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realitybugll

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**Pressure -- Average Trajectories**

The question is this: if we have two distinct three-dimensional but hallow objects, might the average trajectory (the average distance between ANY two points on the object's surface) vary between the objects?

I am lead to believe the answer is yes between a cube and a sphere of equal volume - though not by much. For circles/squares I've confirmed the average trajectories to differ, though these are 2-d shapes. What's really problematic is calculating the average trajectory for the cube.

If I'm drawing logical conclusions, then this would seem to mean that the pressure experienced in the objects of EQUAL volume by the SAME gaseous particles would be different. At least if your treating them as point particles -- if you consider intermolecular forces and trajectory deflections, etc., its less clear, though I would still think that the principle would hold.

Any insight would be great. Thanks.