Question

The degree of freedom for tri-atomic gas is

• A. $6$
• B. $4$
• C. $2$
• D. $8$

Answer 1

The correct option is A

$6$

The explanation for the correct option:

Option (a) $6$

Degree of Freedom:

• The degree of freedom refers to the number of independent ways a gas molecule can travel.
• It is an independent physical parameter in the formal definition of a physical system's state.
• The number of degrees of freedom refers to how many different ways a molecule in the gas phase may move, spin, or vibrate in space.

• The degrees of freedom of the system is given by the formula

$\mathrm{f}=3\mathrm{N}–\mathrm{K}$
Where,

1. $\mathrm{f}=$ degrees of freedom
2. $\mathrm{N}=$Number of Particles in the system.
3. $\mathrm{K}=$ Independent relation among the particles

• For a tri-atomic gas

$$\begin{gathered} \mathrm{N}=3 \\ \mathrm{K}=3 \\ \mathrm{f}=3\times 3–3 \\ \mathrm{f}=9–3 \\ \mathrm{f}=6 \end{gathered}$$

Therefore, the degree of freedom of tri-atomic gas is $6$.

So, the correct option is (a).