The Relationship Between Entropy, Energy, and Equilibrium

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SUMMARY

The discussion centers on the relationship between entropy, energy, and equilibrium in physical systems. Participants agree that while energy tends to decrease and entropy tends to increase as systems approach equilibrium, this is not an absolute rule. The conversation highlights that potential energy indicates disequilibrium, as it is stored energy that can be converted into kinetic energy through mechanical work. Additionally, the notion that entropy always increases is challenged, with the understanding that it is likely to increase in large systems but can occasionally decrease.

PREREQUISITES
  • Understanding of thermodynamics principles, particularly the laws of thermodynamics.
  • Familiarity with concepts of entropy and energy states.
  • Knowledge of mechanical work and its relation to potential and kinetic energy.
  • Basic grasp of statistical mechanics and the behavior of particles in systems.
NEXT STEPS
  • Research the laws of thermodynamics, focusing on the implications of entropy and energy changes.
  • Study the Virial theorem and its applications in understanding energy distributions in systems.
  • Explore the concept of equilibrium in thermodynamic systems and its mathematical formulations.
  • Investigate specific cases where entropy decreases, such as in non-equilibrium thermodynamics.
USEFUL FOR

Students of physics, thermodynamics enthusiasts, and professionals in fields related to energy systems and statistical mechanics will benefit from this discussion.

Taturana
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I've been thinking about some relations between energy, entropy and equilibrium but I don't know if I'm right.

We know that everything in nature tends to the equilibrium, right? Also in every system in universe the entropy tends to increase... so, the higher the entropy the higher is the equilibrium is the system, that's right?

I also thought that mechanical work is the way that the potential energy is converted into kinetic energy. Potential energy means disequilibrium, because if something has potential energy that means that this thing has energy stored in some place, and this energy is certainly going to be converted into kinetic energy in some moment (so it will generate disequilibrium because we will have a force, because work is force times distance).

If my thinks are right I can conclude that everything tends to equilibrium, the entropy tends to increase and the potential energy tends to decrease in every system.

Am I right? or am I just saying absurds?

Thanks all
 
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Yes, in general, energy tends to decrease and entropy tends to increase as you go towards equilibrium, this is usually taught in HS chemistry.

Enthalpy (energy) wants to go down, Entropy wants to go up.
 
Taturana said:
We know that everything in nature tends to the equilibrium, right?
I wouldn't say it this way. It's rather that nature stay in stable states, because... they are stable. So it evolves randomly, but once it reaches a states that has himself as the successor, it will stay there forever for obvious reasons.

Taturana said:
Also in every system in universe the entropy tends to increase... so, the higher the entropy the higher is the equilibrium is the system, that's right?
For this I started another thread
https://www.physicsforums.com/showthread.php?t=387938
Entropy doesn't have to increase. It is just very very likely that it will, if there are very many particles. Occationally entropy can drastically decrease.

Taturana said:
I also thought that mechanical work is the way that the potential energy is converted into kinetic energy. Potential energy means disequilibrium, because if something has potential energy that means that this thing has energy stored in some place, and this energy is certainly going to be converted into kinetic energy in some moment
I think this isn't true in general. This idea might only work if you add some more contraints. Maybe considering gases only? Or other special systems? Not sure...
Anyone a suggestion? I find that interesting. A suppose a good starting point is
http://en.wikipedia.org/wiki/Virial_theorem
 

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