$2-4.$ The exothermic reaction of stillbene $($A$)$ to form the economically important trospophene $($B$)$ and methane $(C),$ ie$.$

AlongrightarrowB$+C$

was carried out adiabatically and the following data recorded:

$\backslash$table$[[x,0,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}45,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}8,0\mathrm{.}9],[-r_A(mo\frac{l}{d}{m}^3*min),1\mathrm{.}0,1\mathrm{.}67,5\mathrm{.}0,5\mathrm{.}0,5\mathrm{.}0,5\mathrm{.}0,1\mathrm{.}25,0\mathrm{.}91]]$

The entering molar flow rate of A was $300mo\frac{l}{m}in.F_{A_0}=300mo\frac{l}{m}m$

$($a$)$ What are the PFR and CSTR volumes necessary to achicve $40\%$ conversion? $(V_{PFh}=72d{m}^3,$

$V_{CSTR}=24d{m}^3$

$($b$)$ Over what range of conversions would the CSTR and PFR reactor volumes be identical?

$($c$)$ What is the maximum comversion that can be achieved in a $105-d{m}^3$ 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 volume up to a volume of $10dmd{m}^3$