By what factor will the degree of dissociation () of an aqueous weak acetic acid solution increase if the solution is diluted to 100 times its original volume at a constant temperature? (Assume )

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 $\alpha \ll 1$)

Prashant Kotian · Accepted Answer

Correct answer: 10. According to Ostwald's Dilution Law, for weak electrolytes, , where is the dilution (volume). If the solution is diluted 100 times, . The ratio . Thus, it increases by a factor of 10.

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