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Work done or change in internal energy in an adiabatic process

This type of question, asked 7 times: 2021 Paper 17, 2021 Paper 23, 1 Feb 2023, 4 Apr 2024, 9 Apr 2024, 2 Apr 2026 S1, 8 Apr 2026 S2. All 7 questions below, oldest first.

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  1. Question 1

    2021 Paper 17

    4
    One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27∘C27^{\circ}C to 37∘C37^{\circ}C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true? [R=8.314 J mol−1k−1]\left\lbrack R = 8.314\text{ }J{\text{ }mol}^{- 1}k^{- 1} \right\rbrack

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  2. Question 2

    2021 Paper 23

    27
    A sample of gas with γ=1.5\gamma= 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 cm31200{\text{ }cm}^{3} to 300 cm3300{\text{ }cm}^{3}. If the initial pressure is 200kPa200kPa. The absolute value of the workdone by the gas in the process is ____\_\_\_\_ J.

  3. Question 3

    1 Feb 2023

    5
    A sample of gas at temperature TT is adiabatically expanded to double its volume. The work done by the gas in the process is ( given,  γ=32)\left. \ \gamma =\frac{3}{2} \right) :

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  4. Question 4

    4 Apr 2024

    107
    A sample of gas at temperature TT is adiabatically expanded to double its volume. Adiabatic constant for the gas is γ=3/2\gamma = 3/2. The work done by the gas in the process is : (μ=1(\mu = 1 mole ))

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  5. Question 5

    9 Apr 2024

    20
    A sample of 1 mole gas at temperature TT is adiabatically expanded to double its volume. If adiabatic constant for the gas is γ=32\gamma=\frac{3}{2}, then the work done by the gas in the process is:

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  6. Question 6

    2 Apr 2026 S1

    22
    A vessel contains 0.15 m30.15{\text{ }m}^{3} of a gas at pressure 8 bar and temperature 140∘C140^{\circ}C with cp=3Rc_{p} = 3R and cv=2Rc_{v} = 2R. It is expanded adiabatically till pressure falls to 1 bar. The work done during this process is ____\_\_\_\_ k J . (R is gas constant)

  7. Question 7

    8 Apr 2026 S2

    11
    Initial pressure and volume of a monoatomic ideal gas are P and V. The change in internal energy of this gas in adiabatic expansion to volume Vfinal =27 VV_{\text{final~}}= 27\text{ }V is ____\_\_\_\_ J.

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