This book is part of a set of books which offers advanced students successive characterization tool phases, the study of all types of phase (liquid, gas and solid, pure or multi-component), process engineering, chemical and electrochemical equilibria, and the properties of surfaces and phases of small sizes. Macroscopic and microscopic models are in turn covered with a constant correlation between the two scales. Particular attention has been given to the rigor of mathematical developments. This first volume in the set is devoted to macroscopic and microscopic modeling tools and their application to gases. The title is split into two parts. The first part introduces phase modeling tools and covers the fundamental steps in the modeling of a phase, constructing potential characteristic functions. The microscopic approach is then presented and the tools used in the microscopic modeling of phases through the use of statistics of molecular objects and microcanonical and canonical spaces are discussed. The second part is dedicated to the modeling of gaseous phases. The author covers macroscopic and microscopic modeling of pure gases using state equations, generalized compressibility charts and the concept of fugacity. Microscopic modeling is an initial application of statistical thermodynamics by calculating the second virial coefficient. Finally, the book concludes with a description of the models of gaseous mixtures, macroscopic and microscopic. Mixed models from models of condensed solutions and state equations are also covered. The appendices give an introduction to the general methods used in the text and offer additional mathematical tools and some data.

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