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An ethanol-water mixture (MW of ethanol = 46, MW of water = 18) is separated using continuous distillation operating at 101.32 kPa pressure. The feed rate is 453.6 kg/hr and enters the column at its boiling point. Its density at 30oC is 905.80 kg/m3. A reflux ratio of 1.5 is to be used. The distillate has a density of 822.20 kg/m3 at 30oC and the bottoms has a density of 990.14 kg/m3 at 30oC. (You may assume the density of water at 30oC to be 1000.0 kg/m3)

Determine the amounts of distillate and bottoms in kg-moles/hr and their concentrations in mole fraction ethanol.

I have used this method to find the mole fraction http://www.chemicalforums.com/index.php?topic=63742.0 but I ended up with mole fraction of distillate lower than the feed. So I cannot plot the graph to find the theoretical tray.

Equilibrium data is given.

Thank you for helping!