Consider an A$+$air mixture. $80\%$ of A in this mixture can be absorbed by an inert and pure liquid. The gas entering the system contains $20\%$ A$,$ and the liquid feed rate is adjusted to be $1\mathrm{.}6$ mol inert liquid $/$ mol air. Based on this information, lets determine the A ratios in the liquid $($x$)$ and gas $($y$)$ phases that leave the system. Additionally, write down the operating line equation, and calculate the A amount transferred to the liquid phase if the air flow rate were $100$ kmol$/$s $($also in kg$/$s using MAA $=60$ kg$/$kmol$).$ Finally, under the given equilibrium conditions with a relationship K $=1\mathrm{.}25($mol A $/$ mol air$)/($mol A $/$ mol liquid$),$ calculate the minimum liquid phase flow rate in kmol$/$s$.$