VAPOR-LIQUID EQUILIBRIA Using the Gibbs Energy and the Common Tangent Plane Criterion
ChE curriculum VAPOR-LIQUID EQUILIBRIA Using the Gibbs Energy and the Common Tangent Plane Criterion MARÍA DEL MAR OLAYA, JUAN A. REYES-LABARTA, MARÍA DOLORES SERRANO, ANTONIO MARCILLA University of Alicante • Apdo. 99, Alicante 03080, Spain hase thermodynamics is often perceived as a difficult overall composition. This is the case with the binary system subject with which many students never become fully in Figure 1(a); it is homogeneous for all compositions. The gM comfortable. It is our opinion that the Gibbsian geo- vs. composition curve is concave down, meaning that no split Pmetrical framework, which can be easily represented in Excel occurs in the global mixture composition to give two liquid spreadsheets, can help students to gain a better understanding phases. Geometrically, this implies that it is impossible to find of phase equilibria using only elementary concepts of high two different points on the gM curve sharing a common tangent school geometry. line. In contrast, the change of curvature in the gM function Phase equilibrium calculations are essential to the simula- as shown in Figure 1(b) permits the existence of two conju- tion and optimization of chemical processes. The task with gated points (I and II) that do share a common tangent line these calculations is to accurately predict the correct number and which, in turn, lead to the formation of two equilibrium of phases at equilibrium present in the system and their com- liquid phases (LL). Any initial mixture, as for example zi in positions. Methods for these calculations can be divided into Figure 1(b), located between the inflection points s on the M 2 M dx2 two main categories: the equation-solving approach (K-value g curve, is intrinsically unstable (d g / i <0) and splits method) and minimization of the Gibbs free energy.
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