Problem $1$

An irreversible liquid phase reaction is carried out in an isothermal continuous flow reactor $($CSTR or PFR$).$ The reaction is

$A+BC$

with

$-r_A=k{C}_A{C}_B$;$,k=2\frac{L}{\text{m}\text{o}\text{l}*s}$

The feed stream has a volumetric flow rate of $5\frac{L}{s}$; it carries components A and $B,$ both at concentration $1mo\frac{l}{L}.($There are no $C$ molecules in the feed.$)$ The liquid stream has constant mass density.

Component A is to have a fractional conversion of $80\%$ as it exits the reactor.

$($a$)$ What is $x_B$ in the effluent $($i$.$e$.$ exit$)$ stream when the conversion of $A$ is $80\%?$

$($b$)$ For a CSTR$,$ determine the required reactor volume.

$($c$)$ For a PFR$,$ determine the required reactor volume.