Define hole in wall (princeton), Physics

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Define Hole in Wall (Princeton)?

A container is separated into two parts I and II by a partition with a small hole of diameter d Helium gas in the two parts is held at temperatures T₁=150 K and T₂=300 K respectively, through heating of the walls.

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a) How does the diameter d actuate the physical process by which the Gases come to steady state?

b) What is the ratio of the signify free paths λ₁/λ₂ between the two parts when d <<λ₁<<λ₂?

c) What is the ratio when d >>λ₁>>λ₂?

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