The solubility of Ni3(PO4)2 in water at a particular temperature is 8.0 × 10-4 M. What is Ksp for Ni3(PO4)2?

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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.
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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