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

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.

$\backslash$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

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

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

$(20)$