QUESTION $1$

A fractionating distillation column at Sasol Secunda is used to process $100$kmo$\frac{l}{h}r$ of liquid feed mixture of methanol and water at boiling point. The mole fraction of methanol in the feed is $0\mathrm{.}38$ and the desired overhead $($distillate$)$ composition should contain $96$ mole percent of methanol and the bottoms product $98$ mole$\%$ of water with a reflux ratio of $4.$ Use the equilibrium data given in Table $1$ and answer the following question:

Table $1$: Equilibrium data of the distillation column

$\backslash$table$[[x,0,0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,1],[y,0,0,417,0,579,0,669,0,729,0,78,0,825,0,871,0,915,0,959,1]]$

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

$[5]$

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

$[5]$

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

$[20]$