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 the principles of Henry's law and the provided options. Here’s a step-by-step solution:

### Step 1: Understand Henry's Law
Henry's law states that the solubility of a gas in a liquid at equilibrium is directly proportional to the partial pressure of that gas above the liquid. Mathematically, it can be expressed as:
\[ P = k_H \cdot X \]
where:
- \( P \) = partial pressure of the gas,
- \( k_H \) = Henry's law constant,
- \( X \) = mole fraction of the gas in the liquid.

### Step 2: Analyze the Options
We need to evaluate the given statements (options) regarding Henry's law to identify which one is incorrect.

#### Option A: Higher the value of \( k_H \), higher the solubility of the gas in the liquid.
- **Analysis**: This statement is incorrect. According to Henry's law, if \( k_H \) (Henry's law constant) is higher, it indicates lower solubility of the gas in the liquid. Therefore, this statement does not hold true.

#### Option B: The value of \( k_H \) increases with an increase in temperature.
- **Analysis**: This statement is correct. Generally, as temperature increases, the solubility of gases decreases, leading to an increase in \( k_H \).

#### Option C: Different gases have different \( k_H \) values at the same temperature.
- **Analysis**: This statement is correct. Different gases have different solubilities in a solvent, which results in different values of \( k_H \).

#### Option D: The partial pressure of gas in the vapor phase is proportional to the mole fraction.
- **Analysis**: This statement is correct. According to Henry's law, the partial pressure of the gas is indeed proportional to its mole fraction in the solution.

### Step 3: Conclusion
Based on the analysis, the incorrect statement regarding Henry's law is:
**Option A: Higher the value of \( k_H \), higher the solubility of the gas in the liquid.**

### Final Answer
The correct answer is **Option A**.

---