Temperature analog of free energy

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Discussion Overview

The discussion revolves around the concept of energy measures used to determine the spontaneity of thermodynamic processes, specifically under isothermal conditions. Participants explore the relationship between Gibbs energy, Helmholtz energy, and the potential relevance of chemical potential in this context.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes that Gibbs energy is applicable for spontaneity under isobaric conditions, while Helmholtz energy applies under isovolumetric conditions.
  • The original poster questions whether there is a corresponding energy measure for isothermal conditions.
  • Another participant suggests looking up 'The Chemical Potential' as a potential answer to the original question.
  • The original poster later questions the relationship between chemical potential and their inquiry, noting that chemical potential is equal to the partial molar Gibbs energy in multi-component systems.
  • Another participant states that Gibbs energy is minimized under constant pressure and temperature, while Helmholtz energy is minimized under constant volume and temperature, implying a connection to the isothermal condition.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the applicability of chemical potential to the original question, and multiple viewpoints regarding the relationship between Gibbs energy, Helmholtz energy, and chemical potential remain present.

Contextual Notes

The discussion does not clarify the specific conditions under which the chemical potential is considered, nor does it resolve the implications of the relationships between the different energy measures.

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The Gibbs energy is used to determine the spontaneity of a thermodynamic process under isobaric conditions.

The Helmholtz energy is used to determine the spontaneity of a thermodynamic process under isovolumetric conditions.

I was curious: is there an energy used to determine the spontaneity of a thermodynamic process under isothermal conditions?

Thanks.

BiP
 
Science news on Phys.org
I suggest you look up

'The Chemical Potential'

Google has lots of references.
 
Studiot said:
I suggest you look up

'The Chemical Potential'

Google has lots of references.

Isn't the chemical potential just equal to the partial molar Gibbs energy of a multi-component system? How is that related to my question?

BiP
 
Well, Gibbs energy is minimal under constant pressure AND temperature, and Helmholtz under constant volume and temperature. So, there...
 

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