Assume that a nitrogen molecule acts as a hard sphere with radius 1.60 Å. If you have a vacuum chamber that is 1.00 m on a side, what pressure would it have to be pumped down to in order that a nitrogen molecule has a reasonable chance of not colliding with another nitrogen molecule going from one side to the other (that is, the mean free path is 1.00 m)? Assume a temperature of 22.0°C.
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