Exercise $1.$

Table $1$ shows the composition of a four$-$component mixture to be separated by distillation. The K$-$values for each component at the bubble point temperature of this mixture are given. The liquid$-$ and vapor$-$phase mixtures of these components may be assumed to behave ideally. Figure $1$ shows a sequence that has been proposed to separate the mixture shown in Table $1$ into pure component products. The minimum reflux ratio for each column in this sequence is shown. The feed and all distillation products may be assumed to be liquids at their bubble point temperatures.

a$.$ Calculate the flowrates and composition of all streams shown in Figure $1.$ Assume that the recovery of the light and heavy key components in each column is complete.

b$.$ Calculate the vapor load $($the total flow of vapor produced in all reboilers in the sequence$)$ for this sequence assuming a ratio of actual to minimum reflux ratio of $1$:$1.$

Table $1.$ Data for four$-$component mixture to be separated.

$\backslash$table$[[$Component$,\backslash$table$[[$Mole fraction in$],[$feed$]],$K$-$value,$\backslash$table$[[$Normal boiling$],[$point $(C)$