Assume water and n$-$octane are immiscible.

a$)$ Since the liquids are immiscible, all liquid phases are pure. What is $$ for a pure species?

b$)$ Calculate the boiling point for water and n$-$octane at $1$ bar.

c$)$ Sketch a Txy diagram $($with the x$-$axis as the mole fraction of water$)$ for the binary mixture at $1$ bar. Label the boiling points.

d$)$ Calculate the temperature at which VLLE occurs. $($Hint: at VLLE of immiscible liquids, a vapor mixture is in equilibrium with two pure liquids$).$

e$)$ A system contains $80$ mol$\%$ water. At what temperature does the first vapor bubble appear? What is the composition of the vapor bubble?

f$)$ Which liquid $($water or octane$)$ boils off first? At what temperature does this liquid completely boil off?

g$)$ At what temperature does the other liquid boil off?