Problem $3.$ A feed liquid mixture of acetone $($A$)$ and water is available at $125C$ and $687$kPa and contains $57$mol$\%A.$ Before entering the distillation tower, the feed passes through an expansion valve and is partially vaporized at $61C$ and $101\mathrm{.}3$kPa. From the data below, determine the vapor fraction in the feed.

$\backslash$table$[[$Equilibrium data for acetone$-H_{2}O$ at $101\mathrm{.}3$kPa,,,,,,,$],[T(C),56\mathrm{.}7,57\mathrm{.}1,60\mathrm{.}0,61\mathrm{.}0,63\mathrm{.}0,71\mathrm{.}7,100],[Mol\%$ A in liquid,$100,92\mathrm{.}0,50\mathrm{.}0,33\mathrm{.}0,17\mathrm{.}6,6\mathrm{.}8,0],[Mol\%$ A in vapor,$100,94\mathrm{.}4,85\mathrm{.}0,83\mathrm{.}7,80\mathrm{.}5,69\mathrm{.}2,0]]$