Problem $2.$ Using the distillation operation shown in Figure $1,$ calculate the following.

a$.$ Estimate the bubble point temperature of the distillate based on the distillate composition when the non$-$key components do not distribute.

b$.$ Estimate the bubble point temperature of the bottoms based on the bottoms composition when the non$-$key components do not distribute.

c$.$ Determine the minimum number of equilibrium stages and the distribution of the nonkey components by the Fenske equation using either the DePriester charts or the McWilliams equation. Use the bubble point temperature calculated in part $($a$)$ as the distillate temperature, and use the bubble point temperature calculated in part $($b$)$ as the bottoms temperature.

Feed

Table $1.$ Feed flow rates

$\backslash$table$[[$Compound$,$kgmol$\frac{e}{h}r$