What is the [H₃O⁺] in a solution that has a [OH^-] of 3.2 × 10^-4 M? A) 3.2 × 10^-10 M B) 3.2 × 10¹⁰ M C) 3.1 × 10^-11 M D) 3.1 × 10¹¹ M E) 1.0 × 10^-7 M

Question

Quizplus · Accepted Answer

The given symbols represent the concentration of hydroxide ions ([OH^-]) and hydrogen ions ([H^+]) in a solution, respectively. The [OH^-] in a solution with a [H^+] of 3.2 × 10^-4 M can be found using the water dissociation constant (Kw = 1.0 × 10^-14 at 25°C). The formula to use is Kw = [H^+][OH^-]. Rearranging for [OH^-] gives [OH^-] = Kw / [H^+]. Substituting the given values, [OH^-] = 1.0 × 10^-14 / 3.2 × 10^-4 = 3.125 × 10^-11 M, which rounds to 3.1 × 10^-11 M, matching choice C.

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What Is the [H₃O⁺] in a Solution That Has a [OH^-]