How to better understand thermodynamics? With statistical mechanics?

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SUMMARY

This discussion focuses on understanding thermodynamics through the lens of statistical mechanics. Participants emphasize the importance of a solid foundation in basic physics concepts such as energy, work, and momentum. The conversation highlights that potential energy is often overlooked in thermodynamics due to the large number of atoms involved and the focus on equilibrium states. Key points include the clarification of the first law of thermodynamics, which states that the total energy of an isolated system remains constant, and the significance of kinetic energy in relation to temperature.

PREREQUISITES
  • Basic physics concepts: energy, work, and momentum
  • Understanding of the first law of thermodynamics
  • Familiarity with statistical mechanics principles
  • Knowledge of kinetic and potential energy in thermodynamic systems
NEXT STEPS
  • Study the first law of thermodynamics in detail
  • Explore statistical mechanics and its applications in thermodynamics
  • Investigate the role of kinetic energy in thermodynamic processes
  • Examine thermodynamic cycles and their implications in real-world systems
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Students of physics, engineers, and anyone seeking a deeper understanding of thermodynamics and its relationship with statistical mechanics.

pivoxa15
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Does anyone understand thermodynamics? There are so many terms that I feel that I am doing the maths but not really understanding the physics.

Is it better to do stuff from a stat physics way (which makes more sense) and derive the thermodynamic relations from there?
 
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I was a bit stunned as I was reviewing my notes from a 3 week break. I then reviwed 1st year thermodynamics material and the stuff came back to me a bit and now I am back into it again. So there is physical understanding after all.
 
Yes - people, particularly physicists and many engineers, understand thermodynamics. It does help to have a firm grounding in basic physics, particular an understanding of energy/work and momentum, and force.
 
It seems that the concept of potential energy doesn't arise in thermodynamics because of the huge number of atoms in the system. Or is it because thermodynamics deals with equilibrium situations and so no foce is acted on the system (i.e. forces all cancel).

Or is it because the system is not usually conserved as the 1nd law suggests that total energy of the system can change. So keeping a potential energy in the system would be meaningless. It is only meaningful to account for the kinetic energy of molecules which comes into full fruition when relating it to the temperture in the system.
 
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pivoxa15 said:
as the 1nd law suggests that total energy of the system can change.
Huh? That's not the 1st law that I remember.
 
Oh, dear. Please open your thermo book and reread it cover to cover.
 
what about studying thermodynamics from a chemistry perspective?

that might help you get a more conceptual understanding.
 
pivoxa15 said:
It seems that the concept of potential energy doesn't arise in thermodynamics because of the huge number of atoms in the system. Or is it because thermodynamics deals with equilibrium situations and so no foce is acted on the system (i.e. forces all cancel).
I'm not sure what the number of atoms has to do with anything, but if you mean gravitational potential energy, it can come into play but doesn't often because you don't generally have large changes in elevation with basic thermodynamic cycles.
Or is it because the system is not usually conserved as the 1nd law suggests that total energy of the system can change. So keeping a potential energy in the system would be meaningless. It is only meaningful to account for the kinetic energy of molecules which comes into full fruition when relating it to the temperture in the system.
Huh? Total energy of an isolated system must be conserved. That's what the first law says. If you drop a rock off a cliff, you convert potential energy to kinetic, during the fall, the total energy never changes.

If you mean potential energy in terms of a compressed gas, it's the same. You convert it to kinetic energy (minus the ever-present entropy), but the total stays the same.
 
cesiumfrog said:
Huh? That's not the 1st law that I remember.

Change in U=Q-W. So yes, the total energy of the system can change according to how much heat and work that has occurred in the larger system (the system is a subset of the larger system). However the total energy in the larger system (i.e universe) is usually constant.
 
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russ_watters said:
I'm not sure what the number of atoms has to do with anything,

The book suggested that when the number of atoms is large, the individual trajectories of atoms are discarded. Normally in smaller system accounting for a countable number of particles with forces, it is convenient to use kinetic and potential energy if the system is isolated.
russ_watters said:
Huh? Total energy of an isolated system must be conserved. That's what the first law says. If you drop a rock off a cliff, you convert potential energy to kinetic, during the fall, the total energy never changes.
The 1st law is an extension of the isolated system and considering a system inside a larger system, i.e. bath or universe. Hence the system as oppossed to the bath is not isolated. That is much more realistic wouldn't you say?

If the system doesn't interact with the surrounding than the 1st law is reduced to the isolated system's case of total energy = constant.
russ_watters said:
If you mean potential energy in terms of a compressed gas, it's the same. You convert it to kinetic energy (minus the ever-present entropy), but the total stays the same.

So this would be the case of a gas trapped inside a cyclinder without any outside contact. However W can be nonzero as the gas expands and contracts but is 0 if the system is inside a vacuum. Q=0 always in this case.

In fact it makes a lot of sense because suppose we had an oscillating spring in an air filled room. If we let it oscillate by starting its position from a non equilibrium position, it will eventually slow down because it is doing work on the air molecules hence losing total energy. It is directly losing kinetic energy thereby not springing to as far a distance as before hence decreasing its potential energy as well and the cycle spirals until no energy is left.
 
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