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Gas expanded isothermally and then adiabatically (or compressed back): final pressure

The same question, asked 3 times: 10 May 2023 S1*, 11 May 2024 S1*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S1

    37
    Initial pressure and volume of a gas are 'P' and 'V' respectively. First its volume is expanded to '4V' by isothermal process and then again its volume is reduced to 'V' by adiabatic process; then its final pressure if γ=32\gamma=\frac{3}{2}

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  2. Question 2

    11 May 2024 S1

    37
    A monoatomic gas at pressure P, having volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is (Take γ=5/3\gamma = 5/3)

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  3. Question 3

    16 Apr 2026 S1

    117
    A monoatomic gas at pressure P having volume V expands isothermally to a volume 3V and then adiabatically to a volume 81 V. The final pressure of the gas is (γ=5/3)(\gamma = 5/3).

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