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Final pressure after a sudden (adiabatic) compression or expansion

This type of question, asked 4 times: 26 Jul 2022, 10 Apr 2023, 13 Apr 2023, 9 Apr 2024. All 4 questions below, oldest first.

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  1. Question 1

    26 Jul 2022

    14
    A monoatomic gas at pressure PP and volume VV is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be:

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  2. Question 2

    10 Apr 2023

    11
    Consider two containers AA and BB containing monoatomic gases at the same Pressure (P), Volume (V) and Temperature (T). The gas in A is compressed isothermally to 18\frac{1}{8} of its original volume while the gas BB is compressed adiabatically to 18\frac{1}{8} of its original volume. The ratio of final pressure of gas in BB to that of gas in AA is:

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  3. Question 3

    13 Apr 2023

    97
    The initial pressure and volume of an ideal gas are P0P_{0} and V0V_{0}. The final pressure of the gas when the gas is suddenly compressed to volume V04\frac{V_{0}}{4} will be: (Given γ=\gamma = ratio of specific heats at constant pressure and at constant volume)

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  4. Question 4

    9 Apr 2024

    10
    The volume of an ideal gas (γ=1.5)(\gamma= 1.5) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:

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