Skip to main content
Tweeted twitter.com/StackPhysics/status/1604174607711408131
Post Reopened by hyportnex, Michael Seifert, GiorgioP-DoomsdayClockIsAt-90
Post Closed as "Duplicate" by Roger V., Bob D thermodynamics
using MathJax for formulas
Source Link
Thomas Fritsch
  • 40.1k
  • 13
  • 74
  • 138

We can only speak of entropy change, dS$dS$, when I mention Clausius as dS=δQ/T$$dS=δQ/T$$

However, according to Boltzmann, entropy is defined as S=KlnΩ$S=K\ln\Omega$

My question is, is the 'S'$S$ according to Boltzmann an entropy change as well? Or is it the entropy of the satestate whose disorder number is Ω$\Omega$ and accordingly, ds=kln(Ω_2/Ω_1)$ds=k\ln(\Omega_2/\Omega_1)$?

We can only speak of entropy change, dS, when I mention Clausius as dS=δQ/T

However, according to Boltzmann, entropy is defined as S=KlnΩ

My question is, is the 'S' according to Boltzmann an entropy change as well? Or is it the entropy of the sate whose disorder number is Ω and accordingly, ds=kln(Ω_2/Ω_1)?

We can only speak of entropy change, $dS$, when I mention Clausius as $$dS=δQ/T$$

However, according to Boltzmann, entropy is defined as $S=K\ln\Omega$

My question is, is the $S$ according to Boltzmann an entropy change as well? Or is it the entropy of the state whose disorder number is $\Omega$ and accordingly, $ds=k\ln(\Omega_2/\Omega_1)$?

edited tags
Link
Qmechanic
  • 206.6k
  • 48
  • 566
  • 2.3k
Source Link
Jack
  • 959
  • 3
  • 15

What is the difference between Clausius' entropy and Boltzmann's?

We can only speak of entropy change, dS, when I mention Clausius as dS=δQ/T

However, according to Boltzmann, entropy is defined as S=KlnΩ

My question is, is the 'S' according to Boltzmann an entropy change as well? Or is it the entropy of the sate whose disorder number is Ω and accordingly, ds=kln(Ω_2/Ω_1)?