The mean free path , of a molecule is the average distance

Chapter 21, Problem 48

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The mean free path , of a molecule is the average distance that a molecule travels before colliding with another molecule. It is given by , 5 1 !2pd 2 NV where d is the diameter of the molecule and NV is the number of molecules per unit volume. The number of collisions that a molecule makes with other molecules per unit time, or collision frequency f, is given by f 5 vavg , (a) If the diameter of an oxygen molecule is 2.00 3 10210 m, find the mean free path of the molecules in a scuba tank that has a volume of 12.0 L and is filled with oxygen at a gauge pressure of 100 atm at a temperature of 25.08C. (b) What is the average time interval between molecular collisions for a molecule of this gas?

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