Distillation is the process of separating the components or substances from a liquid mixture by using

selective boiling and condensation. Distillation may result in essentially complete separation $($nearly pure

components$),$ or it may be a partial separation that increases the concentration of selected components in

the mixture. In either case, the process exploits differences in the volatility of the mixture's components.

In Chemical Engineering, distillation is a unit operation of practically universal importance. Assume that

you are a newly employed Chemical Engineer who has been requested by your Process Manager to conduct

some investigations pertaining to a distillation process as follows. You carried out an experiment in which

a mixture of components A and B with $0\mathrm{.}6$ mole fraction of B is to be differentially distilled. Determine

the average composition of the collected distillate and the composition of the remaining liquid residue at

the end of operation using the vapour liquid equilibrium of A given in the table if $70$mole$\%$ of the initial

mixture has been vaporized.

Table $1.$ Vapour liquid equilibrium of component $A$ in mole fractions at $1$atm pressure