Ionic EquilibriumhardNUMERICAL

By what factor will the degree of dissociation () of an aqueous weak acetic acid solution increase iIonic 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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