A mixture of $10\%($molar$)$ A and $90\%$ B is fed into a reactor behaving as a CSTR$,$ where

a following reaction takes place

$A+BC+D,H_R=-95kJkmo{l}^{-1}.$

Mean molar heat capacities of compounds are $($in $Jmo{l}^{-1}{K}^{-1})$ : $c_{p,A}=35,c_{p,B}=30,$

$c_{p,C}=30\mathrm{.}0$ and $c_{p,D}=25.$ The inlet temperature is $620K.$ Calculate:

a$)(15$pts$.)$ the reaction temperature if the conversion of $A$ is $75\%.$

b$)(10$pts$.)$ the reaction temperature if the feed is composed of $20\%A,30\%B$ and $50\%$

of an inert with $c_{p,A}=42Jmo{l}^{-1}{K}^{-1}$ and the conversion of A remains $75\%$

Assume the CSTR as adiabatic and in steady state. Consider the heat capacities of the

compounds and reaction enthalpy $(H_R)$ as independent on temperature.