The exothermic reaction A$->$B $+$ C was carried out adiabatically and the following data recorded: $($see attached picture $).$ The entering molar flow rate of A was $300$ mol$/$min$.$

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 $10\mathrm{.}5-$dm$3$ CSTR$?$

d$)$ What conversion can be achieved if a $72-$dm$3$ PFR is followed in series by a $24-$dm$3$ CSTR$?$

e$)$ What conversion can be achieved if a $24-$dm$3$ CSTR is followed in a series by a $72-$dm$3$ PFR$?$

f$)$ PIot the conversion and rate of reaction as a function of PFR reactor volune up to a volume of $100$ dm$^3$