A sparingly soluble divalent metal hydroxide,

CHEMISTRY · Multi-part · AP · Chemistry · Acids and Bases · Acids and Bases

Problem

A sparingly soluble divalent metal hydroxide, M(OH)2\text{M(OH)}_2, is in equilibrium with pure water at 25 ∘C25\,^{\circ}\text{C}. Solubility-product data: Ksp=2.0×10−10K_{sp} = 2.0 \times 10^{-10}. A student investigates how the extent of precipitation of M(OH)2\text{M(OH)}_2 changes as the pH of the solution is lowered by adding a strong monoprotic acid. Answer the following questions. (Assume temperature remains constant and activity coefficients are unity.) (a) Write the balanced chemical equation for the dissolution of solid M(OH)2\text{M(OH)}_2 in water and the corresponding symbolic expression that relates the concentrations of the dissolved ions at equilibrium. (b) Describe, without performing any calculations, how the concentration of dissolved M2+\text{M}^{2+} ions will change when the pH is decreased from 10.00 to 7.00. Your explanation should refer explicitly to changes in ionic species present and shifts in equilibrium. (c) Explain why a sufficiently low pH ultimately prevents any precipitation of M(OH)2\text{M(OH)}_2, even if excess solid is present. Include a discussion of the relative magnitudes of the ionic product and the solubility product under acidic conditions.

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