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Work in reversible isothermal expansion or compression of an ideal gas

This type of question, asked 13 times: 10 May 2023 S1, 11 May 2023 S2, 16 May 2023 S1, 20 Apr 2025 S2, 23 Apr 2025 S1, 26 Apr 2025 S2, 11 Apr 2026 S1, 18 Apr 2026 S2, 20 Apr 2026 S1, 13 May 2026 S1, 13 May 2026 S2, 15 May 2026 S2, 19 May 2026 S1. All 13 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    90
    2 moles of an ideal gas are expanded isothermally and reversibly from 20 L to 40 L at 300 K. Calculate work done. R=8.314 J K−1mol−1R=8.314\,\text{J K}^{-1}\text{mol}^{-1}

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  2. Question 2

    11 May 2023 S2

    80
    Two moles of an ideal gas are compressed isothermally and reversibly from 40 L to 20 L at 300 K. What is the work done? R=8.314 J K−1 mol−1R = 8.314\ \text{J K}^{-1}\ \text{mol}^{-1}

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  3. Question 3

    16 May 2023 S1

    74
    Find work done on 2 mole of an ideal gas at 27°C27°C if it is compressed reversibly and isothermally from 5.05×106 Nm−25.05 \times 10^6\,\text{Nm}^{-2} to 1.01×105 Nm−21.01 \times 10^5\,\text{Nm}^{-2} pressure.

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  4. Question 4

    20 Apr 2025 S2

    55
    Calculate work done if 1 mole of an ideal gas compressed isothermally and reversibly from 12 dm3dm^{3} to 6dm36dm^{3} at 300 K . [ R=8.314JK−1 mol−1R = 8.314JK^{- 1}{\text{ }mol}^{- 1} ]

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  5. Question 5

    23 Apr 2025 S1

    64
    Calculate work done in isothermal reversible expansion of 1 mole ideal gas from initial pressure 10 bar to final pressure 1 bar at 300 K. ( R=8.314 J K−1 mol−1R = 8.314\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1} ).

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  6. Question 6

    26 Apr 2025 S2

    65
    Calculate the work done if 1 mole of certain gas compressed isothermally and reversibly at 300 K from initial pressure xx bar to final pressure 2x2x bar [R=8.314 J K−1 mol−1]\left\lbrack R = 8.314\text{ }J{\text{ }K}^{- 1}{\text{ }mol}^{- 1} \right\rbrack

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  7. Question 7

    11 Apr 2026 S1

    7
    Calculate the work done when 11 mole of an ideal gas is expanded reversibly and isothermally from initial pressure 1010 bar to final pressure 11 bar at constant temperature 300300 K. [R=8.314 J K−1 mol−1][R = 8.314\ \mathrm{J\,K^{-1}\,mol^{-1}}]

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  8. Question 8

    18 Apr 2026 S2

    7
    1 mole of an ideal gas is compressed isothermally and reversibly from initial pressure xx kPa to final pressure 2x2x kPa at 300 K. Find the work done (R=8.314 J K−1mol−1)(R = 8.314\ \mathrm{J\,K^{-1}mol^{-1}})

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  9. Question 9

    20 Apr 2026 S1

    6
    If 22 mole of an ideal gas expand isothermally and reversibly at 27 ∘C27\ ^\circ\mathrm{C} from 1 dm31\ \mathrm{dm^3} to 1 m31\ \mathrm{m^3} calculate work done? [R=8.314 J K−1mol−1][R = 8.314\ \mathrm{J\,K^{-1}mol^{-1}}]

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  10. Question 10

    13 May 2026 S1

    5
    11 mole of an ideal gas expands isothermally and reversibly from an initial volume of 1010 L to a final volume of 2020 L at 300300K. Calculate the work done in expanding the gas. ( R = 8.314 J K−1 mol−18.314\ \mathrm{J\,K^{-1}\,mol^{-1}} )

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  11. Question 11

    13 May 2026 S2

    7
    If XX moles of O2\mathrm{O_2} gas expand isothermally and reversibly from volume 2 dm32\ \mathrm{dm^3} to volume 20 dm320\ \mathrm{dm^3} at 300300 K, the work obtained is −17.232-17.232 kJ. Calculate the value of XX. [R=8.314 J K−1mol−1][R = 8.314\ \mathrm{J\,K^{-1}mol^{-1}}]

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  12. Question 12

    15 May 2026 S2

    7
    Calculate the work done when 22 moles of an ideal gas expand isothermaly and reversibly from 10 dm310\ \mathrm{dm^3} to 20 dm320\ \mathrm{dm^3} at 300300 K (R=8.314 JK−1mol−1)(R = 8.314\ \mathrm{JK^{-1}mol^{-1}})

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  13. Question 13

    19 May 2026 S1

    6
    2 moles of an ideal gas expand isothermally and reversibly from 1010 L to 5050 L at 298298 K. Calculate the work done during this expansion. (R=8.314 JK−1 mol−1)(R = 8.314\ \mathrm{JK^{-1}\ mol^{-1}})

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