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Two connected vessels of gas: common pressure after connecting or heating one

This type of question, asked 3 times: 2021 Paper 25, 4 Apr 2025, 6 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    2021 Paper 25

    27
    A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber contain 3.0 moles of gas at pressure 2.0 atm2.0\text{ }atm and second chamber contain 4.0 moles of gas at pressure 3.0 atm3.0\text{ }atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is x×10−1 atmx\times10^{- 1}\text{ }atm. Value of xx is

  2. Question 2

    4 Apr 2025

    83
    There are two vessels filled with an ideal gas where volume of one is double the volume of other. The large vessel contains the gas at 8 kPa at 1000 K while the smaller vessel contains the gas at 7 kPa at 500 K . If the vessels are connected to each other by a thin tube allowing the gas to flow and the temperature of both vessels is maintained at 600 K , at steady state the pressure in the vessels will be (in kPa ).

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  3. Question 3

    6 Apr 2026 S1

    10
    Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K . Keeping the temperature of one vessel constant at 400 K the second vessel temperature is raised to 500 K . The final pressure in the vessels is ____\_\_\_\_ kPa .

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