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MHT CET202613 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

Let ₁ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a mono-atomic gas and ₂ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, ₁ / ₂ is

Options

  1. A27/35
  2. B35/27
  3. C25/21
  4. D21/25

Correct answer

C. 25/21

Step-by-step solution

For a mono-atomic gas, the number of degrees of freedom is f₁ = 3 . The ratio of specific heats is ₁ = 1 + 2 f₁ = 1 + 2 3 = 5 3 . For a diatomic gas acting as a rigid rotator, the number of degrees of freedom is f₂ = 5 (3 translational and 2 rotational). The ratio of specific heats is ₂ = 1 + 2 f₂ = 1 + 2 5 = 7 5 . The required ratio is ₁ ₂ = 5/3 7/5 = 25 21 . Answer: 25/21

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