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COMEDK2023Morning ShiftPhysicsKinetic Theory of GasesActual

The gases carbon monoxide ( CO ) and nitrogen at the same temperature have kinetic energies E₁ and E₂ , respectively. Then,

Options

  1. AE₁=E₂
  2. BE₁< E₂
  3. CNone of these
  4. DE₁> E₂

Correct answer

A. E₁=E₂

Step-by-step solution

The average kinetic energy of a gas molecule is given by the formula E = 3 2 k_B T , where k_B is the Boltzmann constant and T is the absolute temperature of the gas. Since both carbon monoxide (CO) and nitrogen ( N₂ ) are at the same temperature T , the kinetic energy depends only on the temperature and the Boltzmann constant. Therefore, E₁ = 3 2 k_B T and E₂ = 3 2 k_B T . Comparing the two expressions, we find E₁ = E₂ . Answer: E₁=E₂

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