverslon?

Explain why did you choose such answer for each