Question w/ chemical potential, equivalence to Energy or Potential?

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SUMMARY

The chemical potential, defined as $$\mu=\partial F /\partial N$$ where F is the free energy, is fundamentally related to energy but is not directly equivalent to potential energy in electrostatics or gravity. In electrostatics, the relationship $$V=U/q$$ does not imply that $$\mu_{ext}$$ is equal to either U or V. Similarly, for gravitational systems, $$V_g=U_{g}/m$$ does not equate $$\mu_{ext}$$ with U_g or V_g. Chemical potential represents the energy required to add or remove particles from a system, reflecting the complexity of molecular interactions rather than a straightforward potential energy comparison.

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  • Familiarity with electrostatics and gravitational potential energy equations.
  • Basic knowledge of chemical potential and its implications in physical chemistry.
  • Concepts of molecular structure and interactions in chemical systems.
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klawlor419
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I have a quick question, is the chemical potential $$\mu=\partial F /\partial N$$ where F is the free energy physically equivalent to a potential or energy?

For example, in electrostatics, $$V=U/q$$

Does $$\mu_{ext}= U \text{ or } V$$

Also, same thing could be asked about gravity, $$V_g=U_{g}/m$$

Does $$\mu_{ext}= U_g \text{ or } V_g$$

Thanks ahead of time.
 
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klawlor419 said:
I have a quick question, is the chemical potential $$\mu=\partial F /\partial N$$ where F is the free energy physically equivalent to a potential or energy?

For example, in electrostatics, $$V=U/q$$

Does $$\mu_{ext}= U \text{ or } V$$

Also, same thing could be asked about gravity, $$V_g=U_{g}/m$$

Does $$\mu_{ext}= U_g \text{ or } V_g$$

Thanks ahead of time.
Chemical energy is the electrical potential energy of a particular molecular structure (of the reactants) relative to another molecular structure (of the products). It is just that it is too complicated to express in terms of Coulomb's law.

AM
 
Last edited:
I am talking about the amount of Free energy or just plain old energy required to add or remove particles from a system. That amount of energy per particle is defined as the chemical potential. I understand that there is to some degree a Coulomb attraction present in all matter.. and that for a fluid or gas of ~10^23 atoms it is impractical to write out the electric potential for the system.

Just worried about the basic definition of the chemical potential $$\mu$$
 

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