Question $7$

For solutions of acetone $($ac$)$ plus chloroform $($chl$)$ at $35\mathrm{.}2C,$ vapor pressures $P$ and acetone vapor$-$phase mole fractions $x_{ac}^v$ are given in Table as functions of the liquidphase acetone mole fraction $x_{ac}^l.($a$)$ Find the activity coefficients in these solutions. $($b$)$ Find ${}_{\text{m}\text{i}\text{x}}G$ when $0\mathrm{.}200$mol of acetone and $0\mathrm{.}800$mol of chloroform are mixed at $35\mathrm{.}2C$ and $1$ bar.

Vapor Pressures and Vapor Compositions for Acetone$-$Chloroform Solutions at $35\mathrm{.}2C$

$\backslash$table$[[x_{ac}^l,x_{ac}^v,\frac{P}{?}$ torr,$x_{ac}^{\text{I}},x_{ac}^v,\frac{P}{?}$ torr$],[0\mathrm{.}0000,0\mathrm{.}0000,293,0\mathrm{.}6034,0\mathrm{.}6868,267],[0\mathrm{.}0821,0\mathrm{.}0500,279*5,0\mathrm{.}7090,0\mathrm{.}8062,286],[0\mathrm{.}2003,0\mathrm{.}1434,262,0\mathrm{.}8147,0\mathrm{.}8961,307],[0\mathrm{.}3365,0\mathrm{.}3171,249,0\mathrm{.}9397,0\mathrm{.}9715,332],[0\mathrm{.}4188,0\mathrm{.}4368,248,1\mathrm{.}0000,1\mathrm{.}0000,{344}_{*5}$