Binary Phase Diagrams and the Lever Rule

How can an overall composition be split quantitatively between two equilibrium phases on a tie line?

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How can an overall composition be split quantitatively between two equilibrium phases on a tie line?

Build the conceptual model first, then test the same idea through the linked scientific representation or tool.

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Each phase fraction is proportional to the length of the tie-line segment on the opposite side of the overall composition, which is a compact geometric form of conservation of composition.