$13\mathrm{.}63.$ A single $P-x_1-y_1$ data point is available for a binary system at $25C.$ Estimate from the data:

$($a$)$ The total pressure and vapor$-$phase composition at $25C$ for an equimolar liquid mixture.

$($b$)$ Whether azeotropy is likely at $25C.$

Data: At $25C,P_1^{\text{s}\text{a}\text{t}}=183\mathrm{.}4$ and $P_2^{\text{s}\text{a}\text{t}}=96\mathrm{.}7$kPa

For $x_1=0\mathrm{.}253,y_1=0\mathrm{.}456$ and $P=139\mathrm{.}1$kPa