Compound A undergoes a reversible isothermal isomerization reaction in the gas phase.

The consumption reaction of A to produce B is second order and the reaction is reversible

of B to generate A is of order $1\mathrm{.}5.$

A$$ B

the equilibrium constant for the reaction is KC $=4\mathrm{.}5$L$^0\mathrm{.}5/$mol$^0\mathrm{.}5$

$.$ In a PFR with a

equimolar feed of A and an inert $($i$)$ at $15$ atm and $80\backslash$deg C with a volumetric flow of $20$

l$/$min undergoes a total conversion of $40\%.$ The kinetic constant for the reaction at $80$

$\backslash$deg C is k $=0\mathrm{.}015$ L$/$mol$*$minFor the mentioned process, determine:

a$)$ The volume of the PFR reactor

b$)$ The conversion achieved if a second PFR of the same volume is placed in

series operating at the same temperature

c$)$ The conversion achieved if a second CSTR of the same volume of the

first PFR in series operating at the same temperature

d$)$ I discuss the results obtained in part b$)$ and c$)$