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Whenever I am to prove the fact that the $y$ intercept to the $G$ vs $X$ curve is basically my chemical potential, there are two equations that need to be assumed. One is $$G=\mu _{A}X_{A}+\mu _{B}X_{B},$$ and the other is the total differential expression of $\mathrm{d}G'$. However they are treated as two independent equations. However, are they not related? What is the intuition to the geometrical interpretation of the chemical potential?

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  • $\begingroup$ What have you done so far? Are you familiar with the Gibbs Duhem equation? $\endgroup$ Jul 13, 2019 at 12:35
  • $\begingroup$ I have done that but I really do not know the intuition behind the equation. $\endgroup$
    – gateprep
    Jul 13, 2019 at 13:03
  • $\begingroup$ See Smith and van Ness, Introduction to Chemical Engineering Thermodynamics, Chapter 11 $\endgroup$ Jul 13, 2019 at 14:11
  • $\begingroup$ Thanks @ChetMiller it was just what I was looking for. $\endgroup$
    – gateprep
    Jul 13, 2019 at 15:11

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