$(40$ pts$)[$CSTR$]$ The reaction $AB,r=k{C}_A$ occurs in $n$ equal volume CSTRs in series, each with residence time $,$ with $90\%$ overall conversion. If $k=0\mathrm{.}5mi{n}^{-1},C_{A_0}=2$ moles $\frac{?}{?}$ liter, and $v=4$ liters $\frac{?}{\text{m}\text{i}\text{n}},$ what would be residence times and reactor volumes for $n=1,2,3,$ and $4?$