A vessel of volume 20 l is evacuated by a piston air pump, each stroke of which captures 2 l. The process is isothermal and the gas ideal; the initial pressure in the vessel is 48.4 atm. Select the co

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A vessel of volume 20 l is evacuated by a piston air pump, each stroke of which captures 2 l. The process is isothermal and the gas ideal; the initial pressure in the vessel is 48.4 atm. Select the correct statement(s):

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Each stroke expands the gas from 20 l to 22 l, multiplying the pressure left in the vessel by 20/22 = 10/11. After the 1st stroke: 48.4 × 10/11 = 44 atm; after the 2nd: 44 × 10/11 = 40 atm (not 39.6 atm, so (b) is false). After n strokes: Pₙ = 48.4 × (10/11)ⁿ, and Pₙ = 48.4/η gives n = ln η / ln(11/10) = ln η / ln 1.1. Hence (a), (c), (d).

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