A junior engineer is assigned to study the distillation column that is used for

the separation of isopropanol $(1)$ and n$-$hexane $(2).$ On his$/$her first day in the

job, after going over his$/$her calculations for the reboiler, the engineer rushes to

his$/$her boss$$ office out of breath and says,

$$There$$s something wrong! We must change the operating conditions of

the reboiler quickly. I double$-$checked my calculations and there shouldn$$t

be any vapor produced under these conditions!$$

$$Whatare the existing operating conditions?$$ the boss asks.

$$ The engineer replies, $$the stream entering the reboiler contains $15$ mol$\%$

isopropanol, and the operating temperature and pressure are $335$ K and

$0\mathrm{.}944$ bar, respectively.$$

Realizing that the engineer has used Raoult$$s law in his$/$her calculations, the

boss laughs and pats him$/$her on the shoulder. $$Don$$t worry$$ the boss says,

$$everything is alright. But it seems to me that you were daydreaming in Dr$.$

Tosun$$s thermodynamics classes!$$

Show that the use of Raoult$$s law does indeed lead to no vapor generation.