Experimental measurements of Vaughan and Collins $[$Ind$.$ Eng. Chem., $34,885(1942)]$ for the propane$-$

isopentane system, at $167F$ and $147a,$ show a propane liquid$-$phase mole fraction of $0\mathrm{.}2900$ in

equilibrium with a vapor$-$phase mole fraction of $0\mathrm{.}6650.$ Calculate:

a$)$ The K$-$values for $C3$ and $iC5$ from the experimental data.

b$)$ The K$-$values of $C3$ and iC$5$ assuming ideal conditions using Raoult's law.

c$)$ Compare the results of $($a$)$ and $($b$).$ Assuming the experimental values are correct, how could

better estimates of the K$-$values be achieved?

Useful data:

Antoine Equation in the form $lnP=A-\frac{B}{t+C}$ for $t$ in $C$ and $P^{\text{s}\text{a}\text{t}}$ in kPa.