Various ways of building quasi-Newton matrix approximations that satisfy the special form of the Gibbs-Duhem equation are studied. Partition symmetry, the separability of the functions In y and In 4, and the method of iterated projections are used in order t o develop thermodynamically consistent ma
Exact forms of the unrestricted Gibbs-Duhem equation
β Scribed by H.C. Van Ness
- Publisher
- Elsevier Science
- Year
- 1959
- Tongue
- English
- Weight
- 308 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0009-2509
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β¦ Synopsis
The exact forms of the Gibbs-Duhem equation in terms of fugacities and activity coefficients, applicable to any multicomponent phase, are developed in a straightforward manner. Reduction to restricted equations valid for constant temperature, constant pressure, or constant composition becomes a simple matter of dropping terms. RBsum&L'auteur developpe de fagon directe les formes de l'equation de Gibbs-Duhem en fonction des coefficients de fugacitt et d'activite, applicable a n'importe quelle phase B plusieurs composants. Le passage aux equations restreintes, valables pour une temperature con&ante, une pression constante, ou une composition constante, se resume a une simple suppression de termes. Zusammenfassung-Die exakten Formen der Gibbs-Duhem-Gleichung in Ausdriicken der Fugazitaten und Aktivitiitskoeffizienten, die auf eine Phase mit mehreren Komponenten anwendbar ist, werden in einfacher Weise entwickelt. Die eingeschrlnkte Gleichung fiir konstante Temperatur, konstanten Druck, oder konstantc Zusammensetzung crhiilt man durch einfaches Streichen von Ausdriicken.
π SIMILAR VOLUMES
The general methods of testing thermodynamic data for binary solutions by the Gibbs-Duhem equation are briefly reviewed, and a new "composition-resolution " test is proposed. Thermodynamically exact methods of testing binary vapour-liquid equilibrium data, both for constant pressure and for constant