$3-$ The liquid$-$phase reaction will be conducted in three isothermal, equal volume CSTRs$-$in$-$series that are operating at steady state. The feed consists of pure A at a concentration of $C_{Ao}=1mo\frac{l}{?}$ lit and a temperature of $50C.$ Your former co$-$worker was asked to size the units so that a conversion of $90\%$ of A would be realized across the cascade of reactors. The design calculations were performed and the units have been installed. Unfortunately, the conversion is much less than needed.

You have been told to fix the problem, and a meeting with the Plant Manager is scheduled in two hours at which you will make your recommendations. Upon reviewing the calculations of your co$-$worker, you notice that an equal conversion of $30\%$ was used in each reactor. What possible solution or solutions can you recommend? Justify any recommendation$($s$)$ with quantitative values.

$AB,r=k{c}_A,k=(6\mathrm{.}32{10}^{6}mi{n}^{-1})exp(\frac{-12,500ca\frac{l}{g}\text{m}\text{o}\text{l}}{RT})$