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Deriving Gibb's Free energy

  1. Nov 21, 2014 #1
    1. The problem statement, all variables and given/known data
    Derive an equation for the change in free energy, ΔGmixing, when ideal gases with the same temperature and pressure, are mixed.

    2. Relevant equations
    ΔGmixing = nRT∑(xi)ln(xi)
    (∂/∂T(G/T))p = -H/(TxT)

    3. The attempt at a solution
    Pi = xiPi*
    μi = Gi,m
    μ = (∂G/∂n) at constant T and P
    μ = (∂[nGm]/∂n) = Gm
     
  2. jcsd
  3. Nov 21, 2014 #2
    If ##\mu^0(T)## represents the molar free energy of an ideal gas at temperature T and 1 atm, what is the molar free energy of a pure (unmixed) ideal gas at temperature T and pressure P (P in atm)?

    Chet
     
    Last edited: Nov 21, 2014
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