A solute is absorbed from a vapor stream mixture using a non$-$volatile liquid. The vapor enters at $98$kmo$\frac{l}{h}r$ and the liquid at $242$kmo$\frac{l}{h}r.$ The solute present in the vapor is $79\mathrm{.}0\%$ absorbed The operating lines for a counter$-$current absorption have already been graphed $($This figure is provided for your use $/$ consideration$).$

Based on the information available and any calculations deemed necessary:

What is the minimum number of equilibrium stages necessary to achieve the desired separation? $($Based on a graphical solution$)$

What is the inlet liquid solute mole fraction for this column $($the operation shown$)?$

What is your estimate for the thermodynamic partition coefficient that describes the solute equilibrium in this system? Be clear in your math$/$explanation$.$