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JEE Main202118 Mar 2021Evening ShiftPhysicsKinetic Theory of GasesActual

Consider a sample of oxygen behaving like an ideal gas. At 300 K , the ratio of root-mean-square (RMS) velocity to the average velocity of the gas molecule would be : (Molecular weight of oxygen is 32 g mol - 1 ; R = 8 . 3 J K - 1 mol - 1 )

Options

  1. A3 3
  2. B8 3
  3. C3 π 8
  4. D8 π 3

Correct answer

C. 3 π 8

Step-by-step solution

v r m s = 3 R T M v a v g = 8 π R T M v r m s v a v g = 3 π 8

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