---
title: "A student prepares a saturated solution by adding an excess of a sparingly soluble metal hydroxide, \\(\\text{M(OH)}_2\\text{(s)}\\), to an aqueous buffer solution maintained at a constant \\(\\text{pH}\\) of \\(11.00\\) at \\(25^\\circ\\text{C}\\). The dissolution equilibrium and solubility product constant are shown below:  \\[ \\text{M(OH)}_2\\text{(s)} \\rightleftharpoons \\text{M}^{2+}\\text{(aq)} + 2\\,\\text{OH}^-\\text{(aq)} \\quad\\quad K_{sp} = 4.0 \\times 10^{-12} \\text{ at } 25^\\circ\\text{C} \\]  Assuming the buffer capacity is sufficient to maintain the \\(\\text{pH}\\) at \\(11.00\\), what is the molar solubility of \\(\\text{M(OH)}_2\\text{(s)}\\) in this buffer solution?"
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date_modified: "2026-09-28T12:30:34+00:00"
---

# A student prepares a saturated solution by adding an excess of a sparingly soluble metal hydroxide, \(\text{M(OH)}_2\text{(s)}\), to an aqueous buffer solution maintained at a constant \(\text{pH}\) of \(11.00\) at \(25^\circ\text{C}\). The dissolution equilibrium and solubility product constant are shown below:

\[ \text{M(OH)}_2\text{(s)} \rightleftharpoons \text{M}^{2+}\text{(aq)} + 2\,\text{OH}^-\text{(aq)} \quad\quad K_{sp} = 4.0 \times 10^{-12} \text{ at } 25^\circ\text{C} \]

Assuming the buffer capacity is sufficient to maintain the \(\text{pH}\) at \(11.00\), what is the molar solubility of \(\text{M(OH)}_2\text{(s)}\) in this buffer solution?

A student prepares a saturated solution by adding an excess of a sparingly soluble metal hydroxide, \(\text{M(OH)}_2\text{(s)}\), to an aqueous buffer solution maintained at a constant \(\text{pH}\) of \(11.00\) at \(25^\circ\text{C}\). The dissolution equilibrium and solubility product constant are shown below:

\[ \text{M(OH)}_2\text{(s)} \rightleftharpoons \text{M}^{2+}\text{(aq)} + 2\,\text{OH}^-\text{(aq)} \quad\quad K_{sp} = 4.0 \times 10^{-12} \text{ at } 25^\circ\text{C} \]

Assuming the buffer capacity is sufficient to maintain the \(\text{pH}\) at \(11.00\), what is the molar solubility of \(\text{M(OH)}_2\text{(s)}\) in this buffer solution?

- **A.** \(4.0 \times 10^{-6} \text{ M}\)
- **B.** \(8.0 \times 10^{-6} \text{ M}\)
- **C.** \(1.0 \times 10^{-4} \text{ M}\)
- **D.** \(2.0 \times 10^{-3} \text{ M}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/123855/*