In vander 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 term in the Van der Waals gas equation that accounts for the volume occupied by 'n' mole molecules, we will follow these steps:

### Step 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
- \( V \) = volume
- \( n \) = number of moles
- \( R \) = universal gas constant
- \( T \) = temperature
- \( a \) = Van der Waals constant for attraction between particles
- \( b \) = Van der Waals constant for volume occupied by the gas molecules

### Step 2: Identify the term for volume occupied by 'n' moles
In the Van der Waals equation, the term that accounts for the volume occupied by 'n' moles of gas molecules is represented by \( nb \). This term is subtracted from the total volume \( V \) to give the effective volume available for the gas molecules to move.

### Step 3: Write the effective volume
The effective volume available for the gas molecules is:

\[ V - nb \]

This indicates that the actual volume available for the gas molecules is reduced by the volume occupied by the molecules themselves.

### Step 4: Conclusion
Thus, the term that accounts for the volume occupied by 'n' mole molecules in the Van der Waals gas equation is:

\[ V - nb \]

### Final Answer
The correct option is **V - nb**.

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