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$(15$ pts$.)2)$ The elementary reaction $A+BD$ is to be carried out to obtain a desired product $($D$).$ The

rate constant for this reaction is $k_1=150*exp(-5,\frac{000}{T}).$ Unfortunately, under conditions

required for the reaction to occur, species B also undergoes a second$-$order decomposition to

form an undesired product, $B2U,$ with $r_U=k_2{C}_B^2,$ and $k2={300}^{*}$exp$(-2,\frac{000}{T}).$

a$)$ What is the instantaneous selectivity for this system $(S_{\frac{D}{U}})?$ Your answer must be

simplified as much as possible.

b$)$ Assuming this is a liquid$-$phase reaction, describe two different reactor systems $($draw a

schematic AND describe with words$)$ and operating conditions you would use to maximize

the selectivity to D $.$