Consider two large chambers that communicate with each other only through a small aperture of area A

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Consider two large chambers that communicate with each other only through a small aperture of area A in a very thin wall, as indicated in Fig. 11. The chambers contain an ideal gas at a very low pressure, such that the particle mean free path is much larger than the dimensions of A. The temperatures of the chambers are T1 and T2. Determine the ratio p1/p2 of pressure in the two chambers assuming that, under equilibrium conditions, the flux of particles through the aperture A from one chamber must equal that from the other. What would be the result in the case of normal conditions of pressure? Give a physical explanation for the two different results.


Figure 11

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