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, we can use the formula for the degrees of freedom (F):

**Step 1: Identify the formula for degrees of freedom.**
The formula for degrees of freedom for a gas molecule is given by:
\[ F = 3n - k \]
where:
- \( n \) is the number of molecules (in this case, for a triatomic gas, \( n = 3 \)),
- \( k \) is the number of constraints (which is 3 for a non-linear molecule).

**Step 2: Substitute the values into the formula.**
For a non-linear triatomic gas:
- \( n = 3 \) (since it is triatomic),
- \( k = 3 \) (because it is non-linear).

Now substituting these values into the formula:
\[ F = 3(3) - 3 \]

**Step 3: Calculate the degrees of freedom.**
Now, calculate the expression:
\[ F = 9 - 3 = 6 \]

**Step 4: State the final answer.**
Thus, the degrees of freedom of a molecule of a non-linear triatomic gas is \( 6 \).