The reactant $A$ is converted into product according to the following stoichiometry

and kinetics:

$AR$

It is intended to use a feed stream with $C_{A0}=1\mathrm{.}0mo\frac{l}{L}$ and $Q=0\mathrm{.}15\frac{L}{s},$ in order to

obtain a conversion of $80\%.$ Determine the volumes of the reactors for the reaction

in question, using:

a$)$ a MFR;

b$)$ a PFR;

c$)$ a cascade of $2$ MFRs $($optimal$)$;

d$)$ a PFR with reflux $($optimal$)$;

e$)$ the best association of $2$ reactors $($PFRs and$/$or MFRs$).$