Explain Entropy & Heat Flow: Thermodynamic Formulas & Multiplicity

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SUMMARY

The discussion centers on the relationship between entropy and heat flow in thermodynamics, specifically referencing the Helmholtz free energy (F) and its dependence on entropy (S). It is established that a system with higher entropy can absorb more heat from its surroundings, as indicated by the formula F = U - TS, where U represents internal energy. The thermodynamic identity and multiplicity concepts are crucial for understanding this relationship, emphasizing that increased entropy correlates with greater energy availability for heat transfer.

PREREQUISITES
  • Understanding of thermodynamic concepts, particularly entropy and heat flow.
  • Familiarity with the Helmholtz free energy formula (F = U - TS).
  • Knowledge of thermodynamic identities and their applications.
  • Basic grasp of statistical mechanics and multiplicity.
NEXT STEPS
  • Study the derivation and implications of the Helmholtz free energy in thermodynamics.
  • Explore the concept of multiplicity in statistical mechanics and its relation to entropy.
  • Learn about the thermodynamic identity and its applications in various systems.
  • Investigate real-world examples of heat flow in systems with varying entropy levels.
USEFUL FOR

This discussion is beneficial for physics students, thermodynamics researchers, and educators seeking to deepen their understanding of entropy, heat transfer, and the Helmholtz free energy in thermodynamic systems.

aaaa202
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In my book it says: The bigger entropy of a system, the more heat from the surroundings can enter it. Now, I don't really understand why that is completely. Can anyone explain me? - both in terms of the actual thermodynamic formulas (thermodynamic identity etc.) and in terms of multiplicity?

Maybe I have misunderstood something so here is what my book says in exact words:
"The helmholtz energy F is the total energy needed to create a system minus the energy you can get for free from an atmosphere at temperature T. This energy is given by TS, where S is the final entropy of the system. THE MORE ENTROPY A SYSTEM HAS THE MORE OF ITS ENERGY CAN ENTER AS HEAT "
 
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aaaa202 said:
In my book it says: The bigger entropy of a system, the more heat from the surroundings can enter it. Now, I don't really understand why that is completely. Can anyone explain me? - both in terms of the actual thermodynamic formulas (thermodynamic identity etc.) and in terms of multiplicity?

Maybe I have misunderstood something so here is what my book says in exact words:
"The helmholtz energy F is the total energy needed to create a system minus the energy you can get for free from an atmosphere at temperature T. This energy is given by TS, where S is the final entropy of the system. THE MORE ENTROPY A SYSTEM HAS THE MORE OF ITS ENERGY CAN ENTER AS HEAT "
As a Physics Forums mentor with expertise in Thermodynamics, I have no idea what this means.
 

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