PROBLEM #$3(30$ points$)$

An absorber uses a solvent to recover a solute from a gas stream $($mole ratio, $($:$Y_{N+1}=0\mathrm{.}0989\}.$ The gas, free of solute, feed rate is $)=(V_s.$ The solvent fed $(90k-mo\frac{l}{h})$ to the tower top does not contain solute. The desired exit gas composition is to be mole ratio $0\mathrm{.}0001($because regulations are tight$).$ The equilibrium data for solute in solvent is $Y_i=0\mathrm{.}6x_i.$ Determine:

$($i$)$ the composition of exit liquid solvent. $(5$ points$)$

$($ii$)$ the absorption factor. $(5$ points$)$

$($iv$)$ the number of real plates given that the overall efficiency $E_0$ is $67\mathrm{.}5$ percent.

$5$ points$)$

$($iv$)$ the ratio of $\frac{\frac{L_s}{V_s}}{(\frac{L_s}{V_s}{)}_{\text{m}\text{i}\text{n}}}$ from the given information. $(5$ points$)$