Aqueous A reacts to form $R(AR)$ and in the first minute in a batch reactor its concentration drops from $C_{AO}=2\frac{\text{m}\text{o}\text{l}}{\text{l}\text{i}\text{t}\text{e}\text{r}}$ to $C_{Af}=1\mathrm{.}97\frac{\text{m}\text{o}\text{l}}{\text{l}\text{i}\text{t}\text{e}\text{r}}.$

The reaction follows second$-$order kinetics with respect to $A.$

What is the conversion?

$\_\_\_\_\_\_\%$

Find the rate constant.

$\_\_\_\_\_\_$ liter $mo{l}^{-1}mi{n}^{-1}$