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The hydrogen ion concentration of a 10⁻⁸ M HCl aqueous solution at 298 K (Kᵥ = 10⁻¹⁴) is:

1. 11 × 10⁻⁸ M
2. 9.525 × 10⁻⁸ M
3. 1.0 × 10⁻⁸ M
4. 1.0 × 10⁻⁶ M

Correct answer: 9.525 × 10⁻⁸ M

Solution

In a very dilute HCl solution (10⁻⁸ M), the contribution of H⁺ ions from water (10⁻⁷ M) cannot be ignored. The total [H⁺] is calculated as the sum of H⁺ from HCl and water, leading to approximately 9.525 × 10⁻⁸ M.

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