$10\mathrm{.}25.$ For the system ethylene$(1)/$propylene$(2)$ as a gas, estimate hat$($f$)\_(1),$hat$($f$)\_(2),$hat$(\backslash$phi $)\_(1),$ and hat$(\backslash$phi $)\_(2)$ at t$=150$deg C$,$P$=30$ bar, and y$\_(1)=0\mathrm{.}35$ : $($a$)$ Through application of Eqs. $(10\mathrm{.}63).($b$)$ Assuming that the mixture is an ideal solution PLEASE GIVE DETAILED SOLUTION using these equations ln$\_1=$P$/$RT $($B$\_11+$y$\_2^2\backslash$delta $\_12)$

ln$\_2=$P$/$RT $($B$\_22+$y$\_1^2\backslash$delta $\_12)$