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Batch Distillation: If a solution is distilled in a batch operation, then the amount of residue left after its concentration is reduced from xF to xW can be found from the following equation.
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If the equilibrium relationship is given by constant relative volatility (α), then the above equation can be integrated and the result is given as
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Where F and W are moles of feed and residue and xF and xW are mole fractions of more-volatile component in the feed and residue, respectively. This equation is non-linear in xW. This equation can be rearranged into a simpler form and solved by using Newton's method.
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Its derivative is given as
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Where c1 and c2 are given as
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Once xW is known, xD can be found as
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Module for Batch Distillation Calculations
