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Change in internal energy from the first law (delta U = q + W)

This type of question, asked 24 times: May 2022 S1, 2 May 2023 S1, 2 May 2023 S2, 9 May 2023 S1, 10 May 2023 S2, 11 May 2023 S1, 15 May 2023 S2, 16 May 2023 S2, 10 May 2024 S1, 10 May 2024 S2, 11 May 2024 S1, 12 May 2024 S2, 13 May 2024 S2, 19 Apr 2025 S1, 21 Apr 2025 S2, 22 Apr 2025 S2, 26 Apr 2025 S1, 13 Apr 2026 S2, 16 Apr 2026 S1, 17 Apr 2026 S1, 19 Apr 2026 S1, 20 Apr 2026 S2, 13 May 2026 S1, 14 May 2026 S1. All 25 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    May 2022 S1

    91
    If Q is the heat liberated from the system and W is the work done on the system then first law of thermodynamics can be written as,

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  2. Question 2

    2 May 2023 S1

    76
    In a process 605 J heat is absorbed by the system and 380 J work is done by the system on surrounding. What is the value of ΔU\Delta U?

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  3. Question 3

    2 May 2023 S2

    70
    If 100 L gas is enclosed in a cylinder, absorbs 302.6 J of heat and expands to 200 L against constant external pressure of 2 atm. Calculate internal energy change of the gas.

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  4. Question 4

    9 May 2023 S1

    66
    What is change in internal energy of the system when work done by the system is 150 J and system releases 300 J of heat?

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  5. Question 5

    10 May 2023 S2

    88
    A gas expands isothermally against a constant external pressure of 1 bar from 10 dm310\,\text{dm}^3 to 20 dm320\,\text{dm}^3 by absorbing 800 J of heat from surrounding. Calculate value of ΔU\Delta U.

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  6. Question 6

    11 May 2023 S1

    67
    An ideal gas expands against constant external pressure of 2 bar from 5 lit to 8 lit and absorbs 10 kJ of heat. What is ΔU\Delta U of the system?

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  7. Question 7

    15 May 2023 S2

    97
    In a particular reaction 'x' kJ of heat is released by the system and 'y' kJ of work done is done on the system. What is internal energy change?

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  8. Question 8

    15 May 2023 S2

    72
    A system performs mechanical work equal to 15 kJ and looses 2 kJ of heat to surrounding. What is the change in internal energy of a system?

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  9. Question 9

    16 May 2023 S2

    80
    Calculate internal energy change of a system if work done by the system is 8 J and heat supplied to it is 40 J.

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  10. Question 10

    10 May 2024 S1

    62
    What is change in internal energy when system releases 8 kJ of heat and performs 660 J of work on the surroundings?

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  11. Question 11

    10 May 2024 S2

    85
    A gas absorbs 200 J heat and expands by 500 cm3^3 against a constant external pressure 2×105 N m−22\times10^5\,\text{N m}^{-2}. What is the change in internal energy?

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  12. Question 12

    11 May 2024 S1

    64
    What is the value of increase in internal energy when work done by a system is 8 J when 40 J Heat is supplied to it?

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  13. Question 13

    12 May 2024 S2

    91
    A gas absorbs 150 J heat and expands by 300300 cm³ against a constant external pressure 2×1052 \times 10^5 N m⁻². What is ΔU\Delta U of the system?

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  14. Question 14

    13 May 2024 S2

    85
    An ideal gas absorbs 210 J of heat and undergoes expansion from 3 L to 6 L against a constant external pressure of 105 Pa10^5\ \text{Pa}. What is the value of ΔU\Delta U?

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  15. Question 15

    19 Apr 2025 S1

    75
    Calculate the change in internal energy of the system if 20 kJ of work is done on the system and it releases 10 kJ of heat in a particular reaction.

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  16. Question 16

    21 Apr 2025 S2

    81
    Calculate the change in internal energy of the system if 25 kJ of work done by the system and it absorbs 10 kJ of heat.

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  17. Question 17

    22 Apr 2025 S2

    85
    Calculate the change in internal energy of the system if 20 kJ work is done on the system and it releases 10 kJ heat in a particular reaction.

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  18. Question 18

    26 Apr 2025 S1

    62
    Calculate the change in internal energy of the system if work done by the system is 18 joule and absorbs heat 50 joule in a particular reaction.

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  19. Question 19

    13 Apr 2026 S2

    6
    A gas expands from a volume of 1 dm31\ \mathrm{dm^3} to 1.25 dm31.25\ \mathrm{dm^3} under a pressure of 11 bar. Find the change in internal energy if 150150 J of heat is supplied to the system.

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  20. Question 20

    16 Apr 2026 S1

    8
    In a particular reaction, 4 kJ heat is released by the system and 12 kJ work done on the system. Calculate the ΔH\Delta H and ΔU\Delta U.

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  21. Question 21

    17 Apr 2026 S1

    7
    A system is provided 50 J of heat and work done on the system is 10 J. What is change in internal energy ?

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  22. Question 22

    19 Apr 2026 S1

    9
    A gas absorbs 120120 J of heat and expands by 300×10−6 m3300 \times 10^{-6}\ \mathrm{m^3} against a constant external pressure of 2×105 Nm−22 \times 10^5\ \mathrm{Nm^{-2}}. What will be the change in internal energy of the system ?

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  23. Question 23

    20 Apr 2026 S2

    6
    Calculate the change in internal energy if an ideal gas expands from 0.5 dm30.5\ \mathrm{dm^3} to 3.5 dm33.5\ \mathrm{dm^3} at constant pressure 2 bar by absorbing 1800 J heat energy.

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  24. Question 24

    13 May 2026 S1

    6
    Calculate the change in internal energy of the system if 4040 kJ of work is done by the system, and it absorbs 2020 kJ of heat

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  25. Question 25

    14 May 2026 S1

    5
    In a particular reaction, 44 kJ of heat is released by the system and 88 kJ of work is done on the system. Determine the value of ΔU\Delta U.

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