This book provides a sound foundation for understanding abstract concepts of phase and reaction equilibria (e.g. partial molar Gibbs energy, fugacity, and activity), and shows how to apply these concepts to solve practical problems using numerous clear examples. It also presents numerical methods necessary for solving real-world problems as well the basic mathematics needed, facilitating its use as a self-study reference work. In the example problems requiring MATHCAD® for the solution, the results of the intermediate steps are given, enabling the reader to easily track mistakes and understand the order of magnitude of the various quantities involved. Clear layout, coherent and logical organization of the content, and presentation suitable for self-study Provides analytical equations in dimensionless form for the calculation of changes in internal energy, enthalpy, and entropy as well as departure functions and fugacity coefficients Includes up-to-date information, comprehensive in-depth content and current examples in each chapter Includes many well organized problems (with answers), which are extensions of the examples enabling conceptual understanding for quantitative/real problem solving Includes the mathematical background required for solving problems encountered in phase and reaction equilibria

The first volume of this work is organized in three levels, so that the portion and importance of thermodynamics and mathematics increase from level to level. The ground level shows that basics of phase equilibria can be understood without thermodynamics provided the concept of chemical potential is introduced early. The intermediate level introduces thermodynamics, culminating in the Gibbs energy as the arbiter for equilibrium. At the third level the accent is on binary systems, where one or more phases are solutions of the components. Priority is given throughout to the thermodynamic assessment of experimental data. 200 exercises are included with solutions.

Traditionally, the teaching of phase equilibria emphasizes the relationships between the thermodynamic variables of each phase in equilibrium rather than its engineering applications. This book changes the focus from the use of thermodynamics relationships to compute phase equilibria to the design and control of the phase conditions that a process needs. Phase Equilibrium Engineering presents a systematic study and application of phase equilibrium tools to the development of chemical processes. The thermodynamic modeling of mixtures for process development, synthesis, simulation, design and optimization is analyzed. The relation between the mixture molecular properties, the selection of the thermodynamic model and the process technology that could be applied are discussed. A classification of mixtures, separation process, thermodynamic models and technologies is presented to guide the engineer in the world of separation processes. The phase condition required for a given reacting system is studied at subcritical and supercritical conditions. The four cardinal points of phase equilibrium engineering are: the chemical plant or process, the laboratory, the modeling of phase equilibria and the simulator. The harmonization of all these components to obtain a better design or operation is the ultimate goal of phase equilibrium engineering. Methodologies are discussed using relevant industrial examples The molecular nature and composition of the process mixture is given a key role in process decisions Phase equilibrium diagrams are used as a drawing board for process implementation

Computational tools allow material scientists to model and analyze increasingly complicated systems to appreciate material behavior. Accurate use and interpretation however, requires a strong understanding of the thermodynamic principles that underpin phase equilibrium, transformation and state. This fully revised and updated edition covers the fundamentals of thermodynamics, with a view to modern computer applications. The theoretical basis of chemical equilibria and chemical changes is covered with an emphasis on the properties of phase diagrams. Starting with the basic principles, discussion moves to systems involving multiple phases. New chapters cover irreversible thermodynamics, extremum principles, and the thermodynamics of surfaces and interfaces. Theoretical descriptions of equilibrium conditions, the state of systems at equilibrium and the changes as equilibrium is reached, are all demonstrated graphically. With illustrative examples - many computer calculated - and worked examples, this textbook is an valuable resource for advanced undergraduates and graduate students in materials science and engineering.

97774-4 The classic guide to mixtures, completely updated with new models, theories, examples, and data. Efficient separation operations and many other chemical processes depend upon a thorough understanding of the properties of gaseous and liquid mixtures. Molecular Thermodynamics of Fluid-Phase Equilibria, Third Edition is a systematic, practical guide to interpreting, correlating, and predicting thermodynamic properties used in mixture-related phase-equilibrium calculations. Completely updated, this edition reflects the growing maturity of techniques grounded in applied statistical thermodynamics and molecular simulation, while relying on classical thermodynamics, molecular physics, and physical chemistry wherever these fields offer superior solutions. Detailed new coverage includes: Techniques for improving separation processes and making them more environmentally friendly. Theoretical concepts enabling the description and interpretation of solution properties. New models, notably the lattice-fluid and statistical associated-fluid theories. Polymer solutions, including gas-polymer equilibria, polymer blends, membranes, and gels. Electrolyte solutions, including semi-empirical models for solutions containing salts or volatile electrolytes. Coverage also includes: fundamentals of classical thermodynamics of phase equilibria; thermodynamic properties from volumetric data; intermolecular forces; fugacities in gas and liquid mixtures; solubilities of gases and solids in liquids; high-pressure phase equilibria; virial coefficients for quantum gases; and much more. Throughout, Molecular Thermodynamics ofFluid-Phase Equilibria strikes a perfect balance between empirical techniques and theory, and is replete with useful examples and experimental data. More than ever, it is the essential resource for engineers, chemists, and oth

Thermodynamics of Phase Equilibria in Food Engineering is the definitive book on thermodynamics of equilibrium applied to food engineering. Food is a complex matrix consisting of different groups of compounds divided into macronutrients (lipids, carbohydrates, and proteins), and micronutrients (vitamins, minerals, and phytochemicals). The quality characteristics of food products associated with the sensorial, physical and microbiological attributes are directly related to the thermodynamic properties of specific compounds and complexes that are formed during processing or by the action of diverse interventions, such as the environment, biochemical reactions, and others. In addition, in obtaining bioactive substances using separation processes, the knowledge of phase equilibria of food systems is essential to provide an efficient separation, with a low cost in the process and high selectivity in the recovery of the desired component. This book combines theory and application of phase equilibria data of systems containing food compounds to help food engineers and researchers to solve complex problems found in food processing. It provides support to researchers from academia and industry to better understand the behavior of food materials in the face of processing effects, and to develop ways to improve the quality of the food products. Presents the fundamentals of phase equilibria in the food industry Describes both classic and advanced models, including cubic equations of state and activity coefficient Encompasses distillation, solid-liquid extraction, liquid-liquid extraction, adsorption, crystallization and supercritical fluid extraction Explores equilibrium in advanced systems, including colloidal, electrolyte and protein systems

Phase Equilibrium in Mixtures deals with phase equilibrium and the methods of correlating, checking, and predicting phase data. Topics covered range from latent heat and vapor pressure to dilute solutions, ideal and near-ideal solutions, and consistency tests. Molecular considerations and their use for the prediction and correlation of data are also discussed. Comprised of nine chapters, this volume begins with an introduction to the role of thermodynamics and the criteria for equilibrium between phases, along with fugacity and the thermodynamic functions of mixing. The discussion then turns to some of the phase phenomena which may be encountered in chemical engineering practice; methods of correlating and extending vapor pressure data and practical techniques for calculating latent heats from these data; the behavior of dilute solutions both at low and high pressures for reacting and non-reacting systems; and the behavior of ideal and near-ideal solutions. The remaining chapters explore non-ideal solutions at normal pressures; practical methods for testing the thermodynamic consistency of phase data; and the extent to which the broad aspects of phase behavior may be interpreted in the light of simple molecular considerations. This book is intended primarily for graduate chemical engineers but should also be of interest to those graduates in physics or chemistry who need to use phase equilibrium data.