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MHT CET20242 May 2024Evening ShiftPhysicsKinetic Theory of GasesActual

A fixed mass of gas at constant pressure occupies a volume ' V '. The gas undergoes a rise in temperature so that the r.m.s. velocity of the molecules is doubled. The new volume will be

Options

  1. AV 2
  2. BV 2
  3. C2 V
  4. D4 V

Correct answer

D. 4 V

Step-by-step solution

V _ rms = 3 KT M ~V _ rms ^2 ~T When r.m.s. velocity is doubled, T ₂=4 ~T ... (i) At constant pressure, Volume Temperature aligned & V ₁ ~V ₂ = T ₁ ~T ₂ ~V ~V ₂ & = T 4 ~T ~V ₂ & =4 ~V aligned ...[From(i)]

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