One gram mole of oxygen at 2 7 ∘ C and one atmospheric pressure is enclosed in a vessel. Assuming the molecules to be moving with v r m s , find the number of collisions per second which the molecul

Question

One gram mole of oxygen at 2 7 ∘ C and one atmospheric pressure is enclosed in a vessel. Assuming the molecules to be moving with v r m s ​ , find the number of collisions per second which the molecules make against one square metre of the vessel wall.

TestHub · Accepted Answer

n = k T P ​ = 1.38 × 1 0 − 23 × 300 1.013 × 1 0 5 ​ = 2.45 × 1 0 25 m − 3 . v r m s ​ = 0.032 3 × 8.314 × 300 ​ ​ = 483.5 m s − 1 . One sixth of the molecules move towards a given wall, so the rate is 6 1 ​ n v = 6 1 ​ × 2.45 × 1 0 25 × 483.5 = 1.97 × 1 0 27 m − 2 s − 1 .

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