Textbook: Separation process Engineering $3$rd$/4$th$/5$th Edition, Phillip C$.$ Wankat$(20$ points$)$ See parts $($a$)$ & $($b$)$ below:

a$.$ A feed mixture of ethanol and water is $40\mathrm{.}0$mol$\%$ ethanol. The feed is at $200C$

and is at a high enough pressure that it is a liquid. It is input into the column

through a valve, where it flashes. Column pressure is $1k\frac{g}{c}{m}^2.$ Find the slope of

the feed line.

Hint: Equation $(4-17)$ and Figure $4-3$ from Wankat can be useful for reference as

well as the "Notes on Use of Enthalpy Concentration Diagram" posted in Module

b$.$ We are separating ethanol and water in a distillation column at a pressure of $1$

$k\frac{g}{c}{m}^2.$ Feed composition is $50wt\%$ ethanol. The feed is a liquid at $250C$ and

FGuRE $43.$ Feed$-$stage balance envelope

flashes when the pressure is dropped as it enters the column. Find q$.$ Assume constant molal overflow is valid.

Hint: Chapter $4$ shows how to calculate $q$ if one knows enthalpies of the vapor & liquid at the feed plate and the

enthalpy of the feed stream.