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Concepts Of Physics MCQ Edition [Volume 2]PhysicsSpecific Heat Capacities of Gases

Four cylinders hold equal numbers of moles of argon, hydrogen, nitrogen, and carbon dioxide at the same temperature. The energy is minimum in

Options

  1. Ahydrogen
  2. Bcarbon dioxide
  3. Cargon
  4. Dnitrogen

Correct answer

C. argon

Step-by-step solution

The internal energy of an ideal gas is given by U = f 2 nRT , where f is the number of degrees of freedom. Since the number of moles n and temperature T are the same for all four gases, the internal energy is directly proportional to the degrees of freedom f . For argon (monoatomic gas), f = 3 . For hydrogen and nitrogen (diatomic gases), f = 5 . For carbon dioxide (polyatomic gas), f 5 . Since argon has the minimum number of degrees of freedom, its internal energy is the minimum.

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