Temperature analog of free energy

[Bipolarity]

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

 

[Studiot]

I suggest you look up

'The Chemical Potential'

Google has lots of references.

 

[Bipolarity]

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

 

[Dickfore]

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

 

[sardar]

Yes, there is an energy used to determine the spontaneity of a thermodynamic process under isothermal conditions, and it is called the Helmholtz free energy. Just like the Gibbs energy, the Helmholtz free energy takes into account the temperature of the system and the amount of work it can do, but it is specifically designed for isothermal processes. This means that the system is kept at a constant temperature throughout the process, while the volume may change. In contrast, the Gibbs energy is used for processes where the pressure is kept constant. Both energies are important in understanding the spontaneity of thermodynamic processes and can be used to predict whether a process will occur spontaneously or not.