The degrees of freedom of a molecul of a non-linear triatomic gas is (ignore vibraional motion)

Options

A. 2
B. 4
C. 6
D. 8

Explanation

To find the degrees of freedom of a molecule of a non-linear triatomic gas while ignoring vibrational motion, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Degrees of Freedom**:
The degrees of freedom (F) for a gas molecule can be calculated using the formula:
\[ F = 3n - K \]
where:
- \( n \) is the number of atoms in the molecule,
- \( K \) is the number of constraints.

2. **Identify the Type of Gas**:
The problem states that we are dealing with a non-linear triatomic gas. A triatomic gas means it has three atoms.

3. **Determine the Value of \( n \)**:
Since it is a triatomic gas, we have:
\[ n = 3 \]

4. **Determine the Value of \( K \)**:
For a non-linear molecule, the number of constraints \( K \) is 3. This accounts for the rotational degrees of freedom that are constrained.

5. **Substitute the Values into the Formula**:
Now, substituting the values of \( n \) and \( K \) into the formula:
\[ F = 3(3) - 3 \]
\[ F = 9 - 3 \]
\[ F = 6 \]

6. **Conclusion**:
Therefore, the degrees of freedom of a molecule of a non-linear triatomic gas (ignoring vibrational motion) is **6**.

### Final Answer:
The degrees of freedom of a molecule of a non-linear triatomic gas is **6**.

---