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Chemistry — Degree of Dissociation

Ostwald's dilution law for a weak electrolyte.

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K_a = \frac{c\alpha^2}{1 - \alpha}

\alpha \approx \sqrt{\frac{K_a}{c}} \;\;(\alpha \ll 1)

[\text{H}^+] = c\alpha

K_w = K_a K_b