We consider a special case of the problem of computing the Galois group of a system of linear ordinary differential equations Y = M Y , M โ C(x) nรn . We assume that C is a computable, characteristic-zero, algebraically closed constant field with a factorization algorithm. There exists a decision pr
Phase equilibria and thermodynamics of (silver  +  rhodium  +  oxygen)
โ Scribed by K.T. Jacob; ; T. Uda; ; T.H. Okabe; ; Y. Waseda
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 244 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0021-9614
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โฆ Synopsis
An isothermal section of the phase diagram for (silver + rhodium + oxygen) at T = 1173 K has been established by equilibration of samples representing twelve different compositions, and phase identification after quenching by optical and scanning electron microscopy (s.e.m.), X-ray diffraction (x.r.d.), and energy dispersive analysis of X-rays (e.d.x.). Only one ternary oxide, AgRhO 2 , was found to be stable and a three phase region involving Ag, AgRhO 2 and Rh 2 O 3 was identified. The thermodynamic properties of AgRhO 2 were measured using a galvanic cell in the temperature range 980 K to 1320 K. Yttria-stabilized zirconia was used as the solid electrolyte and pure oxygen gas at a pressure of 0.1 MPa was used as the reference electrode. The Gibbs free energy of formation of the ternary oxide from the elements, f G o (AgRhO 2 ), can be represented by two linear equations that join at the melting temperature of silver. In the temperature range 980 K to 1235 K, f G o (AgRhO 2 )/(J โข mol -1 ) = -249080 + 179.08 T /K (ยฑ120). Above the melting temperature of silver, in the temperature range 1235 K to 1320 K, f G o (AgRhO 2 )/(J โข mol -1 ) = -260400 + 188.24 T /K (ยฑ95). The thermodynamic properties of AgRhO 2 at T = 298.15 K were evaluated from the high temperature data. The chemical potential diagram for (silver + rhodium + oxygen) at T = 1200 K was also computed on the basis of the results of this study.
๐ SIMILAR VOLUMES
are presented. The proofs are based on the alternative method, a connectedness result, the contraction mapping principle, and a detailed analysis of the bifurcation equation utilizing, e.g., a generalization of the mean value theorem for integrals. We shall obtain results with g bounded or unbounded
Liquid + liquid) equilibrium data are presented for (acetonitrile + acetic acid, or propanoic acid, or butanoic acid, or 2-methylpropanoic acid, or pentanoic acid, or 3methylbutanoic acid + cyclohexane) at T = 298.15 K. The relative mutual solubility of each of the carboxylic acids is higher in the
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