Conduct a detailed mass and energy balance for an azeotropic distillation plant

producing $30$ tonnes of pure ethanol every day from a water$-$ethanol feed containing

approximately $95\mathrm{.}6\%$ ethanol and $4\mathrm{.}4\%$ water by weight. The water$-$ethanol system

forms a positive azeotrope, which means that the mixture has a higher boiling point than

either pure water or pure ethanol. The azeotrope typically contains approximately $95\mathrm{.}6\%$

ethanol and $4\mathrm{.}4\%$ water by weight and boils at a constant temperature of $78\mathrm{.}2C.$

Assume the entire system to be operating at $3$ bars. Azeotropic separation requires

pentane to fed at $2\mathrm{.}5$ to $3$ times the amount of ethanol handled in the column $($in

weight$).$ You can assume any values that may not be given. Please give a final value

assuming the values. One more piece of information you require to complete the mass

balance. I sugesst you make a reasonable assumption about one more information. It is

called the degree of freedom in engineering design. For example, I can make an

assumption about the feed entering to Distillation Column to be consisting of $50\%$

ethanol. This will allow me to calculate everthing else. Also, please note that the liquid

stream exiting Decanter $($shown with the arrow pointing up$)$ is pure pentane. Please do a

complete mass balance of the whole Block Diagram.

Below is a block diagram of the process: