$6\mathrm{.}5$ An isomerization reaction

$AB$

takes place in a constant$-$volume CSTR$.$ The feed to the reactor consists of pure $A.$ The rate of the reaction is given by

$r=k_1{c}_A-k_2{c}_B$

For the maximum conversion of species $A$ at a given residence time, determine the reactor temperature.

$)=(\frac{\frac{E_2}{R}}{ln\{A_2[(\frac{E_2}{E_1})-1]\}}$