Specific Heat and Helmholtz Free Energy?

Click For Summary
SUMMARY

The discussion centers on the relationship between specific heat capacity at constant chemical potential and Helmholtz Free Energy (F). It concludes that there is no established relation between these quantities, as indicated by the differential form of Helmholtz Free Energy, dF = -S dT - p dV + μ dN. The participants emphasize that F is associated with work in isothermal processes rather than heat transfer, reinforcing the lack of a direct connection between specific heat and Helmholtz Free Energy.

PREREQUISITES
  • Understanding of thermodynamic concepts, specifically Helmholtz Free Energy
  • Familiarity with differential forms in thermodynamics
  • Knowledge of specific heat capacity and its implications
  • Basic principles of isothermal processes in thermodynamics
NEXT STEPS
  • Research the implications of Helmholtz Free Energy in thermodynamic systems
  • Study the relationship between work and heat in isothermal processes
  • Explore the role of chemical potential in thermodynamic equations
  • Investigate specific heat capacity in different thermodynamic contexts
USEFUL FOR

This discussion is beneficial for physicists, chemists, and students studying thermodynamics, particularly those interested in the relationships between thermodynamic quantities and their implications in physical systems.

"pi"mp
Messages
129
Reaction score
1
I'm wondering if there's a simple relation between the specific heat capacity (at constant chemical potential) and the Helmholtz Free Energy? I can't seem to find a relation in the literature between these three quantities, specifically.
 
Science news on Phys.org
There shouldn't be one...
Since dF = -S\, dT - p\, dV or dF = -S\, dT - p\, dV + \mu \, dN, F can only be identified with work in isothermal process: \Delta F = \Delta W, and not with heat.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
Replies
11
Views
2K
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
15K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K