Use the data in question $2$ for the case when heat is removed by a heat exchanger jacketing the reactor. The flow rate of coolant through the jacket is sufficiently high that the ambient exchanger temperature is constant at $T_a=50C.$

a$)$ Plot temperature and conversion profiles for a $PBR$ with $U\frac{l}{P}{b}_b=0\mathrm{.}08\frac{J}{s}-kg$ cat $K.$ How would the profiles change if $U(Pb$ were increased?

d$)$ Repeat part $($a$)$ assuming a reversible reaction with a reverse rate constant of:

$k_r=0\mathrm{.}2$exp$[E_{r}R(\frac{1}{450}-\frac{1}{T})]\{\frac{L^2}{k}$gcat$-$mol$-s\},E_s=51\mathrm{.}4k\frac{J}{m}ol$

Vary the entering temperature, $T_0$ and describe what you find

$2.$ The elementary, irreversible gas$-$phase reaction

$($Ctrl$)$

$AB+C$

Is carried out adiabatically in a PFR packed with a catalyst. Pure A enters the reactor at a volumetric flow rate of $20d\frac{m^3}{sec},$ at a pressure of $10$atm, and a temperature of $450K$

Additional information:

$CP{A}_{AA}=40\frac{J}{m}ol*K,CP{P}_{PB}=25\frac{J}{m}ol*K,CPC=15\frac{J}{m}ol*K$

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

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

$k=0\mathrm{.}133$exp$[\frac{E}{R}(\frac{1}{450}-\frac{1}{T})]\frac{d{m}^3}{(kg)-\text{c}\text{a}\text{t}*sec}$

With $E=31\mathrm{.}4k\frac{J}{m}ol$

With $E=31\mathrm{.}4k\frac{J}{m}ol$