A liquid mixture of $0\mathrm{.}40$ mole fraction n$-$hexane and the rest n$-$pentane at $31\mathrm{.}2\backslash$deg C is in equilibrium with vapours of the two components. Determine the mole fraction of n$-$pentane in the vapour.

Your answer must have three decimal figures and should be accurate to $\backslash$pm $0\mathrm{.}002.$ Do not truncate intermediate results, but only the final answer.

Use the following Raoult's Law equations to solve for the unknown:

x$1$P$1*=$ y$1$PT

x$2$P$2*=$ y$2$PT