Spring 2006 9 Misc

In a high vacuum system, a spherical chamber of radius R = 1 m is pumped through a small hole of radius a = 3 cm. You may assume that the pump is perfect in that no atoms pass back through the hole into the chamber. The stainless steel chamber has been “baked” so that the room temperature rate of outgassing from the surface is 1012 molecules/m2·sec (primarily H2). Determine the equilibrium pressure in the chamber at room temperature.

Hint: The mean free path between collisions is large compared to R. You may need the values kB = 1.4 × 10−23JK−1 and mH2 = 3.4 × 10−27kg.




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