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Moles of gas leaked from a vessel when its pressure falls at constant temperature

The same question, asked 2 times: 19 Apr 2025 S2, 19 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    19 Apr 2025 S2

    38
    An ideal gas at pressure ' P ' and temperature ' T ' is enclosed in a vessel of volume 'V'. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to ' P′P' '. Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

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  2. Question 2

    19 Apr 2026 S2

    115
    An ideal gas at pressure 'P' and temperature 'T' is enclosed in a vessel of volume 'V'. Some gas leaks through a hole from the vessel and the pressure of the enclosed gas falls to P1P^1. Assuming that the temperature of the gas remains constant during the leakage, the number of moles of the gas that have leaked is

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