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27 Nov 2019

44. Q|C The mean free path ? of a molecule is the average distancethat a molecule travels before colliding with another molecule. Itis given by

where d is the diameter of the molecule and NV is the number ofmolecules per unit volume. The number of collisions that a moleculemakes with other molecules per unit time, or collision frequency f,is given by,

(a) If the diameter of an oxygen molecule is 2.00 ? 10–10 m, findthe mean free path of the molecules in a scuba tank that has avolume of 12.0 L and is filled with oxygen at a gauge pressure of100 atm at a temperature of 25.0?C. (b) What is the average timeinterval between molecular collisions for a molecule of thisgas?

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