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Adiabatic change: pressure proportional to T^x, find x

The same question, asked 5 times: 3 May 2023 S2*, 11 May 2023 S1*, 21 Apr 2025 S1*, 11 Apr 2026 S2*, 12 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    3 May 2023 S2

    14
    A diatomic gas undergoes adiabatic change. Its pressure PP and temperature TT are related as P∝TxP\propto T^{x} where the value of xx is

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  2. Question 2

    11 May 2023 S1

    44
    In an adiabatic process for an ideal gas, the relation between the universal gas constant 'R' and specific heat at constant volume 'CvC_v' is R=0.4CvR = 0.4C_v. The pressure 'P' of the gas is proportional to the temperature 'T', of the gas as TKT^K. The value of constant 'K' is

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  3. Question 3

    21 Apr 2025 S1

    7
    When a diatomic gas (rigid) undergoes adiabatic change, its pressure PP and temperature TT are related as P∝TcP \propto T^{c}. The value of c is

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  4. Question 4

    11 Apr 2026 S2

    113
    A rigid diatomic gas undergoes adiabatic change. Its pressure P and temperature T are related as P∝TxP \propto T^x where x is

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  5. Question 5

    12 May 2026 S2

    114
    A monoatomic gas undergoes adiabatic change. Its pressure PP and temperature TT are related as P∝TxP \propto T^x where xx is

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