Please explai and solve this question : Part II: Lab distillation

Please support your explanations with screenshots of the simulation of Aspen whenever possible.

In the technological hall, there is a distillation column containing n sieve trays. The column separates a mixture of ethanol and propanol$-1$ under different reflux ratios. The vapor exiting the top tray is completely condensed using cooling water in a condenser. The reflux ratio is controlled by a valve in the reflux line, while the reboiler is electrically heated. Some trays are equipped with thermocouples to measure the temperature on these trays. In the lab, there is a lab manual available that explains how to manipulate the variables and interpret the physical data obtained from the column.

Assume during experiments, three samples are normally taken from different locations of the column: a sample from the top product, a sample from the middle stage, and a sample from the bottoms products. The composition of these samples are determined by a gas chromatograph $($GC$).$

Initial conditions: feed is saturated liquid and has a mole ratio $=50$:$50$ for ethanol: propanol, pressure at $1$ atm. The reflux ratio R$=1000$ is assumed to be infinity case.

Experimental results: samples are taken different locations of the column under different reflux ratios are analysed by GC and the results are summarized in table below:

Use the data in the Picture attached for G$7,$ ignore the rest of the data.

$1)$ Make a schematic drawing of the setup.

$2)$ Calculate the following variables based on the compositions obtained of each case

$-$ The minimum number of equilibrium stage

$-$ The actual number of stage

$-$ The minimum reflux ratio

$-$ The overall efficiency of the column

$($For the aforementioned calculation, please provide a clear list of symbols, any assumptions that you have made, and data you have cited from literature sources.$)$

$3)$ Based on the aforementioned data and results, what could you conclude, how would you formulate the objective$($s$)$ of the lab experiments. Quantitatively and qualitatively discuss how to determine the optimal operation conditions.

$4)$Based on the figure viscosity$/$volatility$,$ what is the expected overall tray efficiency for the distillation process described above? Additionally, what recommendations would you make to improve the overall tray efficiency?

$5)$ If we want to separate a mixture of methanol and propanol$-1$ instead of ethanol and propanol$-1$ to meet the same product specifications with the same reflux ratio, would we require a higher or shorter column? Please explain your answer with support of simulation results.