The average thermal energy for a mono-atomic gas is ( is Boltzmann constant and , absolute temperature) [2020]

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Solution

Q.
The average thermal energy for a mono-atomic gas is ( $k_{B}$ is Boltzmann constant and $T$ , absolute temperature) [2020]

1 $\frac{1}{2} k_{B} T$

2 $\frac{3}{2} k_{B} T$

3 $\frac{5}{2} k_{B} T$

4 $\frac{7}{2} k_{B} T$

Ans.
(2)

For mono-atomic gas, degree of freedom = 3

Energy associated with each degree of freedom $= \frac{1}{2} k_{B} T$

So, energy is $\frac{3}{2} k_{B} T .$

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