Partial molar volume of ideal gas and Gibb's theorem

  1. Maylis

    Maylis 866
    Gold Member


    I am working on the derivation that proves that the partial molar volume of an ideal gas is equal to the molar volume of an ideal gas.

    I am following up to the point in the textbook where they set

    (∂n/∂ni)nj = 1

    where ni is the number of of moles of species i, and nj is the number of moles of species j ≠ i.

    Attached is a photo of the derivation in the textbook
  2. jcsd
  3. Maylis

    Maylis 866
    Gold Member

    ImageUploadedByPhysics Forums1397341541.099591.jpg
  4. If n = n1+n2+n3+n4+n5
    and you take the partial derivative of n with respect to, say n3 holding all the other subscripted n's constant, what do you get?

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