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What is the total differential of the Gibbs Free Energy as a function of its natural variables including the molar mass of a particular substance for a system consisting of a mixture of compounds?

I know the differential of the Gibbs Free Energy is $$dG=Vdp-SdT$$ Would the function including the molar mass of a mixture of compounds be. $$dG=\sum_{i}\frac{n_idm_i}{p_i}-SdT $$ where i is the different components of the mixed compound.

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  • $\begingroup$ Are you familiar with the term chemical potential? $\endgroup$ – Chet Miller Apr 17 '17 at 20:18
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    $\begingroup$ Thanks I wasn't but gave it a google and I can answer the question now. $\endgroup$ – Rick Saget Apr 19 '17 at 14:40
  • $\begingroup$ Then please do... $\endgroup$ – Bzazz Apr 19 '17 at 16:21

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