$2^{nd}$ order reaction CSTR

Consider a well$-$stirred tank of volume $V$ with feed $(F_{in})$ and effluent streams $(F_{\text{o}\text{u}\text{t}}),$ where an

irreversible reaction occurs in an inert carrier fluid with a second$-$order reaction rate: $A$

product, $r=-k{C}_A^2.$ Assuming perfect mixing in the tank and the initial feed concentration, $C_{A0},$

Derive a governing equation for species A from the 'conservation of mass' principle. We

assume a constant volume and flow rate. $(10)$

What are the two time scales that govern this system? $(10)$

What is the steady$-$state $c_A(t)$ in terms of two time scale found in $2$