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  1. For an isothermal reversible compression of an ideal gas

    2. A.

     Only ΔE = 0
    B.

     Only ΔH =0
    C.

     ΔE = ΔH = 0
    D.

     DQ = dE

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    Answer : Option C

    Explanation :

    Actually the internal energy (U) of a substance is a function of
    dU=CvdT−[P+T((∂V∂T)p(∂V∂P)T)dV]For an ideal gas, PV=RTSo, (∂V∂T)p=RPand (∂V∂P)T=−RTP2Hence, dU=CvdT
    Similarly we can prove dH=CpdT
    So, enthalpy and internal energy are solely functions of temperature in case of ideal gas hence ΔE=ΔH=0

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