`Na_(2)SO_(4)` is soluble in water while `BaSO_(4)` is insoluble. Which of the reason is correct about the above statement.

Options

A. Lattice energy of `BaSO_(4)` exceeds its hydration energy.
B. Hydration energy of `BaSO_(4)` exceeds its lattice energy.
C. The solubility in `H_(2)O` of a compound depends ony on its hydration energy.
D. The solubility in `H_(2)O` of a compound depends only on its lattice enregy.

Explanation

To solve the question regarding the solubility of sodium sulfate (Na₂SO₄) in water compared to barium sulfate (BaSO₄), we need to analyze the concepts of lattice energy and hydration energy.

### Step-by-Step Solution:

1. **Understanding Lattice Energy and Hydration Energy**:
- **Lattice Energy** is the energy required to separate one mole of an ionic solid into its gaseous ions. It is a measure of the strength of the forces between the ions in an ionic compound.
- **Hydration Energy** is the energy released when ions are surrounded by water molecules. It is a measure of the attraction between the ions and the water molecules.

2. **Analyzing the Solubility of Na₂SO₄**:
- Sodium sulfate (Na₂SO₄) is soluble in water. This means that when Na₂SO₄ is added to water, it dissociates into Na⁺ and SO₄²⁻ ions.
- For Na₂SO₄ to be soluble, the hydration energy must be greater than the lattice energy. This means that the energy released when Na⁺ and SO₄²⁻ ions are hydrated must be sufficient to overcome the energy required to break the ionic bonds in the solid Na₂SO₄.

3. **Analyzing the Insolubility of BaSO₄**:
- Barium sulfate (BaSO₄) is insoluble in water. This indicates that the energy required to break the ionic bonds (lattice energy) is greater than the energy released during hydration.
- Therefore, the lattice energy of BaSO₄ exceeds its hydration energy, making it insoluble in water.

4. **Conclusion**:
- The correct reason for the difference in solubility between Na₂SO₄ and BaSO₄ is that the lattice energy of BaSO₄ exceeds its hydration energy, while the hydration energy of Na₂SO₄ is greater than its lattice energy.

### Final Answer:
The correct reason is: **The lattice energy of BaSO₄ exceeds its hydration energy.**