You are asked to design a reactor $($or system of reactors$)$ for the following liquid phase reaction

network, comprising an exothermic reaction to form a desired product $B,$ and a parallel

endothermic reaction to produce an undesired product, $U.$ The available feed stream contains A

at concentration $c_{A0}$ and temperature $T_0.$

$A2B,(-r_1)=k_1{c}_A^2,H_1=-47k\frac{J}{m}$olA

$AU,(-r_2)=k_2{c}_A,H_2=+19k\frac{J}{m}$olA

a$)$ What type of reactor, configuration$/$combination and operating conditions $($high$/$low $T,c_i,$

etc.$)$ should be chosen to maximize the production rate of B$?$ Justify and explain your

answer.

b$)$ Assuming a PFR reactor was chosen, show the steady state material balance and energy

balance equations that account for the disappearance of A and the production of $B$ and $U,$

assuming the reactor operates adiabatically. Simplify your equations as far as possible.

c$)$ Consider the case where B and U are easy to separate from A$,$ but B is difficult to

separate from U$.$ Explain how this affects your thinking about the choice of reactor and

selection of operating conditions