Which of the following substances will lose its whose solubility with increase in temperature?

Options

A. `NaOH`
B. `Na_(2)CO_(3)`
C. `Na_(2)SO_(4)`
D. All

Explanation

To determine which substances will lose their solubility with an increase in temperature, we need to analyze the solubility behavior of the given compounds. Generally, the solubility of salts in water can be affected by temperature in different ways, but most salts tend to become more soluble as temperature increases. However, some salts, particularly those that undergo exothermic dissolution, may lose solubility with an increase in temperature.

### Step-by-Step Solution:

1. **Understanding Solubility and Temperature Relationship**:
- The solubility of a substance in water can either increase or decrease with temperature. For most salts, solubility increases with temperature, but for some, it decreases.

2. **Analyzing Sodium Hydroxide (NaOH)**:
- Sodium hydroxide is a strong base that dissociates completely in water:
\[ \text{NaOH (s)} \rightarrow \text{Na}^+ (aq) + \text{OH}^- (aq) \]
- The dissolution of NaOH is an exothermic process, meaning it releases heat. Therefore, as the temperature increases, the solubility of NaOH decreases.

3. **Analyzing Sodium Carbonate (Na2CO3)**:
- Sodium carbonate also dissociates in water:
\[ \text{Na}_2\text{CO}_3 (s) \rightarrow 2 \text{Na}^+ (aq) + \text{CO}_3^{2-} (aq) \]
- The dissolution of sodium carbonate is also exothermic, leading to a decrease in solubility with an increase in temperature.

4. **Analyzing Sodium Sulfate (Na2SO4)**:
- Sodium sulfate dissociates in water as follows:
\[ \text{Na}_2\text{SO}_4 (s) \rightarrow 2 \text{Na}^+ (aq) + \text{SO}_4^{2-} (aq) \]
- The dissolution of sodium sulfate can also be exothermic, which means it may also lose solubility with an increase in temperature.

5. **Conclusion**:
- Since all three substances (NaOH, Na2CO3, and Na2SO4) exhibit exothermic dissolution, they will lose solubility as the temperature increases. Therefore, the answer is that all of these substances will lose their solubility with an increase in temperature.

### Final Answer:
All of the substances (NaOH, Na2CO3, Na2SO4) will lose their solubility with an increase in temperature.