The liquid phase reaction A $+$B $->2$C at $70$C takes place in a stirred tank flow reactor $($RATB$)$where the conversion to A is $65\%.$ The reaction proceeds in a pseudo$-$first$-$order with kA $=0\mathrm{.}257/$hour$.$ The reactor feed concentration was $1\mathrm{.}5$kmol$/$m$3.$

a$.$Determine the reactor volume required for a production capacity of $1140$kg$/$hr$,$if compound A reacts $75\%($Note: for safety reasons liquid only fulfills $80\%$ of the reactor capacity$).$ Known BM C $=30$kg$/$kmol

b$.$Assuming the reactor is cylindrical, determine the diameter and height of the react or $($use theratio of diameter to height $1$: $2)$