Assuming the system methanol$(1)/$ ethanol$(2)$ to form Id$,$ do the following:

a$)$ Construct a Pxy graph at in kPa. Identify the dew and bubble lines. Write equations in your assignment sheet, evaluate all parameters apart from total pressure $P$ and $x_i(y_i).$ Use the equations in Excel spreadsheet for calculations and to create the graph. You must report the equations and print the final graph; do not print out the spreadsheets.

b$)$ Sketch a Txy graph at $200$kPa based on four precise points:

saturation temperature at $x_{1,}{y}_1=0$;

saturation temperature at $x_2,y_2=0$;

bubble temperature at $x_1=0\mathrm{.}3$;

and dew temperature at $y_1=0\mathrm{.}7.$

Show the calculations for these four points and state assumptions $($you do not need to show all iterations for finding bubble and dew temperature; only show the equations and final temperatures$).$

The Antoine equation is in the form of $ln{P}^{\text{s}\text{a}\text{t}}=A-\frac{B}{T+C}$ where pressure is in kPa, and $T$ is in degree Celsius.

The relevant Antoine equation constants for methanol $(1)$ are $A=16\mathrm{.}5785$;$B=3638\mathrm{.}37$;$C=239\mathrm{.}5$; for ethanol $(2)$: $A=16\mathrm{.}8958$;$B=3795\mathrm{.}17$;$C=230\mathrm{.}918.$