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Question

The Ksp of Mg(OH)2 is 1.8 × 10⁻¹¹ . What is the pH at which [Mg²⁺] = 1.0 × 10⁻⁴ M in a saturated solution?

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Explanation

For Mg(OH)2 <=> Mg²⁺ + 2OH- , Ksp = [Mg²⁺][OH-]² = 1.8 × 10⁻¹¹ , (1.0 × 10⁻⁴)[OH-]² = 1.8 × 10⁻¹¹ , [OH-]² = 1.8 × 10⁻⁷ , [OH-] = 1.34 × 10⁻⁴ , pOH = 3.87 , pH = 14 - 3.87 = 10.13 .

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