Which of the following is sparingly soluble in cold water and fairly soluble in hot water?

Options

A. `Pb(NO_(3))_(2)`
B. `PbCl_(2)`
C. `PbSO_(4)`
D. `PbCrO_(4)`

Answer

To determine which compound is sparingly soluble in cold water and fairly soluble in hot water, we will analyze the solubility of each given option.

### Step-by-Step Solution:

1. **Identify the Compounds**: The options provided are:
- Option 1: Lead Nitrate (Pb(NO3)2)
- Option 2: Lead Chloride (PbCl2)
- Option 3: Lead Sulfate (PbSO4)
- Option 4: Lead Chromate (PbCrO4)

2. **Analyze Lead Nitrate (Pb(NO3)2)**:
- Lead Nitrate is soluble in both cold and hot water. Therefore, it does not meet the criteria of being sparingly soluble in cold water.

3. **Analyze Lead Chloride (PbCl2)**:
- Lead Chloride is sparingly soluble in cold water. It forms a white precipitate when mixed with cold water. However, it is fairly soluble in hot water, where it forms a soluble complex (Pb(OH)Cl). This matches the criteria of being sparingly soluble in cold water and fairly soluble in hot water.

4. **Analyze Lead Sulfate (PbSO4)**:
- Lead Sulfate is insoluble in both cold and hot water. Thus, it does not meet the criteria.

5. **Analyze Lead Chromate (PbCrO4)**:
- Lead Chromate is also insoluble in both cold and hot water. Therefore, it does not meet the criteria.

6. **Conclusion**:
- The only compound that is sparingly soluble in cold water and fairly soluble in hot water is Lead Chloride (PbCl2).

### Final Answer:
The correct answer is **Option 2: PbCl2 (Lead Chloride)**.