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Gas heated in a cylinder with a piston: heat supplied, work and piston displacement

This type of question, asked 3 times: 6 Apr 2024, 23 Jan 2026 S2, 8 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    6 Apr 2024

    92
    A total of 48 J48\text{ }J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by 2∘C2^{\circ}C. The work done by the gas is: (Given, R=8.3 J K−1 mol−1R = 8.3\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1}.)

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  2. Question 2

    23 Jan 2026 S2

    1
    The internal energy of a monoatomic gas is 3 nRT . One mole of helium is kept in a cylinder having internal cross section area of 17 cm217{\text{ }cm}^{2} and fitted with a light movable frictionless piston. The gas is heated slowly by suppling 126 J heat. If the temperature rises by 4 ∘C4\ ^{\circ}C, then the piston will move ____\_\_\_\_ cm. (atmospheric pressure =105 Pa=10^{5}\text{ }Pa )

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  3. Question 3

    8 Apr 2026 S2

    10
    One mole of diatomic gas having rotational modes only is kept in a cylinder with a piston system. The cross-section area of the cylinder is 0.4 cm20.4{\text{ }cm}^{2}. The gas is heated slowly to raise the temperature by 1.2 ∘C1.2\ ^{\circ}C during which the piston moves by 25 mm . The amount of heat supplied to the gas is ____\_\_\_\_ J. (Atmospheric pressure =100kPa= 100kPa, R=8.3 J/mol.KR = 8.3\text{ }J/mol.K ) (Neglect mass of the piston)

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