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 $x_3.$

$10$ Marks

$($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 $).$ 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 $x_3\mathrm{.}15$ Marks

Hint: Follow Lecture Note $3\mathrm{.}3$ to solve Problem $2.$Problem $250$ 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.

Benzene

k$1=15\mathrm{.}9037$

k$2=2789\mathrm{.}01$

k$3=220\mathrm{.}79$

The Antoine constants and boiling points for the components are:

Component

MW

BP$,$ oC

Antoine Constants

k$3$

Methanol

Ethanol

$46$

$78\mathrm{.}3$

k$1$

$18\mathrm{.}68233$

k$2$

$32$

$64\mathrm{.}5$

$18\mathrm{.}61042$

$3392\mathrm{.}57$

$3667\mathrm{.}7$

$230226\mathrm{.}1$

Water $1810018\mathrm{.}58823984\mathrm{.}92233\mathrm{.}43$

$($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 $80$ oC$.$ 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 $80$ oC$.$ Also calculate the values of x$1,$ x$2$ and x$3.10$ Marks

$($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 $(760$ mm Hg$).$ Also calculate the values of y$1,$ y$2$ and y$3.15$ 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 $1$ atm $(760$ mm Hg$).$ Also calculate the values of x$1,$ x$2$ and x$3.15$ Marks

Hint: Follow Lecture Note $3\mathrm{.}3$ to solve Problem $2.$