Please follow all instructions and provide all work and explanations and I will rate accordingly! A liquid solution of methanol and ethanol is in equilibrium with its vapor in a closed system. The system is at $40\mathrm{.}1$ deg C and the vapor mixture has a total pressure of $20\mathrm{.}3$ kPa. The methanol and ethanol form an ideal solution in equilibrium with an ideal gas mixture.

a$)$ What is the composition of the liquid solution, in mole $\%?$

b$)$ What is the composition of the vapor, in mole $\%?$

Hint #$1$: The Antoine Equation will be useful. Hint #$2$: The problem has four unknown mole fractions so in order to solve for them, you need four equations using them.