The elementary liquid phase series reaction

$k1,k2$

$AC$

is carried out in a PFR$.$ The feed concentration is $5M$ in

A$.k1=\frac{0\mathrm{.}7}{h}$ and $k2=\frac{0\mathrm{.}1}{h}.$

a$.$ Find the optimum residence timeBlank $1$ in two decimal places and the concentration of ABlank $2,$

BBlank $3$ and CBlank $4$ at optimum residence time. All concentrations should be in two decimal places.

b$.$ Calculate the selectivityBlank $5$ and yieldBlank $6$ in two decimal places.

c$.$ Suppose the flowrate is $500\frac{l}{h},$ what is the design volume of PFR in liters? Blank $7$ in two decimal places.