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Adiabatic relation in P-T or T-V form: find the exponent or gamma

This type of question, asked 9 times: 3 May 2023 S2, 11 May 2023 S1, 21 Apr 2025 S1, 11 Apr 2026 S2, 20 Apr 2026 S1, 12 May 2026 S2, 13 May 2026 S1, 13 May 2026 S2, 14 May 2026 S1. All 9 questions below, oldest first.

Try each one first, then open its answer.

  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

    20 Apr 2026 S1

    115
    An ideal rigid diatomic gas (γ=75)\left(\gamma = \dfrac{7}{5}\right) undergoes an adiabatic change . If the relation between temperature and volume is TVx=TV^x = constant then the value of x is

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  6. Question 6

    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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  7. Question 7

    13 May 2026 S1

    116
    Out of the following relations which one is true in the case of an adiabatic process, where γ=Cp/Cv\gamma = C_p/C_v ?

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  8. Question 8

    13 May 2026 S2

    118
    During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio Cp/CvC_p/C_v for the gas is

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  9. Question 9

    14 May 2026 S1

    115
    The temperature of an ideal gas increases 22 times when compressed adiabatically to half the volume. Its equation of state is

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