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In weak electrolytic solution, degree of ionization
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Will be proportional to the square root of dilution
Ostwald's dilution formula is $\alpha^2=K(1-\alpha) / C$ but for weak electrolyte $\alpha$ is very small. So that $(1-\alpha)$ is neglected for weak electrolytes. So for weak electrolyte the dilution formula is $\alpha=\sqrt{\frac{K}{c}}$.
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