
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Solubility and Ksp Calculation: Ni₃(PO₄)₂**
The solubility of Ni₃(PO₄)₂ in water at a specific temperature is given as 8.0 × 10⁻⁴ M. To find the solubility product constant (Ksp) for Ni₃(PO₄)₂, we can utilize the solubility data.
### Explanation
**Question:**
The problem asks for the Ksp of Ni₃(PO₄)₂ given its solubility.
**Solution Displayed:**
The answer calculated is 5.6442 × 10⁻¹⁷.
### Steps to Calculate Ksp
1. **Dissociation Equation:**
Ni₃(PO₄)₂ ⇌ 3Ni²⁺ + 2PO₄³⁻
2. **Solubility Representation:**
Let the molar solubility of Ni₃(PO₄)₂ be 's'.
- [Ni²⁺] = 3s
- [PO₄³⁻] = 2s
3. **Expression for Ksp:**
Ksp = [Ni²⁺]³[PO₄³⁻]²
Ksp = (3s)³(2s)² = 27s³ × 4s² = 108s⁵
4. Substitute the given solubility:
- s = 8.0 × 10⁻⁴ M
5. Calculate Ksp:
- Ksp = 108 × (8.0 × 10⁻⁴)⁵
- Ksp = 5.6442 × 10⁻¹⁷
This value of Ksp indicates the degree of saturation and the solubility equilibrium for Ni₃(PO₄)₂ in the solution at the given conditions.
**Note:** The image does not contain any graphs or diagrams.](https://content.bartleby.com/qna-images/question/2b31c76d-31c3-4f02-9c7e-c3848d4eba7b/287960a8-7776-46c5-8028-aa2f9ac2be48/6yh2w4j_thumbnail.png)
Transcribed Image Text:**Solubility and Ksp Calculation: Ni₃(PO₄)₂**
The solubility of Ni₃(PO₄)₂ in water at a specific temperature is given as 8.0 × 10⁻⁴ M. To find the solubility product constant (Ksp) for Ni₃(PO₄)₂, we can utilize the solubility data.
### Explanation
**Question:**
The problem asks for the Ksp of Ni₃(PO₄)₂ given its solubility.
**Solution Displayed:**
The answer calculated is 5.6442 × 10⁻¹⁷.
### Steps to Calculate Ksp
1. **Dissociation Equation:**
Ni₃(PO₄)₂ ⇌ 3Ni²⁺ + 2PO₄³⁻
2. **Solubility Representation:**
Let the molar solubility of Ni₃(PO₄)₂ be 's'.
- [Ni²⁺] = 3s
- [PO₄³⁻] = 2s
3. **Expression for Ksp:**
Ksp = [Ni²⁺]³[PO₄³⁻]²
Ksp = (3s)³(2s)² = 27s³ × 4s² = 108s⁵
4. Substitute the given solubility:
- s = 8.0 × 10⁻⁴ M
5. Calculate Ksp:
- Ksp = 108 × (8.0 × 10⁻⁴)⁵
- Ksp = 5.6442 × 10⁻¹⁷
This value of Ksp indicates the degree of saturation and the solubility equilibrium for Ni₃(PO₄)₂ in the solution at the given conditions.
**Note:** The image does not contain any graphs or diagrams.
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