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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