The kinetic theory of gases gives the formula `PV=1/3Nmv^(2)` for the pressure P exerted by a gas enclosed in a volume V. The term Nm represents

Options

A. the mass of a mole of the gas
B. the mass of the present in the volume V
C. the averatge mass of one molecule of the gas
D. the total number of molecules present in volume V

Answer

To solve the question regarding the term \( Nm \) in the kinetic theory of gases formula \( PV = \frac{1}{3} N m v^2 \), we can break it down into the following steps:

### Step-by-Step Solution:

1. **Understand the Variables in the Equation**:
- The equation \( PV = \frac{1}{3} N m v^2 \) relates pressure \( P \), volume \( V \), number of molecules \( N \), mass of each molecule \( m \), and the average speed \( v \) of the gas molecules.

2. **Identify the Components of \( Nm \)**:
- In the term \( Nm \):
- \( N \) represents the total number of gas molecules in the volume \( V \).
- \( m \) represents the mass of each individual gas molecule.

3. **Combine the Terms**:
- When you multiply \( N \) (the number of molecules) by \( m \) (the mass of each molecule), you get the total mass of the gas in the volume \( V \).
- Therefore, \( Nm \) represents the total mass of the gas present in the volume \( V \).

4. **Conclusion**:
- Based on the analysis, we conclude that the term \( Nm \) in the equation represents the mass of the gas present in the volume \( V \).

### Final Answer:
The term \( Nm \) represents the mass of the gas present in the volume \( V \).

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