Additivity of thermodynamic potentials?

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SUMMARY

The discussion centers on the additivity of thermodynamic potentials, specifically the Helmholtz free energy (F). It is established that F is not additive, as F ≠ F1 + F2 when considering two separate systems. However, under conditions where both systems share the same temperature and exhibit negligible interaction energy, F can be considered additive. This distinction is crucial for understanding the behavior of thermodynamic systems.

PREREQUISITES
  • Understanding of thermodynamic potentials, specifically Helmholtz free energy (F).
  • Knowledge of system interactions and their impact on thermodynamic properties.
  • Familiarity with the concepts of temperature and energy in thermodynamics.
  • Basic principles of statistical mechanics related to thermodynamic systems.
NEXT STEPS
  • Research the conditions under which Helmholtz free energy becomes additive.
  • Explore the properties of other thermodynamic potentials such as Gibbs free energy (G) and enthalpy (H).
  • Study the implications of system interactions on thermodynamic calculations.
  • Learn about the role of temperature in thermodynamic systems and its effect on potential additivity.
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Students and professionals in thermodynamics, physicists, and engineers seeking to deepen their understanding of thermodynamic potentials and their interactions.

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Homework Statement
Two ideal gases, e.g. helium and argon with NA and NB atoms, are mixed, NA + NB = 1 mol. Determine the helmholtz energy of the entire system.
Relevant Equations
F = E - TS
My professor said that F is not additive, meaning F ≠ F1 + F2, where F1 is the helmholtz energy of system 1 and F2 is the helmholtz energy of system 2. So my question is, how can I decide wether a thermodynamic potential (F, H, G) is additive or not?
 
Physics news on Phys.org
If the two systems have the same temperature and have a negligible interaction energy, then F additive.
 

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