An exothermic reaction with the stoichiometry $A2B$ takes place in organic solution. It is to be

carried out in a cascade of two $(2)$ CSTR$\text{'}$s in cascade. In order to equalize the heat load on each

of the reactors it will be necessary to operate them at different temperatures. The reaction rates

in each reactor will be the same, however. In order to minimize solvent losses by evaporation it

will be necessary to operate the second reactor at $120C$ where the reaction rate constant is

equal to $1\mathrm{.}5\frac{m^3}{\text{k}\text{m}\text{o}\text{l}*ksec}.$ You are also given the following information:

$F_{Ao}=28\frac{\text{m}\text{o}\text{l}}{ksec},C_{Ao}=1\frac{\text{k}\text{m}\text{o}\text{l}}{m^3},\frac{E_A}{R}=10,100K$

a$.$ If the effluent from the second reactor corresponds to $80\%$ overall conversion, how large

must the combined reactors be$?$

b$.$ At what temperature should the first reactor be operated? You may assume that the CSTR$\text{'}$s

are equal volume.