The elementary, irreversible gas$-$phase reaction

$AB+C$

is carried out adiabatically in a PFR packed with a catalyst. Pure A enters the reactor at a volumetric flow

rate of $20d\frac{m^3}{s},$ at a pressure of $10$atm, and a temperature of $450K.$

Additional information:

$C_{P_A}=40\frac{J}{m}ol*K,C_{P_B}=25\frac{J}{m}ol*K,C_{P_C}=15\frac{J}{m}ol*K$

$H_A=-70k\frac{J}{m}ol,H_B=-50k\frac{J}{m}ol,H_C=-40k\frac{J}{m}ol$

All heats of formation are referenced to $273K.$

$k=0\mathrm{.}133$exp$[\frac{E}{R}(\frac{1}{450}-\frac{1}{T})]\frac{d{m}^3}{(kg)-ca{t}^2*s}$ with $E=31\mathrm{.}4k\frac{J}{m}ol$

$($a$)$ Plot and then analyze the conversion and temperature down the plug$-$flow reactor until an $80\%$ con$-$

version $($if possible$)$ is reached. $($The maximum catalyst weight that can be packed into the PFR is

$50kg.)$ Assume that $P=0\mathrm{.}0.$

$($b$)$ Vary the inlet temperature and describe what you find.

$($c$)$ Plot the heat that must be removed along the reactor $(Q^{}$ vs$.V)$ to maintain isothermal operation.

do all plots on matlab and give code