The isothermal nonelementary liquid phase reaction

$A2B,-r_A=k{C}_A^{0\mathrm{.}5},k=0\mathrm{.}5(\frac{\text{m}\text{o}\text{l}}{m^3}{)}^{0\mathrm{.}5}$min$-1$

takes place in a constant volume perfectly mixed reactor. The volume of the reactor is $1m^3.$ The feed contains only $A$ at an initial concentration of $2mo\frac{l}{m^3}.$ The volumetric flowrate of feed is $0\mathrm{.}1\frac{m^3}{m}in$ and does not change with time.

a$)$ Determine the steady state value of reactant $A$

b$)$ Derive the transfer function between inlet and outlet concentration of $A.$