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Match isothermal processes of an ideal gas with their work or heat expressions

This type of question, asked 2 times: 24 Jan 2026 S1, 6 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    24 Jan 2026 S1

    38
    Match the List-I with List-II
    List-I (Isothermal process for ideal gas system)List-II Work done (Vf>Vi)\left( V_{f}>V_{i} \right)
    (A)Reversible expansion(I)
    w=0w = 0
    (B)Free expansion(II)
    w=−nRTlnVfViw = - nRTln\frac{V_{f}}{V_{i}}
    (C)Irreversible expansion(III)
    w=−pex(Vf−Vi)w = - p_{ex}\left( V_{f} - V_{i} \right)
    (D)Irreversible compression(IV)
    w=−pex(Vi−Vf)w = - p_{ex}\left( V_{i} - V_{f} \right)
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  2. Question 2

    6 Apr 2026 S2

    29
    Match List-I with List-II. Given V1V_{1} and V2V_{2} are initial and final volumes respectively:
    List-I (Isothermal process)List-II (Expression)
    (A)Reversible expansion(I)
    q=0q = 0
    (B)Free expansion(II)
    q=nRTlnV2 V1q = nRTln\frac{V_{2}}{{\text{ }V}_{1}}
    (C)Irreversible Compression(III)
    w=−pext (V2−V1)w = - p_{\text{ext~}}\left( V_{2} - V_{1} \right)
    (D)Cyclic reversible(IV)
    qrev T=0\frac{q_{\text{rev~}}}{T} = 0
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