How Are the Two Formulations of the Third Law of Thermodynamics Equivalent?

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Discussion Overview

The discussion centers on the equivalence of two formulations of the third law of thermodynamics: one stating that it is impossible to cool a body to absolute zero by any finite process, and the other indicating that as a system approaches absolute zero, all processes cease and the entropy approaches a minimum value. Participants seek to understand the relationship between these formulations.

Discussion Character

  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that cooling a system involves reducing its kinetic energy and entropy, suggesting that reaching absolute zero implies a state of minimum entropy and maximum order.
  • Others argue that the two formulations of the third law are not equivalent, referencing a specific source, Landsberg's "Thermodynamics and statistical mechanics," to support their view.
  • A participant notes the significance of the term "minimum value" in the second formulation, claiming it aligns with the impossibility stated in the first formulation.
  • Several participants share anecdotes about their lecturers summarizing the laws of thermodynamics in a humorous way, indicating a common teaching approach but not contributing directly to the equivalence debate.

Areas of Agreement / Disagreement

There is disagreement among participants regarding the equivalence of the two formulations of the third law of thermodynamics. Some support the idea of equivalence, while others explicitly state they are not equivalent.

Contextual Notes

Participants reference specific texts and personal experiences with lecturers, which may influence their perspectives. The discussion includes varying interpretations of key terms such as "minimum value" and "entropy," which could affect the understanding of the formulations.

paweld
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The are at least two different formulation of third law of thermodynamics:
(1) it's impossible to cool a body to absolute zero by any finite process,
(2) as a system approaches absolute zero, all processes cease and the entropy
of the system approaches a minimum value.
I don't know why they are equivalnet. Can anyone explain it to me?
Thanks.
 
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Generically, cooling something means making it stand still. You're taking the kinetic energy away from it (your table, chair, and even the snow at -40 F in my backyard in the winter all have rapidly moving molecules in them and lots of energy compared to something near 0 K).

Another way to put it, you're ordering the system... reducing it's entropy. If the system reaches a state where it's at its minimum entropy... i.e. minimum disorder... i.e. maximum order, than you can't get it to "sit still" anymore than that. It's as ordered as it's going to get.
 
My old thermodynamics lecturer summed up the three laws of thermodynamics thus
You can't win
You can't even break even
You can't even leave the game
 
They are not equivalent, see Landsberg, "Thermodynamics and statistical mechanics", Dover Publ.
 
DrDu said:
They are not equivalent, see Landsberg, "Thermodynamics and statistical mechanics", Dover Publ.

which chapter?
 
Jobrag said:
My old thermodynamics lecturer summed up the three laws of thermodynamics thus
You can't win
You can't even break even
You can't even leave the game

I like it :smile:

paweld said:
The are at least two different formulation of third law of thermodynamics:
(1) it's impossible to cool a body to absolute zero by any finite process,
(2) as a system approaches absolute zero, all processes cease and the entropy
of the system approaches a minimum value.
I don't know why they are equivalnet. Can anyone explain it to me?
Thanks.
Notice the "minimum value" in (2). That's the same as "impossible to cool a body to absolute zero" in (1). If you could get something to absolute zero, then there is no "minimum value".
 
Jobrag, were you at Sussex? My lecturer there used those exact phrases. His name was John Barrow.

Mat
 
I had a lecturer who said that to. I think it's fairly common.
 

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