In van dor waals gas equation, the term that accounts for the volume occupied by 'n' mole molecules is

Options

A. (V - nb)
B. `frac{an^2}{V^2}`
C. nb
D. `P + frac{an^2}{V^2}`

Answer

To solve the question regarding the Van der Waals gas equation and the term that accounts for the volume occupied by 'n' mole molecules, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Van der Waals Equation**:
The Van der Waals equation for real gases is given by:
\[ \left(P + \frac{a n^2}{V^2}\right)(V - nb) = nRT \]
where:
- \( P \) = pressure of the gas
- \( V \) = volume of the gas
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T \) = temperature of the gas
- \( a \) = measure of the attraction between particles
- \( b \) = volume occupied by one mole of gas molecules

2. **Identify the Correction Terms**:
In the equation, there are two correction terms:
- The term \( \frac{a n^2}{V^2} \) accounts for the attractive forces between gas molecules.
- The term \( nb \) accounts for the volume occupied by the gas molecules themselves.

3. **Focus on the Volume Correction**:
The term \( nb \) represents the total volume occupied by 'n' moles of gas molecules. Here, \( b \) is the volume occupied by one mole of gas, and multiplying it by \( n \) gives the total volume occupied by 'n' moles.

4. **Conclusion**:
Therefore, the term that accounts for the volume occupied by 'n' mole molecules in the Van der Waals equation is \( nb \).

### Final Answer:
The term that accounts for the volume occupied by 'n' mole molecules in the Van der Waals gas equation is \( nb \).

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