Problem n$.1$

A binary mixture ethanol$/$water is under conditions of vapor$-$liquid equilibrium at pressure of $1$atm and temperature of $89C,$ with a molar fraction of water in liquid phase of $92\mathrm{.}8\%$ and a molar fraction of water in in vapor phase of $61\mathrm{.}1\%.$

Using this datum, calculate $(1\mathrm{.}1)$ the temperature and $(1\mathrm{.}2)$ the composition of the first bubble in equilibrium with a liquid phase $50\%$ molar, at the same atmospheric pressure.