For the system methanol $(1)/$methyl acetate $(2),$ the following equations provide a reasonable correlation for activity coefficients:ln $=1\mathrm{.}12$ ln $=1\mathrm{.}121221$If $=44\mathrm{.}5$ kPa and $=65\mathrm{.}6$ kPa at $35\backslash$deg C$,$ determine: $12($a$)$ The bubble point pressure and vapor composition for x$1=0\mathrm{.}25($b$)$ The dew point pressure and liquid composition for y$1=0\mathrm{.}20($c$)$ The dew point temperature and liquid composition for y$1=0\mathrm{.}20$ and $100$ kP