Calculate the bubble point temperature and the equilibrium vapor composition for aliquid containing ethanol, water and methanol with the mole fractions $0\mathrm{.}15,0\mathrm{.}82$ and$0\mathrm{.}03,$ respectively. Perform your calculation for a saturation pressure of $100$ kPa. Youmay calculate partial pressures using the Antoine equation:InP $=$ A $-$BT$+$ Cwith the constants A$,$ B and C giving P in kPa.

ethanol A:$16\mathrm{.}8958$ B:$3795\mathrm{.}17$ C:$230\mathrm{.}918$

Water: A:$16\mathrm{.}3872$ B:$3885\mathrm{.}70$ C:$230\mathrm{.}170$

Methanol A:$16\mathrm{.}5785$ B:$3638\mathrm{.}27$ C:$239\mathrm{.}500$

Hint: at $100$ kPa, highest$-$boiling component, water, evaporates at T $=100\backslash$deg C$,$ so thebubble point must be at a lower temperature. Start your estimation with the boiling pointof ethanol, $78\backslash$deg C$.$