Determine the specific enthalpy of the liquid phase $(H_l)$ and specific internal energy of the vapor phase $(widehat(U{)}_y)$ for a $2kg$ two$-$phase $($liq$/$vap$)$ mixture of a compound $)=(16\frac{g}{m}ol$ at $P=0\mathrm{.}06$MPa and $600K.$ Consider the following values for this scenario: vapor mass fraction $=0\mathrm{.}6,$ vapor specific enthalpy widehat$(H{)}_g=400\frac{kJ}{kg},$ and $H=880kJ.$ Assume the gas follows ideal gas behavior at $600K.$

Hint: Use the Lever rule. Consider vapor as Phase $A$;$$ is any extensive property:

hat$()=hat({)}^A+(1-)hat({)}^B$