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Classical and Statistical Thermodynamics

ISBN-10: 0137792085
ISBN-13: 9780137792085
Edition: 2001
Authors: Ashley H. Carter
List price: $193.00
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Description: This book provides a solid introduction to the classical and statistical theories of thermodynamics while assuming no background beyond general physics and advanced calculus. Though an acquaintance with probability and statistics is helpful, it is  More...

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Book details

List price: $193.00
Copyright year: 2001
Publisher: Pearson Education
Publication date: 5/9/2000
Binding: Paperback
Pages: 432
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.496
Language: English

This book provides a solid introduction to the classical and statistical theories of thermodynamics while assuming no background beyond general physics and advanced calculus. Though an acquaintance with probability and statistics is helpful, it is not necessary. Providing a thorough, yet concise treatment of the phenomenological basis of thermal physics followed by a presentation of the statistical theory, this book presupposes no exposure to statistics or quantum mechanics. It covers several important topics, including a mathematically sound presentation of classical thermodynamics; the kinetic theory of gases including transport processes; and thorough, modern treatment of the thermodynamics of magnetism. It includes up-to-date examples of applications of the statistical theory, such as Bose-Einstein condensation, population inversions, and white dwarf stars. And, it also includes a chapter on the connection between thermodynamics and information theory. Standard International units are used throughout. An important reference book for every professional whose work requires and understanding of thermodynamics: from engineers to industrial designers. ÿ

Preface
The Nature of Thermodynamics
What is thermodynamics?
Definitions
The kilomole
Limits of the continuum
More definitions
Units
Temperature and the zeroth law of thermodynamics
Temperature scales
Problems
Equations of State
Introduction
Equation of state of an ideal gas
Van der Waals' equation for a real gas
P-v-T surfaces for real substances
Expansivity and compressibility
An application
Problems
The First Law of Thermodynamics
Configuration work
Dissipative work
Adiabatic work and internal energy
Heat
Units of heat
The mechanical equivalent of heat
Summary of the first law
Some calculations of work
Problems
Applications of the First Law
Heat capacity
Mayer's equation
Enthalpy and heats of transformation
Relationships involving enthalpy
Comparison of u and h
Work done in an adiabatic process
Problems
Consequences of the First Law
The Gay-Lussac-Joule experiment
The Joule-Thomson experiment
Heat engines and the Carnot cycle
Problems
The Second Law of Thermodynamics
Introduction
The mathematical concept of entropy
Irreversible processes
Carnot's theorem
The Clausius inequality and the second law
Entropy and available energy
Absolute temperature
Combined first and second laws
Problems
Applications of the Second Law
Entropy changes in reversible processes
Temperature-entropy diagrams
Entropy change of the surroundings for a reversible process
Entropy change for an ideal gas
The Tds equations
Entropy change in irreversible processes
Free expansion of an ideal gas
Entropy change for a liquid or solid
Problems
Thermodynamic Potentials
Introduction
The Legendre transformation
Definition of the thermodynamic potentials
The Maxwell relations
The Helmholtz function
The Gibbs function
Application of the Gibbs function to phase transitions
An application of the Maxwell relations
Conditions of stable equilibrium
Problems
The Chemical Potential and Open Systems
The chemical potential
Phase equilibrium
The Gibbs phase rule
Chemical reactions
Mixing processes
Problems
The Third Law of Thermodynamics
Statements of the third law
Methods of cooling
Equivalence of the statements
Consequences of the third law
Problems
The Kinetic Theory of Gases
Basic assumptions
Molecular flux
Gas pressure and the ideal gas law
Equipartition of energy
Specific heat capacity of an ideal gas
Distribution of molecular speeds
Mean free path and collision frequency
Effusion
Transport processes
Problems
Statistical Thermodynamics
Introduction
Coin-tossing experiment
Assembly of distinguishable particles
Thermodynamic probability and entropy
Quantum states and energy levels
Density of quantum states
Problems
Classical and Quantum Statistics
Boltzmann statistics
The method of Lagrange multipliers
The Boltzmann distribution
The Fermi-Dirac distribution
The Bose-Einstein distribution
Dilute gases and the Maxwell-Boltzmann distribution
The connection between classical and statistical thermodynamics
Comparison of the distributions
Alternative statistical models
Problems
The Classical Statistical Treatment of an Ideal Gas
Thermodynamic properties from the partition function
Partition function for a gas
Properties of a monatomic ideal gas
Applicability of the Maxwell-Boltzmann distribution
Distribution of molecular speeds
Equipartition of energy
Entropy change of mixing revisited
Maxwell's demon
Problems
The Heat Capacity of a Diatomic Gas
Introduction
The quantized linear oscillator
Vibrational modes of diatomic molecules
Rotational modes of diatomic molecules
Electronic excitation
The total heat capacity
Problems
The Heat Capacity of a Solid
Introduction
Einstein's theory of the heat capacity of a solid
Debye's theory of the heat capacity of a solid
Problems
The Thermodynamics of Magnetism
Introduction
Paramagnetism
Properties of a spin-1/2 paramagnet
Adiabatic demagnetization
Negative temperature
Ferromagnetism
Problems
Bose-Einstein Gases
Blackbody radiation
Properties of a photon gas
Bose-Einstein condensation
Properties of a boson gas
Application to liquid helium
Problems
Fermi-Dirac Gases
The Fermi energy
The calculation of [mu](T)
Free electrons in a metal
Properties of a fermion gas
Application to white dwarf stars
Problems
Information Theory
Introduction
Uncertainty and information
Unit of information
Maximum entropy
The connection to statistical thermodynamics
Information theory and the laws of thermodynamics
Maxwell's demon exorcised
Problems
Appendices
Review of Partial Differentiation
Partial derivatives
Exact and inexact differentials
Problems
Stirling's Approximation
Alternative Approach To Finding the Boltzmann Distribution
Various Integrals
Bibliography
Classical thermodynamics
Kinetic theory of gases
Statistical mechanics
Special topics
Answers to selected problems
Index

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