A distillation column has a feed of \(100 \mathrm{kmol} / \mathrm{h}\). The feed is \(10 \mathrm{~mol} \% \mathrm{LNK}\), \(55 \mathrm{~mol} \% \mathrm{LK}\), and \(35 \mathrm{~mol} \% \mathrm{HK}\) and is a saturated liquid. The reflux ratio is 1.2 times the minimum. We desire \(99.5 \%\) recovery of the light key in the distillate. The mol fraction of the light key in the distillate should be 0.75 . Use the FUG approach to estimate the number of ideal stages required and the optimal location of the feed stage. Equilibrium data:

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*LNK=4.0 LK= 1.0 HK= 0.75