P$6-3$ C The second$-$order liquid phase reaction

$C_6{H}_{5}COC{H}_{2}Br+C_6{H}_{5}Nlongrightarrow{C}_6{H}_{5}COC{H}_{2}N{C}_5{H}_{5}Br$

is carried out in a batch reactor at $35C.$ The specific reaction$-$rate constant is $0\mathrm{.}0445d\frac{m^3}{m}o\frac{l}{m}in.$ Reactor $1$ is charged with $1,000d{m}^3,$ where the concentration of each reactant after mixing is $2M.$

$($a$)$ What is the conversion after $10,50,$ and $100$ minutes?