$8\mathrm{.}9.$ Monoethylaniline can also be produced in the vapor phase in a fluidized bed using natural bauxite as the solid catalyst. The elementary reactions are shown in the previous problem. Using an equimolar feed of aniline and ethanol, the fluidized bed produces $3$ parts monoethylaniline to $2$ parts diethylaniline for a $40\%$ conversion of aniline. Assuming mixed flow of gas in the fluidized bed, find $\frac{k_2}{k_1}$ and the concentration ratio of reactants and products at the exit of the reactor.

Under the action of mixed enzymes reactant A is converted to products as follows:

$A{?}_{k_1}^{+\text{e}\text{n}\text{z}\text{y}\text{m}\text{e}}R{?}_{k_2}^{+\text{e}\text{n}\text{z}\text{y}\text{m}\text{e}}S,n_1=n_2=1$

where the rate constants are dependent on the $pH$ of the system.

a$.$ What reactor set$-$up $($plug flow, mixed flow, or staged mixed flow units$)$ and what uniform pH level would you use?

b$.$ If it were possible to change the $pH$ level along the plug flow reactor, or from stage to stage in mixed flow units, in what direction would you change the $pH$ level?

$8\mathrm{.}10.$

$k_1=pH+1$

$k_2=p{H}^2-8pH+23S2,$ and $S$ the desired $product{k}_1=p{H}^2-8pH+23$ with $2$

$8\mathrm{.}11.$

$k_1=pH+1$

$k_2=p{H}^2-8pH+23$

with $2,$ and $S$ the desired product