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NEET2024PhysicsKinetic Theory of GasesActual

According to the law of equipartition of energy, the number of vibrational modes of a polyatomic gas of constant = C_p C_v is ( C_P where C_v are the specific heat capacities of the gas at constant pressure and constant volume, respectively):

Options

  1. A4+3 -1
  2. B3+4 -1
  3. C4-3 -1
  4. D3-4 -1

Correct answer

C. 4-3 -1

Step-by-step solution

A polygamic gas has 3 translational, 3 rotational and f vibration modes U= 3 2 k_B T+ 3 2 k_B T+f k_B TU=(3+f) k_B TC_V=(3+f) RC_p=(4+f) R C_p C_v = 4+f 3+f = 4+f=3 +f 4-3 =f( -1) f= 4-3 -1

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