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Thermodynamics of Mixtures (Multicomponent Systems)

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Chemical Thermodynamics

Abstract

This is the central chapter of the book which is not only concerning the arrangements of the eleven chapters but also has the key role from the point of view of chemical thermodynamics. The reader finds a meticulously explained description of the basic thermodynamic characteristics of multicomponent systems which are of paramount importance in chemistry. Though the composition variable is explicitly present in the formalism from the beginning of the book, and the chemical potential is also introduced at an early stage, the complicated dependence of the chemical potential on the composition of various mixtures needs a special approach. The most common and useful thermodynamic function in chemical applications is the chemical potential – mainly as a function of pressure and temperature – thus the chapter concentrates on the dependence on composition of the chemical potential when the other variables are pressure and temperature. Widely used partial molar quantities are also introduced at the beginning of the chapter, with a short discussion of their experimental determination. The thermodynamic discussion of mixtures begins with the basic formalism on the example of a mixture of ideal gases, and then this description – the ideal mixture formalism – is extended for use in the case of real mixtures. In discussing real mixtures, emphasize is on the precise treatment of various activities and reference states or standard states related to the relative activities. The definition of the activity coefficient is based on excess quantities. A detailed comparison and interrelation of different activities is also shown, including the case of ideal dilute solutions. Thermodynamic properties of real solutions are deduced from the chemical potential function.

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Notes

  1. 1.

    The word comes from the Latin binarius meaning “two things together”. Its meaning in mathematics is the system of numbers consisting of two symbols, usually 0 and 1.

  2. 2.

    John Dalton (1766–1844) was an English chemist and physicist, one of the determining persons who established and made accepted the atomic theory in chemistry. His experimental studies on gases also contributed to the development of his atomic theory.

  3. 3.

    The symbol ⊖ has been devised by Samuel Plimsoll (1825–1898) as a safe load line on ships to avoid overloading. Plimsoll was a liberal Member of Parliament and succeded to prescribe the safe load line in a bill. IUPAC introduced the “plimsoll sign” to denote the reference state in 1970, but it considers the sign and ° as equally acceptable. In the rest of the book, we shall use .

  4. 4.

    Fugacity was introduced by the American chemist Gilbert Newton Lewis (1875–1946) in 1908 to calculate the chemical potential of components in gas mixtures. The quantity f i  = ϕ i p i should properly be called as partial fugacity (in analogy to the partial pressure p i ) as the fugacity of a component in a mixture is typically not identical to the fugacity of the same pure component at the pressure p i . However, this name is not used and we shall not use it either in this book. The word fugacity is coined from the Latin fuga = escape and the word capacity which is also of Latin origin, thus referring to the “capacity to escape” of the gas.

  5. 5.

    The name is based on the word ratio, referring to the mole fraction as a ratio of amounts.

Further Reading

  • Atkins P, de Paula J (2009) Physical chemistry, 9th edn. Oxford University Press, Oxford

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  • Balzhiser RE, Samuels MR, Eliassen JD (1972) Chemical engineering thermodynamics – the study of energy, entropy, and equilibrium. Prentice-Hall, Englewood Cliffs, NJ

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  • Denbigh KG (1981) The principles of chemical equilibrium, 4th edn. Cambridge University Press, Cambridge

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  • Guggenheim EA (1952) Mixtures. Clarendon, Oxford

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  • Guggenheim EA (1985) Thermodynamics: an advanced treatment for chemists and physicists, 7th edn. North Holland, Amsterdam

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  • IUPAC Task Group (1994) Standard quantities in chemical thermodynamics. Fugacities, activities and equilibrium constants for pure and mixed phases (IUPAC Recommendations 1994). Pure Appl Chem 66:533–552

    Article  Google Scholar 

  • Keszei E, Aszódi A, Balázs L, Borosy A (1990) Extrapolation to infinite dilution using a least-squares estimation. J Chem Educ 67:566–569

    Article  CAS  Google Scholar 

  • Silbey LJ, Alberty RA, Moungi GB (2004) Physical chemistry, 4th edn. Wiley, New York

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Correspondence to Ernő Keszei .

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© 2012 Springer-Verlag Berlin Heidelberg

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Keszei, E. (2012). Thermodynamics of Mixtures (Multicomponent Systems). In: Chemical Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19864-9_6

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