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JEE Main2017PhysicsKinetic Theory of GasesActual

N moles of diatomic gas in a cylinder is at a temperature T . Heat is supplied to the cylinder such that the temperature remains constant but n moles of the diatomic gas get converted into monoatomic gas. The change in the total kinetic energy of the gas is

Options

  1. A0
  2. B5 2 n R T
  3. C3 2 n R T
  4. D1 2 n R T

Correct answer

D. 1 2 n R T

Step-by-step solution

Initial kinetic energy of the system, U i = N 5 2 R T Final kinetic energy of the system, U f = 2 n 3 2   R T + N - n 5 2 R T ⇒ U f = 1 2 n R T + 5 2 N R T Δ U = Q = 1 2 n R T .

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