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JEE Main202325 Jan 2023Evening ShiftPhysicsThermal Properties of MatterActual

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is :-

Options

  1. A9 2 R
  2. B5 2 R
  3. C3 2 R
  4. D7 2 R

Correct answer

D. 7 2 R

Step-by-step solution

A diatomic gas has 5 degrees of freedom apart from vibrational degree of freedom. For each additional vibrational mode, degree of freedom is increased by 2 . So new degree of freedom, f = 5 + 2 = 7 Therefore, we require molar specific heat capacity at constant volume, which is given by C v = f 2 R = 7 2 R

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