A reversible liquid phase isomerization of $A$ to form $2B(Aharr2B)$ is carried out in an ADIABATIC

packed bed reactor. The reactor is fed pure reactant $"$A$"$ at $0\mathrm{.}1$mol$\frac{e}{sec}$ and $1$Lite$\frac{r}{sec}.$ The feed enters

the reactor at $50C.$ A temperature sensor at the exit of the packed bed reads $150C.$ The reactants and

products have a mean solution heat capacity that is temperature and composition independent and is

equal to mole $K.$ The reaction rate law and Arrhenius parameters are as follows:

$-r_A=k_f{C}_A-k_r{C}_B^2$ where $k_f$ has $A_f=2\mathrm{.}6{10}^{10}se{c}^{-1}$ and $E_f=22$kca$\frac{l}{m}$ole

and $k_r$ has $A_r=1\mathrm{.}4{10}^{13}$lite$\frac{r}{molesec}$ and $E_r=25$kca$\frac{l}{m}$ole.

a$)$ Determine the heat of reaction $H_{Rx}$

b$)$ Determine the required conversion for an adiabatic temperature rise from $50C$ to $150C$

c$)$ Determine $Kc$ at the exit temperature of $150C$

d$)$ Determine the equilibrium conversion at $150C$

e$)$ Is the adiabatic temperature rise possible? Why or why not?