Which of the following statement is incorrect :-

Options

A. In soluton of volatile liquids partial pressure of any component is directly propostional to its mole fraction in solution.
B. In closed container, in equilibrium of two volatile liquids and their vapour, mole fraction of more volatile component is higher in vapour phase.
C. Total vapour pressure of solution of binary volatile liquids, decreases on increases mole fruction of any component.
D. Roult's law is a special case of Henry's law in which the value of `K_(H)` and `p^(@)` are identical

Answer

To solve the question regarding which statement is incorrect, we will analyze each option step by step.

### Step 1: Analyze Option 1
**Statement:** In the solution of a volatile liquid, the partial pressure of any component is directly proportional to its mole fraction in the solution.

**Explanation:** This statement is a direct application of Raoult's Law, which states that the partial vapor pressure of a component in a solution is proportional to its mole fraction in that solution. Therefore, this statement is **correct**.

### Step 2: Analyze Option 2
**Statement:** In a closed container in equilibrium of two volatile liquids and their vapor, the mole fraction of the more volatile component is higher in the vapor phase.

**Explanation:** This statement is also correct because more volatile components tend to evaporate more readily, leading to a higher mole fraction in the vapor phase compared to less volatile components. Thus, this statement is **correct**.

### Step 3: Analyze Option 3
**Statement:** The total vapor pressure of a solution of binary volatile liquids decreases on increasing the mole fraction of any component.

**Explanation:** This statement is incorrect. According to Raoult's Law, the total vapor pressure of a solution is the sum of the partial pressures of the components. If the mole fraction of a component increases, the total vapor pressure will also increase, not decrease. Therefore, this statement is **incorrect**.

### Step 4: Analyze Option 4
**Statement:** Raoult's law is a special case of Henry's law in which the value of \( k_h \) and \( P_0 \) are identical.

**Explanation:** This statement is correct. Raoult's Law can be seen as a special case of Henry's Law when the conditions are such that the Henry's constant \( k_h \) equals the vapor pressure of the pure component \( P_0 \). Thus, this statement is **correct**.

### Conclusion
After analyzing all four options, we find that:
- Option 1: Correct
- Option 2: Correct
- Option 3: Incorrect
- Option 4: Correct

Thus, the **incorrect statement** is **Option 3**.

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