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Concepts Of Physics MCQ Edition [Volume 2]PhysicsKinetic Theory of Gases

A mixture of oxygen and hydrogen is maintained at room temperature. Compared to a hydrogen molecule, an oxygen molecule strikes the wall

Options

  1. Awith a smaller average speed
  2. Bwith a smaller average kinetic energy
  3. Cwith a greater average kinetic energy
  4. Dwith a greater average speed

Correct answer

A. with a smaller average speed

Step-by-step solution

The average translational kinetic energy of a gas molecule depends only on the absolute temperature and is given by E = 3 2 k_B T . Since both oxygen and hydrogen are in the same mixture at the same room temperature, their molecules have the same average kinetic energy. The average speed of a gas molecule is given by v_ avg = 8 k_B T m . Since the mass of an oxygen molecule is greater than the mass of a hydrogen molecule ( m_ O₂ > m_ H₂ ), the average speed of an oxygen molecule is smaller than that of a hydrogen m

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