Entropy 1999, 1[2], 25-36
Entropy
ISSN 1099-4300
http://www.mdpi.org/entropy/

Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox

Vasili Tatarin1* and Oleg Borodiouk2

1 38 Vitovskogo str., apt.30, Lviv, 290012, Ukraine.
Phone (+380) 322 724954, Fax (+380) 322 631565,
URL http://www.lviv.ua/~vasya/personal.html, E-mail: [email protected]
2 43 Volodimira Velikogo str., apt. 75, Lviv, 290053, Ukraine.
Phone (+380) 322 337815,
E-mail: [email protected]
* Author to whom correspondence should be addressed.

Received: 2 February 1999 / Accepted: 16 May 1999 / Published: 23 May 1999

Abstract: We consider the work of reversible mixing of ideal gases using a real process. Now assumptions were made concerning infinite shifts, infinite number of cycles and infinite work to provide an accurate calculation of entropy resulting from reversible mixing of ideal gases. We derived an equation showing the dependence of this entropy on the difference in potential of mixed gases, which is evidence for the absence of Gibbs' paradox.

Keywords: Gibbs paradox; entropy of mixing; distinguishability; half-penetrable membrane.


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