Multiple Choice
Which of the following is the correct solubility product expression (Ksp) for magnesium phosphate, Mg3(PO4)2, when it dissociates in water?
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18. Aqueous Equilibrium
Solubility Product Constant: Ksp
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What is the concentration of Al³⁺ ions in a saturated solution of Al(OH)₃ with a Ksp of 1.3 × 10⁻³³?
A
1.0 × 10⁻⁹ M
B
1.0 × 10⁻¹¹ M
C
1.0 × 10⁻¹⁵ M
D
1.0 × 10⁻¹³ M
Verified step by step guidance1
Identify the dissolution equation for Al(OH)₃: Al(OH)₃(s) ⇌ Al³⁺(aq) + 3OH⁻(aq).
Write the expression for the solubility product constant (Ksp) for Al(OH)₃: Ksp = [Al³⁺][OH⁻]³.
Let the solubility of Al(OH)₃ be 's' mol/L. Then, [Al³⁺] = s and [OH⁻] = 3s.
Substitute the expressions for [Al³⁺] and [OH⁻] into the Ksp expression: Ksp = (s)(3s)³ = 27s⁴.
Set the Ksp value equal to 27s⁴ and solve for 's' to find the concentration of Al³⁺ ions: 1.3 × 10⁻³³ = 27s⁴.
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