Adiabatic Equilibrium Temperature

For the elementary liquid$-$phase reaction

$A>B$

Make a plot of equilibrium conversion as a function of temperature.

i$.$ Combine the rate law and stoichiometric table to write $-r_A$ as a function of $k,C_A,x$ and $x_e.$

ii$.$ Determine the adiabatic equilibrium temperature and conversion when pure $A$ is fed to the reactor at a temperature of $300K.$

iii. What is the CSTR volume to achieve $85\%$ of the adiabatic equilibrium conversion for $v_o=5\frac{d{m}^3}{\text{m}\text{i}\text{n}}?$

Additional information:

$H{?}_A(298K)=-40000ca\frac{l}{m}ol$

$H_B{?}_B(298K)=-60000ca\frac{l}{m}ol$

$C_{P,A}=50\frac{\text{c}\text{a}\text{l}}{\text{m}\text{o}\text{l}\text{.}K}$

$C_{P,B}=50\frac{\text{c}\text{a}\text{l}}{\text{m}\text{o}\text{l}\text{.}K}$

$K_C=100000at298K,k={10}^{-3}$exp$(\frac{E}{R}(\frac{1}{298}-\frac{1}{(T)}))mi{n}^{-1}$ with $E=10000ca\frac{l}{m}ol$

PAPER TOTAL $=50$