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JEE Main202122 Jul 2021Morning ShiftPhysicsKinetic Theory of GasesActual

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature T ?

Options

  1. A2 3   k B T
  2. Bk B T
  3. C3 2   k B T
  4. D1 2   k B T

Correct answer

C. 3 2   k B T

Step-by-step solution

As per Equi-partition law, each degree of freedom contributes 1 2   k B T average energy. In mono atomic gas, D . O . F . = 3 ⇒ Average energy = 3 × 1 2   k B T = 3 2   k B T

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