Batch distillation of acetone and propylacetate: The relative volatility is 4.74, and we have 100 kmol of feed with an acetone mole fraction of 0.4. Acetone is more volatile.

We have 3 trays that we can add to the still pot, and we can run at a reflux ratio of 1.0. Produce an average acetone distillate mole fraction of 0.80. Start with a very high distillate mole fraction (0.999?), and lower the distillate mole fraction until you find the initial distillate mole fraction. From there, lower the distillate mole fraction and the feed mole fraction together until you can no longer count the appropriate number of stages, and find the final and average distillate mole fraction.

What are the starting and ending distillate mole fractions? How much distillate will we produce?