The mean free path , of a molecule is the average distancethat a molecule travels before

Chapter 21, Problem 48

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The mean free path , of a molecule is the average distancethat a molecule travels before colliding withanother molecule. It is given by, 51!2pd2NVwhere d is the diameter of the molecule and NV is thenumber of molecules per unit volume. The number ofcollisions that a molecule makes with other moleculesper unit time, or collision frequency f, is given byf 5vavg,(a) If the diameter of an oxygen molecule is 2.00 310210 m, find the mean free path of the moleculesin a scuba tank that has a volume of 12.0 L and isfilled with oxygen at a gauge pressure of 100 atm at atemperature of 25.08C. (b) What is the average timeinterval between molecular collisions for a moleculeof this gas?

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