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MHT CET Medical202623 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

According to law of equi-partition of energy the molar specific heat of a rigid diatomic gas at constant pressure is

Options

  1. A9R 2
  2. B7R 2
  3. C5R 2
  4. D3R 2

Correct answer

B. 7R 2

Step-by-step solution

For a rigid diatomic gas, the number of translational degrees of freedom is 3 and the number of rotational degrees of freedom is 2 . Total degrees of freedom, f = 3 + 2 = 5 . According to the law of equipartition of energy, the molar specific heat at constant volume is given by: C_v = f 2 R = 5 2 R Using Mayer's relation, the molar specific heat at constant pressure is: C_p = C_v + R C_p = 5 2 R + R = 7 2 R Answer: 7R 2

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