Chemical potential at equlibrium

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At equilibrium, the value of the chemical potential of a substance is often considered to be zero, but some discussions emphasize that it is the change in chemical potential that is zero, not the individual potentials. The chemical potential is mathematically defined as the derivative of internal energy at constant entropy and volume, or as the partial derivative of Gibbs free energy with respect to the number of moles at constant temperature and pressure. The criterion for equilibrium in a chemical reaction is the minimization of Gibbs free energy. This distinction is crucial for understanding chemical thermodynamics and the behavior of reacting mixtures. Clarifying these definitions enhances comprehension of equilibrium conditions in chemical systems.
LalithP
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What is the value of chemical potential of a substance at equilibrium?
According to following article it is zero:

https://www.uni-muenster.de/Physik....hen/Forschungsschwerpunkte/mBECwatfratcp.html

But I have seen in many articles that it is the change in chemical potential (ie. stoichimetric sum of chemical potentials) is zero, not individual chemical potentials. Could somebody clarify this?
 
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What is your understanding of the mathematical definition of "chemical potential?"
 
I think I know the basics like, it is the derivative of internal energy at constant entropy and volume or the partial derivative Helmholtz free energy at constant temperature and volume...
 
The most useful version is the partial derivative of the gibbs free energy G with respect to the number of moles of a given species at constant temperature and pressure. This is the form most extensively used in chemical thermodynamics. The equilibrium criterion for a chemical reacting mixture is that the gibbs free energy is minimized.
 

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