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JEE Main202125 Feb 2021Morning ShiftPhysicsKinetic Theory of GasesActual

A monoatomic gas of mass 4 . 0   u is kept in an insulated container. The container is moving with velocity 30   m   s - 1 . If the container is suddenly stopped then a change in temperature of the gas ( R = gas constant) is x 3 R . Value of x is,

Correct answer

3600

Step-by-step solution

Given that mass of gas is 4 u hence its molar mass M is 4   g   mol - 1 ∴ 1 2 m v 2 = n C v Δ T ⇒ 1 2   m × 30 2 = m M × 3 R 2 × Δ T ∴     Δ T = 3600 3 R

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