Entropy & Heat Flow: Understand Thermodynamics & Multiplicity

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SUMMARY

The discussion centers on the relationship between entropy and heat flow in thermodynamics, specifically referencing the Helmholtz energy and the thermodynamic identity ΔS = ∫dQ/T. It is established that in an open system, the heat flow into the system is influenced by the temperatures and heat capacities of both the system and its surroundings. The confusion arises from the interpretation of entropy; while increased entropy allows for more heat to enter, it does not directly cause more heat to flow into the system. The key takeaway is that as heat enters a system, its entropy increases, not the other way around.

PREREQUISITES
  • Understanding of thermodynamic identities, particularly ΔS = ∫dQ/T
  • Familiarity with Helmholtz energy and its implications in thermodynamics
  • Knowledge of open systems and their interactions with surroundings
  • Basic principles of heat capacity and temperature relationships
NEXT STEPS
  • Study the concept of Helmholtz energy in detail, focusing on its applications in thermodynamics
  • Explore the implications of the second law of thermodynamics on entropy and heat flow
  • Learn about open systems and their characteristics in thermodynamic processes
  • Investigate the relationship between temperature, heat capacity, and entropy in various materials
USEFUL FOR

Students of thermodynamics, physicists, and engineers seeking to deepen their understanding of entropy, heat flow, and the principles governing open 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?
 
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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?
I don't think that is what your book says, exactly. Perhaps there is a translation problem because what you have written does not really make any sense. It would make sense if the book said that as heat from the surroundings enters the system, the entropy of the system increases. This is because ΔS = ∫dQ/T

You are looking at an open system - one that can interact with its surroundings. In such a system, the amount of heat that can flow into the system depends on the temperature of the surroundings, the temperature of the system and the heat capacities of both the system and surroundings. As net heat flows into the system, the entropy of the system increases. This increase in entropy does not result in more heat entering the system.

AM
 
maybe I am interpreting it wrong. It's about the Helmholtz energy, and the book says:

"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 "

What do you get from that? Where am I going wrong? :)
 

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