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A vessel of volume V is evacuated by means of a piston air pump.

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A vessel of volume V is evacuated by means of a piston air pump. One piston stroke captures the volume ΔV. How many strokes are needed to reduce the pressure in the vessel η times? The process is assumed to be isothermal, and the gas ideal.

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Let P be the density after the first stroke. The remains constant

Since pressure α density,

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