$($Please do not leave part f without solving$)$

The exothermic reaction of stilbene $($A$)$ to form the economically important trospophene

$($B$)$ and methane $($C$)$: $AB+C,$ 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 $40\%$ 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 $105d{m}^3$ CSTR$?$

d$)$ What conversion can be achieved if a $72d{m}^3$ PFR is followed in series by a $24d{m}^3$

CSTR$?$

e$)$ What conversion can be achieved if a $24d{m}^{3}CSTR$ is followed in series by a $72d{m}^3$

PFR$?$

f$)$ Plot the conversion and rate of reaction as a function of PFR reactor volume up to a

volume of $100d{m}^3.$