Question $4(20$ Marks$)$

A binary mixture of ethanoate $(1)/$n$-$heptane $(2)$ is in equilibrium at temperature of $345\mathrm{.}15K$ and saturated pressures are $P_1$sat$=79\mathrm{.}80$kPa,$P_2$sat$=40\mathrm{.}50$kPa. The overall mole fraction of species $1$ in the system is $z_1=0\mathrm{.}05.$ Using the following information:

$ln{}_1=0\mathrm{.}95x_2^2$

$ln{}_2=0\mathrm{.}95x_1^2$

And assuming the validity of Modified Raoults Law, calculate the followings:

$($a$)$ Bubble pressure and $y1$

$(10$ Marks$)$

$($b$)$ Dew pressure and $x1$

$(10$ Marks$)$