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JEE Main201910 Apr 2019Morning ShiftPhysicsKinetic Theory of GasesActual

A 25 × 10 - 3 m 3 volume cylinder is filled with 1 mol of O 2 gas at room temperature ( 300 K ) . The molecular diameter of O 2 , and its root mean square speed, are found to be 0.3 n m and 200 m / s , respectively. What is the average collision rate (per second) for an O 2 molecule?

Options

  1. A~ 10 11
  2. B~ 10 12
  3. C~ 10 10
  4. D~ 10 13

Correct answer

B. ~ 10 12

Step-by-step solution

Average collision rate = n v -   d 2 π = 6.023 × 10 23 25 × 10 - 3 × 8 3 π × 200 × 0.3 × 10 - 9 2 π ≈ 4 × 10 - 12

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