A given reactant decomposes in water with a second order rate constant of k $=0\mathrm{.}43$ L$/$mol$.$s$.$ If a feed stream with an initial concentration of $1\mathrm{.}0$ mol$/$L is passed through a CMFR at steady state at the rate of $0\mathrm{.}1$ m$/$s$.,$ what will be the volume required for $90$ percent decomposition of the reactant? $(10\%)$ b$)$ If two CMFRs in series each having one$-$half the volume calculated in part $($a$)$ were used, what would be the resulting percent decomposition of the reactant? $(15\%)$