You are asked to provide evidence of this volatility for the system

ethyl alcohol $(1)-$ hexane $(2)$ at a pressure of $120$kPa.

$($i$)$ What are the boiling points of the $2$ pure components at this pressure?

$($ii$)$ Determine the vapour composition in equilibrium with a liquid mixture of $10$

mol$\%$ ethyl alcohol $-90$mol$\%$ hexane. $($Note: solution of this requires an

iterative procedure$)$

$($iii$)$ Demonstrate whether or not the ethyl alcohol $-$ hexane system forms an

azeotrope at $120$kPa.

$[$It is not necessary to determine the actual azeotropic composition$].$

Data

Antoine equations for vapour pressures $(kPa)$ as a function of temperature, $T(C)$ :

Ethyl alcohol $(1)$:

$ln{P}_1^{stt}=16\mathrm{.}5090-\frac{3578\mathrm{.}9}{T+222\mathrm{.}65}$

$l{n}_2^{\text{s}\text{a}\text{t}}=13\mathrm{.}8215-\frac{2697\mathrm{.}6}{T+224\mathrm{.}37}$

Hexane $(2)$:

Parameters in the Wilson equations for activity coefficients: $A_{12}=0\mathrm{.}0894$;$A_{21}=0\mathrm{.}2018$