A saturated liquid mixture of methanol$-$water solution at $85C$ will be separated in a plate column operating at $1$atm pressure.

a$.$ Predict the thermal state $(q)$ and the composition of the feed stream $(x_F)$ with the help of Figure Q$2$ given below.

The column is equipped with a total condenser and partial reboiler.

b$.$ Draw the column schematically, showing all streams in enriching $($n$)$ and stripping $($m$)$ sections.

The feed flow rate is $900$kgmo$\frac{l}{h}$ and $92$ mole percent of methanol in the feed stream is to be recovered in $95$ mole percent purity. The operating reflux ratio $(R_D)$ is selected as $1\mathrm{.}63$ times the minimum reflux ratio $).$ If the average latent heat of vaporization of the solution is $38390k\frac{J}{k}$gmol and the constant molar overflow condition is assumed:

c$.$ Calculate the flow rates and the compositions of the top and bottom products.

d$.$ Find the minimum reflux ratio.

e$.$ Write the operating line equations for both enriching and stripping sections of the column at the operational reflux ratio.

f$.$ Find the number of ideal plates by using McCabe$-$Thiele Method.

g$.$ Determine the temperatures and compositions of the streams around the feed plate.

h$.$ Calculate both condenser and reboiler loads as $k\frac{J}{s}.$