Deriving Gibb's Free energy

  • #1

Homework Statement


Derive an equation for the change in free energy, ΔGmixing, when ideal gases with the same temperature and pressure, are mixed.

Homework Equations


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

The Attempt at a Solution


Pi = xiPi*
μi = Gi,m
μ = (∂G/∂n) at constant T and P
μ = (∂[nGm]/∂n) = Gm
 

Answers and Replies

  • #2
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Homework Statement


Derive an equation for the change in free energy, ΔGmixing, when ideal gases with the same temperature and pressure, are mixed.

Homework Equations


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

The Attempt at a Solution


Pi = xiPi*
μi = Gi,m
μ = (∂G/∂n) at constant T and P
μ = (∂[nGm]/∂n) = Gm
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:

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