QUESTION $1$

In a gas$-$liquid distillation column, gas and liquid phases are in equilibrium. The liquid mixture consists of $1-$butanol $(C_4{H}_{10}O),$ ethanol $(C_8{H}_8)$ and toluene $(C_7{H}_8)$ with mole ratio of $4$:$2$:$3,$ respectively, is in equilibrium with the gas mixture at $80C$ and system pressure $(P).$ Use Raoult's law relationship to determine $P$ and composition of the gas mixture $($y$).$

Raoult's law: $P_A=y_{A}P=x_A{P}_A^{**}(T)$

Antoine Equation constants:

$\backslash$table$[[$Compound$,$A$,$B$,$C$],[1-$butanol,$7\mathrm{.}36366,1305\mathrm{.}198,173\mathrm{.}427],[$Ethanol$,8\mathrm{.}11220,1592\mathrm{.}864,226\mathrm{.}184],[$Toluene$,6\mathrm{.}95805,1346\mathrm{.}773,219\mathrm{.}693],[,$ marks$),]]$