Consider the following elementary reaction

$AB$

which is performed in three isothermal steady$-$state CSTRs$.$ Combining three CSTRs in series

achieves a production rate of $1mo\frac{l}{s}$ with an overall conversion of $90\%$ of A$.($i$.$e$.,x_{A3}=0\mathrm{.}9$ and

$\{$:$F_{B3}=1\frac{\text{m}\text{o}\text{l}}{s}).$

Calculate the volume of each reactor $(V_1,V_2,V_3).$

Available information

$V_1=V_2=V_3$

$T_1=T_2=T_3=65C$

$k=\frac{0\mathrm{.}004}{s}$

$C_{A0}=$ inlet concentration $to$ first reactor $=1mo\frac{l}{L}$

$=1\frac{g}{c}{m}^3$

$M{W}_A=100\frac{g}{g}$mol

$T_1,T_2,T_3=$ temperature $in$ each $CSTR,$ respectively