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Question

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

A
52kBT
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B
72kBT
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C
12kBT
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D
32kBT
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Solution

## The correct option is D 32kBTFor a monatomic gas, the total degree of freedom is 3. Thus, the energy of monatomic gas is on account of its translational energy along x, y, z directions respectively. ⇒ The translational kinetic energy per degree of freedom per gas molecule is 12kBT Thus, the average thermal energy of monatomic gas per molecule is, ET=3×12kBT ∴ET=32kBT

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