By what factor will the degree of dissociation () of an aqueous weak acetic acid solution increase i — Ionic Equilibrium Chemistry Question
Question
By what factor will the degree of dissociation ($\alpha$) of an aqueous weak acetic acid solution increase if the solution is diluted to 100 times its original volume at a constant temperature? (Assume $\alpha \ll 1$)
Answer: 10
💡 Solution & Explanation
According to Ostwald's Dilution Law, for weak electrolytes, $\alpha \propto \sqrt{V}$, where $V$ is the dilution (volume). If the solution is diluted 100 times, $V_{final} = 100 V_{initial}$. The ratio $\alpha_2 / \alpha_1 = \sqrt{V_2 / V_1} = \sqrt{100} = 10$. Thus, it increases by a factor of 10.
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