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JEE Main20203 Sep 2020Morning ShiftPhysicsKinetic Theory of GasesActual

Consider a gas of triatomic molecules. The molecules are assumed to be triangular and made of massless rigid rods whose vertices are occupied by atoms. The internal energy of a mole of the gas at temperature T is:

Options

  1. A5 2 R T
  2. B3 2 R T
  3. C9 2 R T
  4. D3 R T

Correct answer

D. 3 R T

Step-by-step solution

The formula of internal energy of a gas is given by U = f 2 RT Here R is the gas constant and T is temperature. R = 8 . 314   J   mol - 1   K - 1 For the given configuration of triatomic molecules, the degree of freedom f = 6 ⇒   U = 6 2 RT = 3 RT

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