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Isothermal expansion, then isobaric compression, then isochoric return to the start: net work or heat in the cycle

The same question, asked 2 times: 2021 Paper 1*, 3 Apr 2025. Every wording below, oldest first.

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  1. Question 1

    2021 Paper 1

    3
    nn mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes - A→BA \rightarrow B : Isothermal expansion at temperature TT so that the volume is doubled from V1V_{1} to V2=2V1V_{2}= 2V_{1} and pressure changes from P1P_{1} to P2P_{2}. B→B \rightarrow C : Isobaric compression at pressure P2P_{2} to initial volume V1V_{1}. C→AC \rightarrow A : Isochoric change leading to change of pressure from P2P_{2} to P1P_{1}. Total workdone in the complete cycle ABCA is -

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  2. Question 2

    3 Apr 2025

    80
    An ideal gas exists in a state with pressure P0P_{0}, volume V0V_{0}. It is isothermally expanded to 4 times of its initial volume (V0)\left( V_{0} \right), then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is

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