The data below was collected in a batch reactor for the reaction A$$R$.$

CA $($M$)$

$1\mathrm{.}0$

$0\mathrm{.}9$

$0\mathrm{.}8$

$0\mathrm{.}6$

$0\mathrm{.}4$

$0\mathrm{.}3$

$0\mathrm{.}2$

$1/-$rA $($min$/$M$)$

$0\mathrm{.}89$

$1\mathrm{.}09$

$1\mathrm{.}33$

$2\mathrm{.}05$

$3\mathrm{.}54$

$5\mathrm{.}06$

$8\mathrm{.}0$

a$)$ For two CSTRs in series with FA$0=100$mol$/$min and CA$0=1\mathrm{.}0$M$,$ the first CSTR reaches $40\%$ conversion of A$.$ What is the volume of each of the two reactors necessary to achieve $80\%$ overall conversion of A$?$

b$)$ The two CSTRs above do not minimize the total volume required for two CSTRs to reach $80\%$ conversion. Would the first reactor be smaller or larger in an optimal set$-$up$?$ No calculations are necessary and please justify your answer.

c$)$ If you were to replace the first CSTR with a PFR$,$ what would be the approximate volume required to reach the same conversion?

d$)$ If instead of reactors in series, you decided to use two PFRs in parallel with one being three times as large as the other, what would be the size and inlet volumetric flow of each reactor?The data below was collected in a batch reactor for the reaction $AR.$

a$)$ For two CSTRs in series with $F_{A0}=100mo\frac{l}{m}in$ and $C_{A0}=1\mathrm{.}0M,$ the first CSTR reaches $40\%$ conversion of $A.$

What is the volume of each of the two reactors necessary to achieve $80\%$ overall conversion of A$?$

b$)$ The two CSTRs above do not minimize the total volume required for two CSTRs to reach $80\%$ conversion.

Would the first reactor be smaller or larger in an optimal set$-$up$?$ No calculations are necessary and please

justify your answer.

c$)$ If you were to replace the first CSTR with a PFR$,$ what would be the approximate volume required to

reach the same conversion?

d$)$ If instead of reactors in series, you decided to use two PFRs in parallel with one being three times as

large as the other, what would be the size and inlet volumetric flow of each reactor?