Question

at 10 °c, the ion product of water is 2.93 × 10^{-15}. what is the concentration of hydronium ions at this temperature?
select the correct answer below:
1.46 × 10^{-15} m
3.84 × 10^{-8} m
5.41 × 10^{-8} m
there is not enough information.

Explanation:

Step1: Recall the ion - product constant of water formula

For water, \(K_w=[H_3O^+][OH^-]\). In pure water, \([H_3O^+]=[OH^-]\), so \(K_w = [H_3O^+]^2\).

Step2: Solve for \([H_3O^+]\)

Given \(K_w = 2.93\times10^{-15}\), then \([H_3O^+]=\sqrt{K_w}\).

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Answer:

\(5.41\times 10^{-8}\text{ M}\)