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JEE Main202116 Mar 2021Evening ShiftPhysicsKinetic Theory of GasesActual

Calculate the value of the mean free path λ for oxygen molecules at temperature 27 ° C and pressure 1 . 01 × 10 5 Pa . Assume the molecular diameter 0 . 3 nm and the gas is ideal. k = 1 . 38 × 10 - 23 J K - 1

Options

  1. A58   nm
  2. B32   nm
  3. C86   nm
  4. D102   nm

Correct answer

D. 102   nm

Step-by-step solution

λ = R T 2 π d 2   N A P λ = 8 . 314 × 300 2 × 3 . 14 × 0 . 3 × 10 - 9 2 × 6 . 023 × 10 23 × 1 . 01 × 10 5 λ = 102   nm

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