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Gas (gamma = 1.5) compressed adiabatically to one fourth of its volume: change in temperature

The same question, asked 2 times: 23 Jan 2025*, 3 Apr 2025. Every wording below, oldest first.

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  1. Question 1

    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.

  2. Question 2

    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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