A process stream contains light species $1$ and heavy species $2.$ A relatively pure liquid stream containing mostly $2$ is desired, obtained by a single stage liquid$/$vapor separation. Specifications on the equilibrium composition are : $x_1=0\mathrm{.}003$ and $y_1=0\mathrm{.}96.$ The data given below can be used to determine $T$ and $P$ for the separator.

For the liquid phase $ln{}_1=0\mathrm{.}93x_2^2,ln{}_2=0\mathrm{.}93x_1^2$

$]=10\mathrm{.}1,B_1=2572,A_2=11\mathrm{.}6,B_2=[6254$