Which one of the following statements regarding Henry’s law is not correct?

Options

A. Higher the value of `K_(H)` at a given pressure, higher is the solubility of the gas in the liquids
B. The value of `K_(H)` increases with increase of temperature and `K_(H)` is function of the nature of the gas
C. Different gases have different `K_(H)` (Henry’s law constant) values at the same temperature
D. The partial pressure of the gas in vapour phase is proportional to the mole fraction of the gas in the solution

Explanation

To determine which statement regarding Henry's law is not correct, we need to analyze each option provided:

1. **Understanding Henry's Law**: Henry's law states that the amount of gas that dissolves in a liquid at a given temperature is directly proportional to the partial pressure of that gas above the liquid. This can be expressed mathematically as:
\[ P = k_H \cdot x \]
where \( P \) is the partial pressure of the gas, \( k_H \) is Henry's law constant, and \( x \) is the mole fraction of the gas in the solution.

2. **Analyzing Each Statement**:
- **Statement A**: "Higher the value of \( k_H \) at a given pressure, higher is the solubility of the gas in the liquids."
- This statement is incorrect. A higher value of \( k_H \) actually indicates lower solubility of the gas in the liquid. Therefore, as \( k_H \) increases, the solubility decreases.

- **Statement B**: "The value of \( k_H \) increases with increase of temperature and \( k_H \) is a function of the nature of the gas."
- This statement is correct. Generally, as temperature increases, the solubility of gases in liquids decreases, leading to an increase in \( k_H \).

- **Statement C**: "Different gases have different \( k_H \) Henry's law constant values at the same temperature."
- This statement is also correct. Each gas has a unique \( k_H \) value based on its properties.

- **Statement D**: "The partial pressure of the gas in the vapor phase is proportional to the mole fraction of the gas in the solution."
- This statement is correct and aligns with the definition of Henry's law.

3. **Conclusion**: The only incorrect statement is **Statement A**.

### Final Answer:
The incorrect statement regarding Henry's law is:
**A. Higher the value of \( k_H \) at a given pressure, higher is the solubility of the gas in the liquids.**