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MHT CET202613 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

According to law of equipartition of energy the molar specific heat of a non rigid diatomic gas at constant volume is

Options

  1. A(9/2) R
  2. B(5/2) R
  3. C(3/2) R
  4. D(7/2) R

Correct answer

D. (7/2) R

Step-by-step solution

For a non-rigid diatomic gas, the degrees of freedom are distributed as follows: Translational degrees of freedom = 3 Rotational degrees of freedom = 2 Vibrational degrees of freedom = 2 (since each vibrational mode contributes to both kinetic and potential energy) Total degrees of freedom f = 3 + 2 + 2 = 7 According to the law of equipartition of energy, the internal energy per mole of the gas is given by: U = f 2 RT = 7 2 RT The molar specific heat at constant volume is: C_v = dU dT = 7 2 R Answer: (7/2) R

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