A tray tower is to be designed to absorbed SO$2$ from an air stream by using pure water. The entering gas contains $30$ mol$\%$ SO$2$ and that leaving $1$ mol$\%.$ The entering gas flow rate is $500$ kmol$/$h and the entering water flow rate is $1500$ kmol$/$h$.$ The equilibrium relationship is ya $2\mathrm{.}5$ XA$.$ The inert gas may be considered insoluble in the solvent and the solvent may be considered nonvolatile.$($i$)$ Calculate the amounts of the two outlet phases and the composition of the outlet liquid phase.$[6$ Marks