$1)$ It is desired to separate a mixture containing benzene and toluene at a constant pressure of $101\mathrm{.}32$kPa absolute using the following vapor pressure data: $($a$)[15$ points$]$ Compute the vapor$-$liquid equilibrium data at $101\mathrm{.}32$kPa absolute$.($b$)[10$ points$]$ Find an empirical relation between liquid and vapor phase composition.