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Temperature after an adiabatic change of volume or density (T V^(gamma-1) constant)

This type of question, asked 4 times: 29 Jul 2022, 23 Jan 2025, 3 Apr 2025, 22 Jan 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    29 Jul 2022

    23
    The pressure P1P_{1} and density d1d_{1} of diatomic gas (γ=75)\left( \gamma =\frac{7}{5} \right) changes suddenly to P2(>P1)P_{2}\left( >P_{1} \right) and d2d_{2} respectively during an adiabatic process. The temperature of the gas increases and becomes ____\_\_\_\_ times of its initial temperature. (given d2 d1=32\frac{d_{2}}{{\text{ }d}_{1}}= 32 )

  2. Question 2

    23 Jan 2025

    23
    An ideal gas initially at 0∘C0^{\circ}C temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/23/2, the change in temperature due to the thermodynamics process is ______\_\_\_\_\_\_ K.

  3. Question 3

    3 Apr 2025

    12
    A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm3800{\text{ }cm}^{3} and temperature 27∘C27^{\circ}C. The change in temperature when the gas is adiabatically compressed to 200 cm3200{\text{ }cm}^{3} is : (Take γ=1.5:γ\gamma= 1.5:\gamma is the ratio of specific heats at constant pressure and at constant volume)

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  4. Question 4

    22 Jan 2026 S1

    16
    The volume of an ideal gas increases 8 times and temperature becomes (1/4)th (1/4)^{\text{th~}} of initial temperature during a reversible change. If there is no exchange of heat in this process ( ΔQ=0\Delta Q = 0 ) then identify the gas from the following options (Assuming the gases given in the options are ideal gases) :

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