STATEMENT-1 : Solubility of a gas in a liquid solution is a function of the partial pressure of the gas.
STATEMENT-2 : Mole fraction of the gas in a solution is proportional to the partial pressure of the gas.
STATEMENT-3 : Higher the value of `k_(H)` at a given pressure, the lower is the solubility of the gas in the liquid.

Options

A. T T T
B. F T T
C. F T F
D. T F F

Answer

To analyze the statements provided in the question, we will evaluate each statement based on the principles of gas solubility in liquids, particularly Henry's Law.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- **Statement**: "Solubility of a gas in a liquid solution is a function of the partial pressure of the gas."
- **Analysis**: According to Henry's Law, the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas above the liquid. This means that as the partial pressure increases, the solubility of the gas in the liquid also increases.
- **Conclusion**: This statement is **True**.

2. **Understanding Statement 2**:
- **Statement**: "Mole fraction of the gas in a solution is proportional to the partial pressure of the gas."
- **Analysis**: From Henry's Law, we can express the relationship as \( p = k_H \cdot x \), where \( p \) is the partial pressure, \( k_H \) is Henry's constant, and \( x \) is the mole fraction of the gas in the solution. This indicates that the mole fraction of the gas is indeed proportional to the partial pressure of the gas.
- **Conclusion**: This statement is **True**.

3. **Understanding Statement 3**:
- **Statement**: "Higher the value of \( k_H \) at a given pressure, the lower is the solubility of the gas in the liquid."
- **Analysis**: Rearranging the equation from Henry's Law gives us \( k_H = \frac{p}{x} \). This shows that if \( k_H \) increases while the pressure remains constant, the mole fraction \( x \) (which represents solubility) must decrease. Therefore, a higher \( k_H \) correlates with lower solubility.
- **Conclusion**: This statement is **True**.

### Final Conclusion:
All three statements are true based on the principles of gas solubility in liquids as described by Henry's Law.