$(25$ points$)$ Diagrams

The binary system toluene$(1)/$phenol$(2)$ conforms closely to Raoult's law. The Pxy diagram at $100C$ and $Txy$ diagram at $101\mathrm{.}325$kPa are given below.

T$-$x$-$y toluene$(1)/$phenol$(2)$ at $101\mathrm{.}325$kPa

$($a$)(5$ points$)$ Determine the bubblepoint pressure $($in kPa $)$ of a toluene$-$phenol mixture at $100C$ if the overall mole fraction of toluene is $z_1=0\mathrm{.}4.$ Determine the composition of the vapor phase of this system at the bubblepoint pressure.