Question $1$

A liquid mixture of methanol and water at boiling point is fed to a fractionating column

at $200$kmo$\frac{l}{h}r.$ The mole fraction of methanol in the feed is $0\mathrm{.}20$ and the desired

overhead $($distillate$)$ composition should contain $90$ mole percent of methanol and the

bottoms produce $98$ mole$\%$ of water. A reflux ratio of $3\mathrm{.}2$ is to be used. Use the

equilibrium data below and answer the following questions.

$1\mathrm{.}1.$ Draw a schematic diagram to represent the process

$1\mathrm{.}2.$ Complete the material balance over the distillation column

$1\mathrm{.}3.$ Determine the number of stages required