Binary Distillation Using McCabe$-$Thiele Merhod. A distillation column is fed with $150$kmo$\frac{l}{h}$ of a mixture of $25$mole$\%$ ethanol and $75$mole$\%$ water at $101\mathrm{.}32$kPa. The feed is liquid entering the column at its bubble point. At steady state, the distillate contains $75$mole$\%$ ethanol and the bottoms is $5$mole$\%$ ethanol. The reflux ratio is $4\mathrm{.}52$:$1.$

i$.$ Calculate the flow rate for the distillate and the bottom

$(3)$

ii$.$ Determine the equation for the enriching $($rectifying$)$ line.

$(2)$

iii. Draw the q$-$line. Label it in the plot.

iv$.$ Draw the stripping line. Label it in the plot.

v$.$ Estimate the theoretical number of trays needed using McCabe Thiele Method $(2)$