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Discussion :: Chemical Engineering Thermodynamics

  1. Cv is given by

    2. A.

     (∂E/∂T)V
    B.

     (∂E/∂V)T
    C.

     (∂E/∂P)V
    D.

     (∂V/∂T)P

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    Answer : Option A

    Explanation :

    Definition of CV : when we add the heat to a system which is undergoing only expansion work or PdV work at constant volume than the amount of heat required to raise the temperature by an infinitesimal amount is called as CV.

    CV=limδT→0∂Q∂T

    By first law of thermodynamics: δQ=dU+δW(PdV)     Since here dV=0
    δQ=dU
    So, CV=(dUdT)V.   Where U=  internal energy.

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