What is the hydroxide ion concentration and the pH for a hydrochloric acid solution that has a hydronium ion concentration of A) 6.67 × 10^-¹⁰ M, 4.82 B) 6.67 × 10^-¹⁰ M, 9.18 C) 6.67 × 10^-¹¹ M, 3.82 D) 6.67 × 10^-¹¹ M, 10.18

Question

Quizplus · Accepted Answer

Hydrochloric acid is a strong acid, which means it fully ionizes in water. Therefore, [H3O+] = [Cl-] = 11e-1 (based on the given hydronium ion concentration). Using the equation Kw = [H3O+][OH-] = 1.0 x 10^-14, where Kw is the ion product constant for water, we can calculate the hydroxide ion concentration as follows:

[H3O+][OH-] = 1.0 x 10^-14
(11e-1)([OH-]) = 1.0 x 10^-14
[OH-] = (1.0 x 10^-14) / (11e-1) = 9.09 x 10^-14 M

pH = -log[H3O+] = -log(11e-1) = 3.82

Therefore, the correct answer is C.

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