The exothermic reaction

AlongrightarrowB$+C$

was carried out adiabatically and the following data recorded:

The entering molar flow rate of A was $300mo\frac{l}{m}in.$

$($a$)$ What are the PFR and CSTR volumes necessary to achieve $40\%$ conver$-$

sion? $(V_{PFR}=72d{m}^3,V_{CSTR}=24d{m}^3)$

$($b$)$ Over what range of conversions would the CSTR and PFR reactor vol$-$

umes be identical?

$($c$)$ What is the maximum conversion that can be achieved in a $10\mathrm{.}5-d{m}^3$

CSTR$?$

$($d$)$ What conversion can be achieved if a $72-d{m}^3$ PFR is followed in series

by a $24-d{m}^3$ CSTR$?$

$($e$)$ What conversion can be achieved if a $24-d{m}^3$ CSTR is followed in a

series by a $72-d{m}^3$ PFR$?$

$($f$)$ Plot the conversion and rate of reaction as a function of PFR reactor vol$-$

ume up to a volume of $100d{m}^3.$