A vessel of volume V contains a gas that is kept at constant temperature. The gas slowly leaks out of a small hole of area A. The outside pressure is so low that no atoms leak back.
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(a) Prove that the pressure at any time t is given by
Where Po is the initial pressure.
(b) Calculate k’ in terms of V, A, and (w). (Note: Assume that all the atoms arriving at the hole pass through.)
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