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A liquid mixture contains 60 wt% ethanol, 5 wt% of a dissolved solute, and the balance water. A stream of this mixture is fed to a distillation column operating at steady state. The streams emerging from the column have equal mass flow rates. The top stream contains 90 wt% ethanol with no solute.
Solve for all the mass fractions of the bottom stream and solve for the 3 mass flow rates
Note that, we need to take a basis in these cases where degree of freedom are more than the equations obtained from mass or energy balance. Otherwise the solution wouldn't be possible. The composition of bottom products will be same for all flowrate assumed but the flowrates of all streams would get changed.