Problem $2$

$50$ Marks

Consider a mixture of methanol $(1),$ ethanol $(2)$ and water $(2)$ ternary system. Assume ideal

behavior of the solution and Raoult's law can be applied.

The Antoine constants and boiling points for the components are:

$($a$)$ Calculate the bubble point pressure for the mixture of composition $(x_1=0\mathrm{.}4,x_2=0\mathrm{.}4)$ at a

given temperature of $80C.$ Also calculate the values of $y_1,y_2$ and $y_3.$

$10$ Marks

$($b$)$ Calculate the dew point pressure for the mixture of composition $(\{$:$y_1=0\mathrm{.}4,y_2=0\mathrm{.}4)$ at a given

temperature of $80C.$ Also calculate the values of $x_1,x_2$ and $x_3.$

$($c$)$ Calculate the bubble point temperature for the mixture of composition $(x_1=0\mathrm{.}4,x_2=0\mathrm{.}4)$ at

a given pressure of $1$atm$(760mmHg).$ Also calculate the values of $y_1,y_2$ and $y_3\mathrm{.}15$ Marks

$($d$)$ Calculate the dew point temperature for the mixture of composition $(y_1=0\mathrm{.}4,y_2=0\mathrm{.}4)$ at a

given pressure of $).$ Also calculate the values of $x_1,x_2$ and $x_3.,15$ Marks