Chemical Potential of Idea gas?

Let's say we have a mixture of different ideal gases. I found that the chemical potential of a single component of the mixture is
$$\mu\_{i}=g\_{i}^{0}+Ln(\frac{f\_{i}}{P\_{ref}})$$


where $f\_{i}$ is the fugacity of the component. I also found somewhere else that the chemical potential of pure substances is the molar gibbs property. Would it be safe to then say..


$$\mu\_{i}(T,P)=g\_{i}(T,P)$$




Yes, by definition chemical potential is related to Gibbs potential in the following way:


$\mu\_i = \left(\frac{\partial G}{\partial n\_i}\right)\_{p,T,n\_{j\neq i}} = g\_i$


Those two notation are synonyms. You will find very detailed and precise explanation of this in: ***Atkins***, Physical Chemistry.


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