The solubility product constant (Ksp) of copper(I) hydroxide (CuOH) is 2.00 × 10-15. What is its molar solubility (S0) in mol/L? 3.89 × 10-8 mol/L 4.47 × 10-8 mol/L 5.01 × 10-8 mol/L 5.23 × 10-8 mol/L
Question
The solubility product constant (Ksp) of copper(I) hydroxide (CuOH) is 2.00 × 10-15. What is its molar solubility (S0) in mol/L? 3.89 × 10-8 mol/L 4.47 × 10-8 mol/L 5.01 × 10-8 mol/L 5.23 × 10-8 mol/L
Solution
The solubility product constant (Ksp) is given by the product of the concentrations of the ions in a saturated solution of an ionic compound. For copper(I) hydroxide (CuOH), the dissolution can be represented as:
CuOH(s) ⇌ Cu+(aq) + OH-(aq)
The Ksp expression for this reaction is:
Ksp = [Cu+][OH-]
Since the molar solubility (S0) is the concentration of CuOH that can dissolve in solution, we can assume that for each mole of CuOH that dissolves, one mole of Cu+ and one mole of OH- are produced. Therefore, [Cu+] = [OH-] = S0.
Substituting these into the Ksp expression gives:
Ksp = S0^2
Solving for S0 gives:
S0 = sqrt(Ksp)
Substituting the given value of Ksp = 2.00 × 10^-15 gives:
S0 = sqrt(2.00 × 10^-15) = 1.41 × 10^-8 mol/L
None of the provided options match this result. There may be a mistake in the question or the provided options.
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