Thermodynamics and Chemistry
Howard DeVoe
Thermodynamics and Chemistry
Free
Description
Contents
Reviews
Language
English
ISBN
Unknown
Cover
Title page
Copyright page
Short Contents
Contents
Biographical Sketches
Preface to the Second Edition
From the Preface to the First Edition
Epigraphs
1 Introduction
1.1 Units
1.1.1 Amount of substance and amount
1.2 Quantity Calculus
1.3 Dimensional Analysis
Problem
2 Systems and Their Properties
2.1 The System, Surroundings, and Boundary
2.1.1 Extensive and intensive properties
2.2 Phases and Physical States of Matter
2.2.1 Physical states of matter
2.2.2 Phase coexistence and phase transitions
2.2.3 Fluids
2.2.4 The equation of state of a fluid
2.2.5 Virial equations of state for pure gases
2.2.6 Solids
2.3 Some Basic Properties and Their Measurement
2.3.1 Mass
2.3.2 Volume
2.3.3 Density
2.3.4 Pressure
2.3.5 Temperature
2.4 The State of the System
2.4.1 State functions and independent variables
2.4.2 An example: state functions of a mixture
2.4.3 More about independent variables
2.4.4 Equilibrium states
2.4.5 Steady states
2.5 Processes and Paths
2.6 The Energy of the System
2.6.1 Energy and reference frames
2.6.2 Internal energy
Problems
3 The First Law
3.1 Heat, Work, and the First Law
3.1.1 The concept of thermodynamic work
3.1.2 Work coefficients and work coordinates
3.1.3 Heat and work as path functions
3.1.4 Heat and heating
3.1.5 Heat capacity
3.1.6 Thermal energy
3.2 Spontaneous, Reversible, and Irreversible Processes
3.2.1 Reversible processes
3.2.2 Irreversible processes
3.2.3 Purely mechanical processes
3.3 Heat Transfer
3.3.1 Heating and cooling
3.3.2 Spontaneous phase transitions
3.4 Deformation Work
3.4.1 Gas in a cylinder-and-piston device
3.4.2 Expansion work of a gas
3.4.3 Expansion work of an isotropic phase
3.4.4 Generalities
3.5 Applications of Expansion Work
3.5.1 The internal energy of an ideal gas
3.5.2 Reversible isothermal expansion of an ideal gas
3.5.3 Reversible adiabatic expansion of an ideal gas
3.5.4 Indicator diagrams
3.5.5 Spontaneous adiabatic expansion or compression
3.5.6 Free expansion of a gas into a vacuum
3.6 Work in a Gravitational Field
3.7 Shaft Work
3.7.1 Stirring work
3.7.2 The Joule paddle wheel
3.8 Electrical Work
3.8.1 Electrical work in a circuit
3.8.2 Electrical heating
3.8.3 Electrical work with a galvanic cell
3.9 Irreversible Work and Internal Friction
3.10 Reversible and Irreversible Processes: Generalities
Problems
4 The Second Law
4.1 Types of Processes
4.2 Statements of the Second Law
4.3 Concepts Developed with Carnot Engines
4.3.1 Carnot engines and Carnot cycles
4.3.2 The equivalence of the Clausius and Kelvin–Planck statements
4.3.3 The efficiency of a Carnot engine
4.3.4 Thermodynamic temperature
4.4 Derivation of the Mathematical Statement of the Second Law
4.4.1 The existence of the entropy function
4.4.2 Using reversible processes to define the entropy
4.4.3 Some properties of the entropy
4.5 Irreversible Processes
4.5.1 Irreversible adiabatic processes
4.5.2 Irreversible processes in general
4.6 Applications
4.6.1 Reversible heating
4.6.2 Reversible expansion of an ideal gas
4.6.3 Spontaneous changes in an isolated system
4.6.4 Internal heat flow in an isolated system
4.6.5 Free expansion of a gas
4.6.6 Adiabatic process with work
4.7 Summary
4.8 The Statistical Interpretation of Entropy
Problems
5 Thermodynamic Potentials
5.1 Total Differential of a Dependent Variable
5.2 Total Differential of the Internal Energy
5.3 Enthalpy, Helmholtz Energy, and Gibbs Energy
5.4 Closed Systems
5.5 Open Systems
5.6 Expressions for Heat Capacity
5.7 Surface Work
5.8 Criteria for Spontaneity
Problems
6 The Third Law and Cryogenics
6.1 The Zero of Entropy
6.2 Molar Entropies
6.2.1 Third-law molar entropies
6.2.2 Molar entropies from spectroscopic measurements
6.2.3 Residual entropy
6.3 Cryogenics
6.3.1 Joule–Thomson expansion
6.3.2 Magnetization
Problem
7 Pure Substances in Single Phases
7.1 Volume Properties
7.2 Internal Pressure
7.3 Thermal Properties
7.3.1 The relation between C(V,m) and C(p,m)
7.3.2 The measurement of heat capacities
7.3.3 Typical values
7.4 Heating at Constant Volume or Pressure
7.5 Partial Derivatives with Respect to T, p, and V
7.5.1 Tables of partial derivatives
7.5.2 The Joule–Thomson coefficient
7.6 Isothermal Pressure Changes
7.6.1 Ideal gases
7.6.2 Condensed phases
7.7 Standard States of Pure Substances
7.8 Chemical Potential and Fugacity
7.8.1 Gases
7.8.2 Liquids and solids
7.9 Standard Molar Quantities of a Gas
Problems
8 Phase Transitions and Equilibria of Pure Substances
8.1 Phase Equilibria
8.1.1 Equilibrium conditions
8.1.2 Equilibrium in a multiphase system
8.1.3 Simple derivation of equilibrium conditions
8.1.4 Tall column of gas in a gravitational field
8.1.5 The pressure in a liquid droplet
8.1.6 The number of independent variables
8.1.7 The Gibbs phase rule for a pure substance
8.2 Phase Diagrams of Pure Substances
8.2.1 Features of phase diagrams
8.2.2 Two-phase equilibrium
8.2.3 The critical point
8.2.4 The lever rule
8.2.5 Volume properties
8.3 Phase Transitions
8.3.1 Molar transition quantities
8.3.2 Calorimetric measurement of transition enthalpies
8.3.3 Standard molar transition quantities
8.4 Coexistence Curves
8.4.1 Chemical potential surfaces
8.4.2 The Clapeyron equation
8.4.3 The Clausius–Clapeyron equation
Problems
9 Mixtures
9.1 Composition Variables
9.1.1 Species and substances
9.1.2 Mixtures in general
9.1.3 Solutions
9.1.4 Binary solutions
9.1.5 The composition of a mixture
9.2 Partial Molar Quantities
9.2.1 Partial molar volume
9.2.2 The total differential of the volume in an open system
9.2.3 Evaluation of partial molar volumes in binary mixtures
9.2.4 General relations
9.2.5 Partial specific quantities
9.2.6 The chemical potential of a species in a mixture
9.2.7 Equilibrium conditions in a multiphase, multicomponent system
9.2.8 Relations involving partial molar quantities
9.3 Gas Mixtures
9.3.1 Partial pressure
9.3.2 The ideal gas mixture
9.3.3 Partial molar quantities in an ideal gas mixture
9.3.4 Real gas mixtures
9.4 Liquid and Solid Mixtures of Nonelectrolytes
9.4.1 Raoult's law
9.4.2 Ideal mixtures
9.4.3 Partial molar quantities in ideal mixtures
9.4.4 Henry's law
9.4.5 The ideal-dilute solution
9.4.6 Solvent behavior in the ideal-dilute solution
9.4.7 Partial molar quantities in an ideal-dilute solution
9.5 Activity Coefficients in Mixtures of Nonelectrolytes
9.5.1 Reference states and standard states
9.5.2 Ideal mixtures
9.5.3 Real mixtures
9.5.4 Nonideal dilute solutions
9.6 Evaluation of Activity Coefficients
9.6.1 Activity coefficients from gas fugacities
9.6.2 Activity coefficients from the Gibbs–Duhem equation
9.6.3 Activity coefficients from osmotic coefficients
9.6.4 Fugacity measurements
9.7 Activity of an Uncharged Species
9.7.1 Standard states
9.7.2 Activities and composition
9.7.3 Pressure factors and pressure
9.8 Mixtures in Gravitational and Centrifugal Fields
9.8.1 Gas mixture in a gravitational field
9.8.2 Liquid solution in a centrifuge cell
Problems
10 Electrolyte Solutions
10.1 Single-ion Quantities
10.2 Solution of a Symmetrical Electrolyte
10.3 Electrolytes in General
10.3.1 Solution of a single electrolyte
10.3.2 Multisolute solution
10.3.3 Incomplete dissociation
10.4 The Debye–Hückel Theory
10.5 Derivation of the Debye–Hückel Equation
10.6 Mean Ionic Activity Coefficients from Osmotic Coefficients
Problems
11 Reactions and Other Chemical Processes
11.1 Mixing Processes
11.1.1 Mixtures in general
11.1.2 Ideal mixtures
11.1.3 Excess quantities
11.1.4 The entropy change to form an ideal gas mixture
11.1.5 Molecular model of a liquid mixture
11.1.6 Phase separation of a liquid mixture
11.2 The Advancement and Molar Reaction Quantities
11.2.1 An example: ammonia synthesis
11.2.2 Molar reaction quantities in general
11.2.3 Standard molar reaction quantities
11.3 Molar Reaction Enthalpy
11.3.1 Molar reaction enthalpy and heat
11.3.2 Standard molar enthalpies of reaction and formation
11.3.3 Molar reaction heat capacity
11.3.4 Effect of temperature on reaction enthalpy
11.4 Enthalpies of Solution and Dilution
11.4.1 Molar enthalpy of solution
11.4.2 Enthalpy of dilution
11.4.3 Molar enthalpies of solute formation
11.4.4 Evaluation of relative partial molar enthalpies
11.5 Reaction Calorimetry
11.5.1 The constant-pressure reaction calorimeter
11.5.2 The bomb calorimeter
11.5.3 Other calorimeters
11.6 Adiabatic Flame Temperature
11.7 Gibbs Energy and Reaction Equilibrium
11.7.1 The molar reaction Gibbs energy
11.7.2 Spontaneity and reaction equilibrium
11.7.3 General derivation
11.7.4 Pure phases
11.7.5 Reactions involving mixtures
11.7.6 Reaction in an ideal gas mixture
11.8 The Thermodynamic Equilibrium Constant
11.8.1 Activities and the definition of K
11.8.2 Reaction in a gas phase
11.8.3 Reaction in solution
11.8.4 Evaluation of K
11.9 Effects of Temperature and Pressure on Equilibrium Position
Problems
12 Equilibrium Conditions in Multicomponent Systems
12.1 Effects of Temperature
12.1.1 Variation of mu(i)/T with temperature
12.1.2 Variation of mu(i)o/T with temperature
12.1.3 Variation of ln K with temperature
12.2 Solvent Chemical Potentials from Phase Equilibria
12.2.1 Freezing-point measurements
12.2.2 Osmotic-pressure measurements
12.3 Binary Mixture in Equilibrium with a Pure Phase
12.4 Colligative Properties of a Dilute Solution
12.4.1 Freezing-point depression
12.4.2 Boiling-point elevation
12.4.3 Vapor-pressure lowering
12.4.4 Osmotic pressure
12.5 Solid–Liquid Equilibria
12.5.1 Freezing points of ideal binary liquid mixtures
12.5.2 Solubility of a solid nonelectrolyte
12.5.3 Ideal solubility of a solid
12.5.4 Solid compound of mixture components
12.5.5 Solubility of a solid electrolyte
12.6 Liquid–Liquid Equilibria
12.6.1 Miscibility in binary liquid systems
12.6.2 Solubility of one liquid in another
12.6.3 Solute distribution between two partially-miscible solvents
12.7 Membrane Equilibria
12.7.1 Osmotic membrane equilibrium
12.7.2 Equilibrium dialysis
12.7.3 Donnan membrane equilibrium
12.8 Liquid–Gas Equilibria
12.8.1 Effect of liquid pressure on gas fugacity
12.8.2 Effect of liquid composition on gas fugacities
12.8.3 The Duhem–Margules equation
12.8.4 Gas solubility
12.8.5 Effect of temperature and pressure on Henry's law constants
12.9 Reaction Equilibria
12.10 Evaluation of Standard Molar Quantities
Problems
13 The Phase Rule and Phase Diagrams
13.1 The Gibbs Phase Rule for Multicomponent Systems
13.1.1 Degrees of freedom
13.1.2 Species approach to the phase rule
13.1.3 Components approach to the phase rule
13.1.4 Examples
13.2 Phase Diagrams: Binary Systems
13.2.1 Generalities
13.2.2 Solid–liquid systems
13.2.3 Partially-miscible liquids
13.2.4 Liquid–gas systems with ideal liquid mixtures
13.2.5 Liquid–gas systems with nonideal liquid mixtures
13.2.6 Solid–gas systems
13.2.7 Systems at high pressure
13.3 Phase Diagrams: Ternary Systems
13.3.1 Three liquids
13.3.2 Two solids and a solvent
Problems
14 Galvanic Cells
14.1 Cell Diagrams and Cell Reactions
14.1.1 Elements of a galvanic cell
14.1.2 Cell diagrams
14.1.3 Electrode reactions and the cell reaction
14.1.4 Advancement and charge
14.2 Electric Potentials in the Cell
14.2.1 Cell potential
14.2.2 Measuring the equilibrium cell potential
14.2.3 Interfacial potential differences
14.3 Molar Reaction Quantities of the Cell Reaction
14.3.1 Relation between molar reaction Gibbs energy and equilibrium cell potential
14.3.2 Relation between molar reaction Gibbs energies of the cell and the direct reaction
14.3.3 Standard molar reaction quantities
14.4 The Nernst Equation
14.5 Evaluation of the Standard Cell Potential
14.6 Standard Electrode Potentials
Problems
A Definitions of the SI Base Units
B Physical Constants
C Symbols for Physical Quantities
D Miscellaneous Abbreviations and Symbols
D.1 Physical States
D.2 Subscripts for Chemical Processes
D.3 Superscripts
E Calculus Review
E.1 Derivatives
E.2 Partial Derivatives
E.3 Integrals
E.4 Line Integrals
F Mathematical Properties of State Functions
F.1 Differentials
F.2 Total Differential
F.3 Integration of a Total Differential
F.4 Legendre Transforms
G Forces, Energy, and Work
G.1 Forces between Particles
G.2 The System and Surroundings
G.3 System Energy Change
G.4 Macroscopic Work
G.5 The Work Done on the System and Surroundings
G.6 The Local Frame and Internal Energy
G.7 Nonrotating Local Frame
G.8 Center-of-mass Local Frame
G.9 Rotating Local Frame
G.10 Earth-Fixed Reference Frame
H Standard Molar Thermodynamic Properties
I Answers to Selected Problems
Bibliography
Index
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