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MHT CET Medical202621 April 2026Evening ShiftPhysicsKinetic Theory of GasesActual

For a rigid diatomic molecule, universal gas constant R = n C_p where ' C_p ' is the molar specific heat at constant pressure. The value of fractional number ' n ' is

Options

  1. A4/9
  2. B2/7
  3. C3/8
  4. D5/6

Correct answer

B. 2/7

Step-by-step solution

For a rigid diatomic molecule, the number of degrees of freedom is f = 5 . The molar specific heat at constant volume is C_v = f 2 R = 5 2 R . The molar specific heat at constant pressure is C_p = C_v + R = 5 2 R + R = 7 2 R . Given the relation R = n C_p . Substituting the value of C_p , we get R = n ( 7 2 R ) . Solving for n , we get n = 2 7 . Answer: 2/7

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