Gibbs' Entropic Paradox and Problems of Separation Processes reviews the so-called Gibb's Paradox observed during the mixing of two systems. During the last 150 years, many physicists and specialists in thermodynamics, statistical and quantum mechanics been engaged in the solution of the Gibbs paradox. Many books and journal articles have written on this topic, but a widely accepted answer is still lacking. In this book, the author reviews and analyzes all this data. Based on findings, the book formulates a different approach to this paradox and substantiates it on the basis of physical and statistical principles. The book clearly shows that entropy consists of two parts, static and dynamic. Up to now, entropy has been connected only with the process dynamics. However, the Gibbs paradox is caused by the change in the static component of entropy. Finally, the book includes examples of separation processes and how to optimize them in various fields, including biology, cosmology, crystallography and the social sciences. - Provides a precise definition of entropy and allows the formulation of criteria for optimization of separation processes - Explains the role of entropy in many processes, facilitating an in-depth analysis and understanding of complicated systems and processes - Provides solutions to scientific and applied problems in various scientific disciplines related to separation processes - Elucidates entropy's role in many separation systems

Entropy of Complex Processes and Systems formalizes our understanding of many complex processes, including the development of the methodology of analytical computation of complex processes as applied in many industries, such as ore processing, or more generally, in areas of natural sciences. The adequacy of the results of these calculations is confirmed by numerous experimental data obtained both on pilots and industrial facilities. The book also provides a thorough analysis of the underlying physical foundations of entropy performed from new standpoints that are of interest to theoreticians studying contemporary expositions. - Provides methodologies for controlling and optimizing complex processes in branches of industry that involve transformation of materials or substances - Describes entropy as the universal characteristic of a stochastic process independent of the system - Introduces a new definition of entropy specifically related to dynamical phenomena

Designed as an undergraduate-level textbook in Chemical Engineering, this student-friendly, thoroughly class-room tested book, now in its second edition, continues to provide an in-depth analysis of chemical engineering thermodynamics. The book has been so organized that it gives comprehensive coverage of basic concepts and applications of the laws of thermodynamics in the initial chapters, while the later chapters focus at length on important areas of study falling under the realm of chemical thermodynamics. The reader is thus introduced to a thorough analysis of the fundamental laws of thermodynamics as well as their applications to practical situations. This is followed by a detailed discussion on relationships among thermodynamic properties and an exhaustive treatment on the thermodynamic properties of solutions. The role of phase equilibrium thermodynamics in design, analysis, and operation of chemical separation methods is also deftly dealt with. Finally, the chemical reaction equilibria are skillfully explained. Besides numerous illustrations, the book contains over 200 worked examples, over 400 exercise problems (all with answers) and several objective-type questions, which enable students to gain an in-depth understanding of the concepts and theory discussed. The book will also be a useful text for students pursuing courses in chemical engineering-related branches such as polymer engineering, petroleum engineering, and safety and environmental engineering. New to This Edition • More Example Problems and Exercise Questions in each chapter • Updated section on Vapour–Liquid Equilibrium in Chapter 8 to highlight the significance of equations of state approach • GATE Questions up to 2012 with answers

Integrates fundamental concepts with experimental data and practical applications, including worked examples and end-of-chapter problems.

Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.

This book presents the life and personality, the scientific and philosophical work of Ludwig Boltzmann, one of the great scientists who marked the passage from 19th- to 20th-Century physics. His rich and tragic life, ending by suicide at the age of 62, is described in detail. A substantial part of the book is devoted to discussing his scientific and philosophical ideas and placing them in the context of the second half of the 19th century. The fact that Boltzmann was the man who did most to establish that there is a microscopic, atomic structure underlying macroscopic bodies is documented, as is Boltzmann's influence on modern physics, especially through the work of Planck on light quanta and of Einstein on Brownian motion. Boltzmann was the centre of a scientific upheaval, and he has been proved right on many crucial issues. He anticipated Kuhn's theory of scientific revolutions and proposed a theory of knowledge based on Darwin. His basic results, when properly understood, can also be stated as mathematical theorems. Some of these have been proved: others are still at the level of likely but unproven conjectures. The main text of this biography is written almost entirely without equations. Mathematical appendices deepen knowledge of some technical aspects of the subject.