Part of JPC-02 — Equilibrium: Chemical & Ionic (pH, Buffer, Ksp)

Ostwald's Dilution Law

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For weak electrolytes, Ka = Calpha^21alpha\frac{2}{1-alpha}. When alpha << 1 (under 5%): Ka approximately equals Calpha2alpha^2, giving alpha = sqrtKaC\frac{Ka}{C}. Key implications: (1) alpha increases with dilution — at infinite dilution, alpha approaches 1. (2) [H+] = Calpha = sqrt(KaC) decreases with dilution. (3) These two trends are not contradictory: a larger fraction dissociates, but the absolute number of ions per unit volume decreases. The van't Hoff factor i = 1 + (n-1)*alpha connects dissociation to colligative properties, where n = number of ions. For strong electrolytes, alpha approximately equals 1 and i approximately equals n. Always verify alpha < 5% before using the approximation; otherwise solve the quadratic.

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