The liquid phase elementary reaction,

$A+B=C+D$

The reaction is carried out isothermally in two CSTRs in

series. The reactors operate at a temperature of $150C$

and a pressure of $5$atm. The rate constant at the

operating condition is $35m^3*kmol{e}^{-1}*h{r}^{-1}.$ The feed

flowrate is $2\mathrm{.}16m^3.h^{-1}$ and the concentrations of A and $B$

are the same as $0\mathrm{.}1$kmole.$m^{-3}.$ The desired conversion is

$70\%.($i$)$ Determine the conversion in the $1$st reactor when

the total volume of the reactor cascade is minimum, and

$($ii$)$ determine the volume of each reactor.