SHOW POLYMATH CODE!!! The liquid phase isomerization reaction produces a desired product, but an undesired dimerization reaction also occurs. Both reactions are essentially irreversible and follow elementary rate laws.

$AD$

$2AU$

The reactions take place in a single, isothermal CSTR$.$ The feed conditions are $C_{A0}=2\mathrm{.}0mo\frac{l}{L},v_0=100\frac{L}{m}in,k_1=1\mathrm{.}0mi{n}^{-1},k_2=10\frac{L}{\text{m}\text{o}\text{l}*min},E_1=3500k\frac{J}{m}ol,$ and $E_2=2500k\frac{J}{m}ol.$

a$)$ What is the reactor volume required to achieve $95\%$ conversion of $A?$

b$)$ What are the final concentrations of $D$ and $U$ in the reactor outlet stream?

c$)$ What are the values of the overall selectivity of $D$ with respect to $U$ and the overall yield of the desired product?

d$)$ If the reactor temperature is increased, how would each of your answers in parts a $-c$ change qualitatively $($increase$,$ decrease, or remain unchanged$)?$ Explain your answers.