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

Which of the following determines the average momentum of a molecule in a sample of an ideal gas?

Options

  1. AThe number of moles in the sample
  2. BThe volume of the gas
  3. CThe temperature of the gas
  4. DIt is always zero, thus independent of these parameters

Correct answer

D. It is always zero, thus independent of these parameters

Step-by-step solution

Momentum is a vector quantity given by p = m v . In an ideal gas, the molecules are in continuous, random motion in all possible directions. For every molecule moving with a certain velocity v , there is, on average, another molecule moving with velocity - v . As a result, the average velocity of the molecules in a stationary container is zero, i.e., v = 0 . Therefore, the average momentum of a molecule is p = m v = 0 . Since it is always zero, it is independent of the number of moles, volume, and temperature of th

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