The feed to a rectifying column is \(32.0 \mathrm{~mol} \% \mathrm{n}\)-butane, \(56.0 \mathrm{~mol} \% \mathrm{n}\)-pentane, and \(12.0 \mathrm{~mol} \% \mathrm{n}\)-hexane. Feed rate is \(100.0 \mathrm{kmol} / \mathrm{h}\) and is a saturated vapor at 7.0 bar. The column operates at 7.0 bar, has a total condenser with a saturated liquid reflux, and CMO can be assumed valid. The distillate product is 99.3 \(\mathrm{mol} \% \mathrm{n}\)-butane and \(\mathrm{D}=30.0 \mathrm{kmol} / \mathrm{h}\).

a. Find bottoms flow rate, reflux ratio L/D, and mole fractions of distillate and bottoms.

b. List your assumptions, if any.