Table of contents

18. Aqueous Equilibrium

Solubility Product Constant: Ksp

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Multiple Choice

What is the concentration of Al³⁺ ions in a saturated solution of Al(OH)₃ with a Ksp of 1.3 × 10⁻³³?

1.0 × 10⁻⁹ M

1.0 × 10⁻¹¹ M

1.0 × 10⁻¹⁵ M

1.0 × 10⁻¹³ M

Verified step by step guidance

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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