A liquid feed at its bubble point is distilled to produce the following distillate and bottoms:

Feed composition is xA $=0\mathrm{.}047,$ xB $=0\mathrm{.}072$ and xC $=0\mathrm{.}881,$

Distillate composition is xA $=0\mathrm{.}1260,$ xB $=0\mathrm{.}1913$ and xC $=0\mathrm{.}6827,$ and the

Bottoms composition is xA $=$ ~$0,$ xB $=0\mathrm{.}001$ and xC $=0\mathrm{.}999.$

The average relative volatilities may be assumed as $\backslash$alpha A $=4\mathrm{.}19,\backslash$alpha B $=1\mathrm{.}58$ and $\backslash$alpha C $=1\mathrm{.}00$

Use a basis of $1000$ mole$/$hr when$/$if necessary.

$1)$Identify the LK component $($A$,$ B or C$),$ LK $=$

$2)$Determine distillate, D $=$ and bottoms, B $=$ flowrates.

$3)$Determine the minimum number of stages necessary for this separation, Nmin$=$

$4)$In this column a suitable Theta $($root$)$ was determined as $1\mathrm{.}511.$ Calculate the minimum reflux ratio, Rmin. Rmin$=$

$5)$Determine the number of equilibrium stages in the column if R $=1\mathrm{.}25*$ Rmin. R$=$

$6)$ Based on Nmin, Rmin and R $($from previous steps$)$ determine the number of stages N$=$

$7)$ Identify the optimum feed stage, Nfeed $=$