Kinetic Theory · JEE Preparation Physics

According to the law of equipartition of energy, what is the internal energy of 1text{ mole} of a triatomic non-linear gas at absolute temperature T?

Practice question from Kinetic Theory (JEE Preparation Physics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-0A892E

According to the law of equipartition of energy, what is the internal energy of 1 mole1\text{ mole} of a triatomic non-linear gas at absolute temperature TT?

  1. A.32RT\frac{3}{2}RT
  2. B.52RT\frac{5}{2}RT
  3. C.3RT3RTCorrect answer
  4. D.72RT\frac{7}{2}RT

Solution

A non-linear triatomic molecule has 33 translational degrees of freedom and 33 rotational degrees of freedom, making a total of f=6f = 6 degrees of freedom (neglecting vibrational modes unless specified). The internal energy per mole is given by U=f2RT=62RT=3RTU = \frac{f}{2}RT = \frac{6}{2}RT = 3RT.

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