In a two stage counter current adsorption, the initial solution enters the absorber by concentration of $0\mathrm{.}36\frac{g}{L}$ and $54\%$ separation happened.

i$)$ If the equilibrium equation in each stage follow the linear Freundlich equation, find the concentration of the solution leaving the first stage.

$[10$ Marks$]$

ii$)$ If the equilibrium equation in each stage follow the second order Freundlich equation, find the concentration of the solution leaving the first stage?

$[10$ Marks$]$

iii$)$ Compare the results of part i and ii in terms of the rate of reaction and application of two adsorption isotherms.