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Change in internal energy of a gas heated at constant volume

This type of question, asked 4 times: 2021 Paper 11, 27 Jan 2024, 21 Jan 2026 S1, 2 Apr 2026 S2. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 11

    17
    A chamber containing 4 moles of diatomic gas is heated such that the temperature of the gas increases from 0∘C0^{\circ}C to 50∘C50^{\circ}C. Find the change in internal energy of the gas. Assume that molecules are rigid.

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  2. Question 2

    27 Jan 2024

    10
    0.08 kg0.08\text{ }kg air is heated at constant volume through 5∘C5^{\circ}C. The specific heat of air at constant volume is 0.17kcal/kg∘C0.17kcal/kg^{\circ}C and J=4.18J = 4.18 joule /cal/cal. The change in its internal energy is approximately.

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  3. Question 3

    21 Jan 2026 S1

    24
    10 mole of oxygen is heated at constant volume from 30∘C30^{\circ}C to 40∘C40^{\circ}C. The change in the internal energy of the gas is ____\_\_\_\_ cal. (The molecular specific heat of oxygen at constant pressure, Cp=7cal./mol∘CC_{p} = 7cal./{mol}^{\circ}C and R=2cal./mol∘CR = 2cal./{mol}^{\circ}C.)

  4. Question 4

    2 Apr 2026 S2

    23
    5 moles of unknown gas is heated at constant volume from 10∘C10^{\circ}C to 20∘C20^{\circ}C. The molar specific heat of this gas at constant pressure cp=8cal/mol. ∘Cc_{p} = 8cal/mol.\ ^{\circ}C and R=8.36 J/mol. ∘CR = 8.36\text{ }J/mol.\ ^{\circ}C. The change in the internal energy of the gas is ____\_\_\_\_ calorie.