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Question

The average thermal energy for a mono-atomic gas is : ($$k_B$$ is Boltzmann constant and $$T$$, absolute temperature)

A

$$\dfrac{3}{2}k_B T$$

B

$$\dfrac{5}{2}k_B T$$

C

$$\dfrac{7}{2}k_B T$$

D

$$\dfrac{1}{2}k_B T$$

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Solution

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Correct option is A. $$\dfrac{3}{2}k_B T$$
The average thermal energy for the mono-atomic gas is given by:
$$E=\dfrac32 k_BT$$

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