Q:$3$

The exothermic reaction of A to form the economically important product B and methane C$,$ i$.$e$.,$

$AB+C$

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 $300mo\frac{l}{m}in.$

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

$($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 $105-dm3$ CSTR$?$

$($f$)$ Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of $100dm3.$ X vs Vpfr and $-$r Vs Vpfr