D3 ions? (Ksp of La(IO3)3 is 7.5 × 10 12)

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Problem Statement:**

What is the solubility of La(IO₃)₃ in a solution that contains 0.500 M IO₃⁻ ions? (Ksp of La(IO₃)₃ is 7.5 × 10⁻¹²)

**Explanation:**

In this problem, we are asked to find the solubility of lanthanum iodate, La(IO₃)₃, in a solution that already contains a concentration of iodate ions (IO₃⁻) at 0.500 M. The solubility product constant (Ksp) for La(IO₃)₃ is given as 7.5 × 10⁻¹².

**Conceptual Approach:**

To solve this, we apply the concept of solubility product equilibrium and use the given Ksp value. 

- Firstly, we write the chemical equation for the dissociation of La(IO₃)₃ in water:

  La(IO₃)₃ (s) ⇌ La³⁺ (aq) + 3 IO₃⁻ (aq)

- The expression for the solubility product (Ksp) is:

  Ksp = [La³⁺][IO₃⁻]³

Given that the initial concentration of IO₃⁻ is 0.500 M, we will incorporate this into the Ksp expression to find the solubility of La³⁺ in the solution. 

The terms will be adjusted according to the stoichiometry of the reaction and the concentration changes during the dissolution process. 

**Note:**

This problem involves the common ion effect, where the presence of a common ion (IO₃⁻ in this case) affects the solubility of the compound.
Transcribed Image Text:**Problem Statement:** What is the solubility of La(IO₃)₃ in a solution that contains 0.500 M IO₃⁻ ions? (Ksp of La(IO₃)₃ is 7.5 × 10⁻¹²) **Explanation:** In this problem, we are asked to find the solubility of lanthanum iodate, La(IO₃)₃, in a solution that already contains a concentration of iodate ions (IO₃⁻) at 0.500 M. The solubility product constant (Ksp) for La(IO₃)₃ is given as 7.5 × 10⁻¹². **Conceptual Approach:** To solve this, we apply the concept of solubility product equilibrium and use the given Ksp value. - Firstly, we write the chemical equation for the dissociation of La(IO₃)₃ in water: La(IO₃)₃ (s) ⇌ La³⁺ (aq) + 3 IO₃⁻ (aq) - The expression for the solubility product (Ksp) is: Ksp = [La³⁺][IO₃⁻]³ Given that the initial concentration of IO₃⁻ is 0.500 M, we will incorporate this into the Ksp expression to find the solubility of La³⁺ in the solution. The terms will be adjusted according to the stoichiometry of the reaction and the concentration changes during the dissolution process. **Note:** This problem involves the common ion effect, where the presence of a common ion (IO₃⁻ in this case) affects the solubility of the compound.
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