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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.

(a) Prove that the pressure at any time t is given by

P = P₀e^-k't,

Where P_o 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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Category:- Physics
Reference No.:- M92166208

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