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Discussion :: Chemical Engineering Thermodynamics

  1. Internal energy of an ideal gas

    2. A.

     Increases with increase in pressure
    B.

     Decreases with increase in temperature
    C.

     Is independent of temperature
    D.

     None of these

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    Answer : Option D

    Explanation :

    Internal energy of an ideal gas is solely dependent on temperature and given by the relation: The internal energy of an substance is given by
    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
    So internal energy is only a function of temperature and increases with increase in temperature.

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