$AB$ is an elementary endothermic liquid$-$phase reaction run in a $100$ L adiabatic PFR$.$ Pure A enters the reactor at a flow rate of $2mo\frac{l}{m}in$ and $300$ K $.$ The initial concentration of A is $1mo\frac{l}{L}.$ The rate constant, $k=2se{c}^{-1}$@$300K.$

What conversion is achieved and what is the exiting temperature?

Other properties:

$C{p}_A=160,C{p}_B=160,ca\frac{l}{m}ol,Ua=150ca\frac{l}{secLLK,H_R}=15,000ca\frac{l}{m}ol$

$E=10,000$