Question # $4(25$ points$)$

The excess Gibbs energy for the system chloroform$(1)/$ethanol$(2)$ at $55C(328\mathrm{.}15K)$ is we

The vapor pressures of chloroform and ethanol at $55C$ are: $A_{21},A_{12}$

$P_1^{\text{s}\text{a}\text{t}}=82\mathrm{.}37$kPa,$P_2^{\text{s}\text{a}\text{t}}=37\mathrm{.}31$kPa

i$.(10$ pts$)$ Assuming the validity of Equation $y_{i}P=x_i{}_i{P}_i^{\text{s}\text{a}\text{t}},$ make BUBLP calculations at $55C$ for liquid phase mole fractions of $0\mathrm{.}5.$

$($ii$.)(15$ pts$)$ Repeat the calculations using Equation $y,.P=x_i{}_i{P}_i^{\text{s}\text{a}\text{t}},$ with virial $x$ coefficients:

coefficients: $B_{11}=-963c{m}^{3}mo{l}^{-1}$

$B_{12}=52c{m}^{3}mo{l}^{-1}$

Guess: above solution $($Pressure and vapor mole fractions$)$