$(20\%)$ Consider two mixed flow $($CSTR$)$ reactors of equal residence time of $10$ seconds $($each$)$ in series.

$($a$)$ Evaluate the extent of reaction $($i$.$e$.,x_{A2}=1-\frac{C_{A2}}{C_{A0}})$

$($b$)$ If $10\%$ of the output flow rate from the first reactor is removed and the remainder is fed to the second reactor, evaluate the extent of reaction $($i$.$e$.,x_{A2}=1-\frac{C_{A2}}{C_{A0}})$

Data: $-r_A=0\mathrm{.}1C_A$ moles$/$lit$-$s