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 simp
Exploiting the Gibbs-Duhem equation in separation calculations
β Scribed by S. Venkataraman; Angelo Lucia
- Publisher
- American Institute of Chemical Engineers
- Year
- 1986
- Tongue
- English
- Weight
- 829 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0001-1541
No coin nor oath required. For personal study only.
β¦ Synopsis
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 matrix approximations with good secant information. Many examples are presented which show that exploiting the special form of the Gibbs-Duhem equation results in improved numerical performance. Ways of exploiting the Gibbs-Helmholtz equation in addition to the special form of Gibbs-Duhem equation, and thus the isobaric form of the Gibbs-Duhem equation, are also discussed.
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