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Same heat given to a gas in a free-piston and a fixed-piston cylinder: rise in temperature in the other cylinder

The same question, asked 4 times: 11 May 2023 S2*, 21 Apr 2025 S1*, 26 Apr 2025 S2*, 17 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    11 May 2023 S2

    36
    Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic gas at temperature 'T' K. The piston of cylinder A is free to move while that of B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise temperature of the gas in A is 'dTAdT_A', then the rise in temperature of the gas in cylinder B is (γ=CPCV)\left(\gamma=\frac{C_P}{C_V}\right)

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  2. Question 2

    21 Apr 2025 S1

    47
    Two cylinders A and B fitted with pistons contain equal amount of an ideal rigid diatomic gas at 303 K . The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 49 K , then the rise in temperature of the gas in AA is

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  3. Question 3

    26 Apr 2025 S2

    25
    Two cylinders A and B fitted with piston contain equal amount of an ideal diatomic gas at temperature T K. The piston of cylinder A is free to move while that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise of temperature of the gas in A is dTAdT_{A}, then the rise in temperature of the gas in B is (γ=CpCv)\left( \gamma=\frac{C_{p}}{C_{v}} \right)

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  4. Question 4

    17 Apr 2026 S2

    116
    Two cylinders A and B fitted with pistons contain equal amount of an ideal diatomic gas at 303 K. The piston of cylinder A is free to move and that of cylinder B is held fixed. The same amount of heat is given to the gas in each cylinder. If the rise in temperature of the gas in cylinder B is 63 K then the rise in temperature of the gas in A is

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