Problem $1(15/100)$: The following rate expression is given for a liquid phase reaction:

$-r_A=\frac{k{C}_A}{K+C_A},$ where $k=2\mathrm{.}6{10}^{-4}mo\frac{l}{Ls}$ and $K=0\mathrm{.}027mo\frac{l}{L}$

a$)$ Calculate the conversion in an isothermal batch reactor with the initial concentration of $0\mathrm{.}1$

$mo\frac{l}{L}$ after $10$ minutes of operation.

b$)$ Calculate the residence time required to achieve identical conversion in an isothermal CSTR

operated with the inlet concentration identical to the initial concentration in the batch reactor.