The liquid phase reaction A $+2$B $->$ C $+$ D is conducted in a CSTR$.$ the reaction kinetics are first$-$order in both A and B with a rate constant ka $=0\mathrm{.}17$L$/$mol$-$min. The feed is equimolar at Cao $=$ Ceo $=0\mathrm{.}80$ mol$/$L$,$ and the inletvolumetric flow rate is $18$ L$/$min$.$ The molar flow rate of the solvent is $720$ mol$/$min$.$ The reactor temperature is to be held at $350$ K$.$a$)$ What reactor volume is needed to acheive an outlet flow rate of C of $4\mathrm{.}5$ mol$/$min$?$b$)$ The reactor feed is at a temperature of $300$ K$.$ To maintain the reactor temperature at $350$ K$,$ will the reactor need to be heated or will it need to be cooled? At what rate must heat be added to or removed from the reactor?Some additional data: $($Values may be considered constant over the temperature range from $300-400$ K$).$AHr $=-24$ kcal$/$mol $=$ Cp$.$a $=75$ cal$/$mol$-$kCp$,$solvent $=40$ cal$/$mol$-$K