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Gas leaking from a vessel: moles or mass that escape

This type of question, asked 4 times: 19 Apr 2025 S2, 11 Apr 2026 S1, 19 Apr 2026 S2, 15 May 2026 S1. All 4 questions 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

    11 Apr 2026 S1

    117
    A vessel has 66 gram of hydrogen at pressure PP and temperature 500500 K. A small hole is made in it so that hydrogen leaks out. How much hydrogen leaks out if the final pressure is P2\dfrac{P}{2} and the temperature falls to 300300 K?

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  3. Question 3

    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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  4. Question 4

    15 May 2026 S1

    116
    The gas in a vessel is subjected to a pressure of 2020 atm. at 27∘C27^\circ\mathrm{C}. Now half of the gas is released from the vessel and the temperature is raised by 50∘C50^\circ\mathrm{C}. The pressure of a gas in a vessel is nearly

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