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Coffee_
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The chemical potential is defined as ##µ=\frac{\partial E}{\partial N}## while keeping entropy and volume constant. Well how to keep the volume constant while adding particles is obvious but what about the entropy? Obviously adding a particle at a certain energy ##E_{p}## changes the total energy of the system and ##N+1## changes the combinatorics to calculate the entropy.
How does one keep entropy constant while adding particles?
How does one keep entropy constant while adding particles?