Acetic acid $($A$)$ is extracted from water $($W$)$ into hexanol $($H$)$ in a liquid$-$liquid extraction vessel. After that, the extract is subsequently separated by distillation. Assume that water is completely insoluble in hexanol. A mixture of $25wt\%$ acetic acid and the balance water is fed to the liquidliquid extraction vessel. Pure hexanol is fed into the vessel to extract the acetic acid. The water $-$ rich stream leaving the vessel is $98wt\%$ water and the balance acetic acid. The hexanol$-$rich extract from the vessel is fed to a distillation column. The composition of the distillate is $5wt\%$ hexanol and the balance acetic acid.

a$)$ Draw the process flow chart completely.

b$)$ Write a basis for this process and what are the significances of this basis? Give two reasons.

c$)$ If the bottom stream contains $97\mathrm{.}2wt\%$ of hexanol and recovers $95\%$ of the hexanol fed to the liquid$-$liquid extraction vessel, determine the percentage of acetic acid in the process feed that is recovered in the distillate stream.

d$)$ Determine the mass fractions of each component in the hexanol$-$rich extract stream.