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A monoatomic gas of molar mass M 0 is filled into an insulated container which is moving along a horizontal surface with velocity a v . If the container is stopped suddenly, then the change in temperature of the gas is

Options

  1. AM 0 v 2 2 R
  2. BM 0 v 2 3 R
  3. C2 M 0 v 2 3 R
  4. D3 M 0 v 2 2 R

Correct answer

B. M 0 v 2 3 R

Step-by-step solution

If the container is suddenly stopped loss in kinetic energy of the gas is Δ K = 1 2 n M 0 v 2 , where n is the number of moles of the gas. If Δ T is the change in the temperature of the gas, then 3 2 n R Δ T = 1 2 n M 0 v 2 Δ T = M 0 v 2 3 R

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