Fluctuation Theory of Solutions
Fluctuation Theory of Solutions

Author: Paul E. Smith

Publisher: CRC Press

Published: 2016-04-19

Total Pages: 383

ISBN-13: 1439899231

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There are essentially two theories of solutions that can be considered exact: the McMillan-Mayer theory and Fluctuation Solution Theory (FST). The first is mostly limited to solutes at low concentrations, while FST has no such issue. It is an exact theory that can be applied to any stable solution regardless of the number of components and their co

Thermodynamic Properties of Fluids from Fluctuation Solution Theory
Thermodynamic Properties of Fluids from Fluctuation Solution Theory

Author:

Publisher:

Published: 1990

Total Pages: 23

ISBN-13:

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Fluctuation Theory develops exact relations between integrals of molecular correlation functions and concentration derivatives of pressure and chemical potential. These quantities can be usefully correlated, particularly for mechanical and thermal properties of pure and mixed dense fluids and for activities of strongly nonideal liquid solutions. The expressions yield unique formulae for the desirable thermodynamic properties of activity and density. The molecular theory origins of the flucuation properties, their behavior for systems of technical interest and some of their successful correlations will be described. Suggestions for fruitful directions will be suggested.

Thermodynamics of Solutions
Thermodynamics of Solutions

Author: Eli Ruckenstein

Publisher: Springer Science & Business Media

Published: 2009-06-17

Total Pages: 349

ISBN-13: 1441904409

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This book consists of a number of papers regarding the thermodynamics and structure of multicomponent systems that we have published during the last decade. Even though they involve different topics and different systems, they have something in common which can be considered as the “signature” of the present book. First, these papers are concerned with “difficult” or very nonideal systems, i. e. systems with very strong interactions (e. g. , hyd- gen bonding) between components or systems with large differences in the partial molar v- umes of the components (e. g. , the aqueous solutions of proteins), or systems that are far from “normal” conditions (e. g. , critical or near-critical mixtures). Second, the conventional th- modynamic methods are not sufficient for the accurate treatment of these mixtures. Last but not least, these systems are of interest for the pharmaceutical, biomedical, and related ind- tries. In order to meet the thermodynamic challenges involved in these complex mixtures, we employed a variety of traditional methods but also new methods, such as the fluctuation t- ory of Kirkwood and Buff and ab initio quantum mechanical techniques. The Kirkwood-Buff (KB) theory is a rigorous formalism which is free of any of the - proximations usually used in the thermodynamic treatment of multicomponent systems. This theory appears to be very fruitful when applied to the above mentioned “difficult” systems.

Molecular Thermodynamics Of Electrolyte Solutions (Second Edition)
Molecular Thermodynamics Of Electrolyte Solutions (Second Edition)

Author: Lloyd L Lee

Publisher: World Scientific

Published: 2021-01-07

Total Pages: 295

ISBN-13: 9811233012

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Electrolytes and salt solutions are ubiquitous in chemical industry, biology and nature. This unique compendium introduces the elements of the solution properties of ionic mixtures. In addition, it also serves as a bridge to the modern researches into the molecular aspects of uniform and non-uniform charged systems. Notable subjects include the Debye-Hückel limit, Pitzer's formulation, Setchenov salting-out, and McMillan-Mayer scale. Two new chapters on industrial applications — natural gas treating, and absorption refrigeration, are added to make the book current and relevant.This textbook is eminently suitable for undergraduate and graduate students. For practicing engineers without a background in salt solutions, this introductory volume can also be used as a self-study.

Molecular Thermodynamics of Fluid-Phase Equilibria
Molecular Thermodynamics of Fluid-Phase Equilibria

Author: John M. Prausnitz

Publisher: Pearson Education

Published: 1998-10-22

Total Pages: 1149

ISBN-13: 0132440504

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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 of Fluid-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 other professionals working with mixtures and related processes.

Non-equilibrium Energy Transformation Processes
Non-equilibrium Energy Transformation Processes

Author: Viktor Holubec

Publisher: Springer

Published: 2014-05-22

Total Pages: 161

ISBN-13: 3319070916

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Various experimental techniques have been advanced in recent years to measure non-equilibrium energy transformations on the microscopic scale of single molecules. In general, the systems studied in the corresponding experiments are exposed to strong thermal fluctuations and thus the relevant energetic variables such as work and heat become stochastic. This thesis addresses challenging theoretical problems in this active field of current research: 1) Exact analytical solutions of work and heat distributions for isothermal non-equilibrium processes in suitable models are obtained; 2) Corresponding solutions for cyclic processes involving two different heat reservoirs are found; 3) Optimization of periodic driving protocols for such cyclic processes with respect to maximal output power, efficiency and minimal power fluctuations is studied. The exact solutions for work and heat distributions provide a reference for theoretical investigations of more complicated models, giving insight into the structure of the tail of work distributions and serving as valuable test cases for simulations of the underlying stochastic processes.

Statistical Thermodynamics of Nonequilibrium Processes
Statistical Thermodynamics of Nonequilibrium Processes

Author: Joel Keizer

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 517

ISBN-13: 1461210542

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The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.

Micellar Solutions and Microemulsions
Micellar Solutions and Microemulsions

Author: Sow Hsin Chen

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 311

ISBN-13: 1461389380

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During the last decade there has been a renewed interest in research on supramolecular assemblies in solutions, such as micelles and microemulsions, not only because of their extensive applications in industries dealing with catalysts, detergency, biotechnology, and enhanced oil recovery, but also due to the development of new and more powerful experimental and theoretical tools for probing the microscopic behavior of these systems. Prominent among the array of the newly available experimental techniques are photon correlation spectroscopy, small-angle neutron and X-ray scattering, and neutron spin-echo and nuclear magnetic resonance spectroscopies. On the theoretical side, the traditionally emphasized thermodynamic approach to the study of the phase behavior of self-assembled systems in solutions is gradually being replaced by statistical mechanical studies of semi-micro scopic and microscopic models of the assemblies. Since the statistical mechanical approach demands as its starting point the microscopic struc tural information of the self-assembled system, the experimental determina tion of the structures of micelles and microemulsions becomes of paramount interest. In this regard the scattering techniques mentioned above have played an important role in recent years and will continue to do so in the future. In applying the scattering techniques to the supramolecular species in solution, one cannot often regard the solution to be ideal. This is because the inter-aggregate interaction is often long-ranged since it is coulombic in nature and the interparticle correlations are thus appreciable.