A vessel of volume 10 l is evacuated by means of a piston air pump. One piston stroke captures the volume 1 l. The process is assumed to be isothermal and the gas ideal. The initial pressure of gas in

Question

A vessel of volume 10 l is evacuated by means of a piston air pump. One piston stroke captures the volume 1 l. The process is assumed to be isothermal and the gas ideal. The initial pressure of gas in the vessel was 24.2 atm. Select the correct statement(s):

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Each stroke expands the gas isothermally from 10 l to 11 l, so the pressure left in the vessel is multiplied by 10/11 per stroke. After the 1st stroke: 24.2 × 10/11 = 22 atm; after the 2nd: 22 × 10/11 = 20 atm. After n strokes: P n = 24.2 × (10/11) n . Setting P n = 24.2/η gives (10/11) n = 1/η, i.e. n = ln η / ln(11/10) = ln η / ln 1.1. All four statements are correct.

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