Consider the liquid$-$phase reaction $(2$A$+3$BP$+$s with rate law $\backslash (-$P$\_$A$=0\mathrm{.}2$C$\_$AC$\_$B$12$ V$).$ Find the reactor volume needed if the desired production rate of Pis $10$ mol$/$min$,\backslash$ C$\_\{$A$0\}=2$M V$),\backslash ($C$\_\{$BO$)=3$M V$)$ and the desired conversion of reactant Ais $95\%.$ a$)$ Batch reactor volume if shut down time is $1$ hour; b$)$ CSTR volume c$)$ plug flow reactor volume