Calculate the yield of forming B in a CSTR when the conversion of A$$ is $90\%$ and C$\_$A O$=4$mol $/$ L$.$ The following reactions occur in the reactor:The exothermic reaction

A$$B$+$C

was carried out adiabatically and the following data recorded: The entering molar flow rate of A was $300$mol $/$ min. $($a$)$ What are the PFR and CSTR volumes necessary to achieve $40\%$ conversion $?($V$\_$PFR$=7\mathrm{.}2$ dm$^3,$ V$\_$CSTR$=2\mathrm{.}4$ dm$^3)($b$)$ Over what range of conversions would the CSTR and PFR reactor volumes be identical? $($c$)$ What is the maximum conversion that can be achieved in a $10\mathrm{.}5-$dm$^3$ CSTR$?($d$)$ What conversion can be achieved if a $7\mathrm{.}2-$ dm$^3$PFR is followed in series by a $2\mathrm{.}4-$dm $^3$ CSTR$?($e$)$ What conversion can be achieved if a $2\mathrm{.}4-$dm$^3$ CSTR is followed in a series by a $7\mathrm{.}2-$dm$^3$ PFR$?$