On the so-called Gibbs paradox, and on the real paradox

Entropy

Volumn 9, Issue 3, 2007, Pages 132-136

  Ben Naim, Arieh ^a,b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Gibbs paradox

Indexed keywords

EID: 34848829442     PISSN: None     EISSN: 10994300     Source Type: Journal    
DOI: 10.3390/e9030133     Document Type: Article

References (9)

1. Gibbs, J.W Scientific papers, Vol. I Thermodynamics; Longmans Green: New York, 1906; p. 166.
2. Ben-Naim, A. Statistical thermodynamics based on Information. A farewell to Entropy.; Scientific-World: Singapore, 2007.
3. Hill, T.L. Introduction to Statistical Thermodynamics; Addison Wesley, Reading, Mass, 1960.
4. Ben-Naim, A. Molecular Theory of solutions; Scientific-World: Singapore, 2006.
5. Note that if one uses the purely classical partition function for ideal gases, one does not get the results (1) and (2) which are consistent with experiments. We assume here that (1) and (2) were derived from the classical limit of the quantum mechanical partition function, i.e., after introducing the correction due to the ID of the particles.
6. See for example reference 2.
7. Gibbs(1906) page 167
8. Ben-Naim, A. Is mixing a thermodynamic process? Am. J of Phys. 1987, 55, 725-733.
9. Ben-Naim, A. Entropy Demystified. The second law of thermodynamics reduced to plain common sense.; World Scientific: Singapore, 2007.