The elementary reversible gaseous reaction, AharrB is to be carried out

adiabatically to achieve $45\%$ conversion of A$.$ Pure A is fed to the reactor

at a rate of $10mo\frac{l}{m}in$ at a pressure of $2\mathrm{.}87$atm and a temperature of $77C.$

Shaft work is neglected. Calculate:

$(1)$ The temperature at the exit

$(2)$ The volume of CSTR

specific reaction rate at $0C$:$0\mathrm{.}001h^{-1}($first order$)$

activation energy: $10,000ca\frac{l}{m}ol$

heat of reaction at $27C$:$,-20,000ca\frac{l}{m}$olA

equilibrium constant at $127C$:$25,000$

Heat capacity of $A=20ca\frac{l}{m}ol*K$

Heat capacity of $B=30ca\frac{l}{m}ol*K$

Assume Ideal Gas Law can be applied