Select correct statement(s):

Options

A. The velocity at which distribution of molecules is maximum is called most probable velocity
B. Most probable velocity of a gas is larger than root mean square velocity
C. Both statements are correct
D. None is correct

Explanation

To solve the question regarding the correct statements about the properties of gas molecules, we will analyze the concepts of most probable speed, average speed, and root mean square speed.

### Step-by-Step Solution:

1. **Understanding Most Probable Speed (V_mps)**:
- The most probable speed (V_mps) is defined as the speed at which the maximum number of gas molecules are moving. It can be calculated using the formula:
\[ V_{mps} = \sqrt{\frac{2RT}{M}} \]
where \( R \) is the gas constant (8.314 J/(K·mol)), \( T \) is the temperature in Kelvin, and \( M \) is the molar mass in kg.

**Hint**: Remember that V_mps represents the speed at which the highest number of gas molecules are found.

2. **Comparison of Speeds**:
- In the kinetic theory of gases, the following relationships hold true:
- \( V_{rms} > V_{average} > V_{mps} \)
- This means that the root mean square speed (V_rms) is always greater than the average speed (V_average), which in turn is greater than the most probable speed (V_mps).

**Hint**: Keep in mind the order of speeds: V_rms is the largest, followed by V_average, and V_mps is the smallest.

3. **Evaluating the Statements**:
- The first statement claims that the most probable speed is the speed at which the distribution of molecules is maximum. This is correct.
- The second statement claims that the most probable velocity of a gas is larger than the root mean square velocity. This is incorrect, as we established that V_rms is greater than V_mps.

**Hint**: Verify each statement against the definitions and relationships of the speeds.

4. **Conclusion**:
- The only correct statement is that the most probable speed is the speed at which the distribution of molecules is maximum. The statement about V_mps being larger than V_rms is false.

### Final Answer:
- The correct statement is: "The most probable speed is the speed at which the distribution of molecules is maximum."