Derive an expression that shows how the pressure of a gas inside an effusion oven (a

Chapter 21, Problem 21.28

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Derive an expression that shows how the pressure of a gas inside an effusion oven (a heated chamber with a small hole in one wall) varies with time if the oven is not replenished as the gas escapes. Then show that t1/2, the time required for the pressure to decrease to half its initial value, is independent of the initial pressure. Hint. Begin by setting up a differential equation relating dp/dt to p = NkT/V, and then integrating it.

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