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What is [H₃O⁺] when [OH⁻] = 3.3 x 10⁻⁹ M?

A. 3.0 x 10⁻⁶ M
B. 3.3 x 10⁻⁹ M
C. 1.0 x 10⁻⁷ M
D. 3.3 x 10⁻⁵ M

1 Answer

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Final answer:

When the concentration of hydroxide ions ([OH-]) is 3.3 x 10^-9 M, the concentration of hydronium ions ([H3O+]) can be found using the ion product of water, resulting in a [H3O+] of 3.0 x 10^-6 M.

Step-by-step explanation:

To find the concentration of hydronium ions ([H3O+]) when the concentration of hydroxide ions ([OH-]) is given, you can use the product of their concentrations, which is always equal to 1.0 × 10-14 at 25°C (298 K). This relationship is represented by the equation:

[H3O+] × [OH-] = 1.0 × 10-14

Given that [OH-] = 3.3 × 10-9 M, you can rearrange the equation to solve for [H3O+]:

[H3O+] = × 10-14 / [OH-]

[H3O+] = 1.0 × 10-14 / 3.3 × 10-9

[H3O+] = 3.03 × 10-6 M

Therefore, the correct answer is:

A. 3.0 × 10-6 M

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