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

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Correct answer: D. m v^2 / 3 R

Let the insulated container has n moles of the monoatomic gas. The loss of kinetic energy of the gas, Δ E_K= (1)/(2)(m n) v² If the change in temperature of the gas is Δ T , then heat gained by the gas is, Δ Q= (3)/(2) n R Δ T Now, according to question, aligned Δ Q & =Δ E_K (3)/(2) n R Δ T & =(1)/(2) m n v² Δ T & =(m v^2)/(3 R) aligned

A monoatomic gas of molar mass m is kept in a insulated container....

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