$(20$ POINTS$)$ Revising the exergy analysis of the distillation of an ideal mixture

In this exercise you are asked to assess the importance of various simplifying

assumptions appearing in the presentation of the exergy analysis of the distillation of an

ideal mixture, by applying it to the particular case of a $50-50$ equimolar mixture of

toluene and benzene. Assume that your distillate and bottoms product attain $99\%$ purity,

the feed is in the liquid state, and that the column operates at $10\%$ above the minimum

reflux ratio. Use any applicable information that you can find and make any justifiable

assumptions as needed with the environment assumed at a temperature of $293K$ and the

column operating under a $1$ bar pressure. Compare your results against the approximate

analysis offered in class and comment on the observed differences. Is there another

design that you would suggest to affect this separation that can be more exergy efficient?