The decomposition of A follows a first$-$order rate law $)=(0\mathrm{.}03$min$-1.$

a$)$ What is the conversion in a $150$ L CSTR if a $1\mathrm{.}0M$ solution of $A$ is feed into the reactor at a rate of $4\mathrm{.}5mo\frac{l}{m}in?$

b$)$ On the way to the CSTR in part $($a$),$ the fluid spends about $20$min traveling through pipes. During this time the reaction is occurring. Assuming the inlet conditions from part $($a$)$ apply to the start of the pipes,

what is the final conversion in the CSTR$?$

c$)$ List two ways to increase the conversion of $A$ in this system.