$2-$ A mixture of component $1$ and component $2$ is brought in the two$-$phase region at $60C$ and

$105$kPa. The fraction of component $1$ in the liquid phase is $0\mathrm{.}20$ and the fraction in the vapor

phase is $0\mathrm{.}30.$ Given: $P_1^{\text{s}\text{a}\text{t}}=110$kPa,$P_2$ sat $=80$kPa,$S^E=0\mathrm{.}13\frac{J}{\text{m}\text{o}\text{l}*K}.$ Determine:

$($a$)$ The activity coefficients of both components in the liquid phase.

$($b$)G^E$ and $H^E.$