Showing papers on "Gibbs–Duhem equation published in 1975"

Metric geometry of equilibrium thermodynamics. II. Scaling, homogeneity, and generalized Gibbs–Duhem relations

Abstract: It is shown that the classical Gibbs–Duhem relation can be regarded, in the abstract metric framework proposed recently, as expressing the obvious geometric impossibility of finding r + 1 linearly independent vectors in an r‐dimensional space. Certain connections between generalized Gibbs–Duhem relations and permissible scaling hypotheses for thermodynamic potentials are noted.

The relationship between Gibbs free energy and the intersection of the liquidi in phase diagrams of reciprocal systems

Abstract: In the phase diagrams of reciprocal systems with negligible solubilities in the solid state the liquidi of the stable pair intersect. A relationship between the length of this intersection and the Gibbs free energy for the reciprocal reaction of the pure solids has been derived. Calculated values from experimental results are compared with data from free energy tables and show good agreement.

Discussion of “mathematical representation of thermodynamic properties of binary system and solution of Gibbs-Duhem equation”

Abstract: The conclusion that orthogonal series is an advantageous method of representing the thermodynamics of binary solutions is examined. It is noted that at least three terms are normally required in representations but seldom more than five. The inclusion of supplementary conditions to control the smoothness would only increase the number by one or two. (JRD)