For the mixture methyl acetate $($MAc$)$ and methanol $(MeOH)$ equilibrium at $1\mathrm{.}0133$ bar and around $300$ to $400K,$ where the mole fraction of the more volatile component in the vapor phase is $0\mathrm{.}6,$ determine the following:

a$)$ Which is the more volatile component and the less volatile component? $($Clue: it has something to do with distillation$)$

b$)$ Using the chemical structure $($organic chemistry$)$ as the deciding factor, is the mixture better modeled using the simple Raoult's Law or the modified Raoult's Law? If indeed modified Raoult's Law is applicable, you may use the relevant equations discussed in class.

c$)$ Exact temperature $($between $300K$ to $400K)$ and the mole fraction of each component in the liquid phase. Use below equations for the saturated vapor pressure of the substances where $T$ is in $K.$ You are given the following choices where only one pair of