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Highly selective Backlog Qs for JEE MainPhysicsKinetic Theory of Gases

A monoatomic gas of molar mass m is kept in a insulated container. Container is moving with velocity v . If the container is suddenly stopped, then the change in the temperature of the gas is

Options

  1. Am v^2 / 4 R
  2. Bm v^2 / 2 R
  3. Cm v^2 / R
  4. Dm v^2 / 3 R

Correct answer

D. m v^2 / 3 R

Step-by-step solution

Let the insulated container has n moles of the monoatomic gas. The loss of kinetic energy of the gas, E_K= 1 2 (m n) v^2 If the change in temperature of the gas is T , then heat gained by the gas is, Q= 3 2 n R T Now, according to question, aligned Q & = E_K 3 2 n R T & = 1 2 m n v^2 T & = m v^2 3 R aligned

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