Page 9 - Modern physical chemistry
P. 9

x                                  Contents

               5.11  Key Thennodynamic Relations  96   7.17  The Activity Coefficient Concept  163
               5.12  The Chemical Potential  99        7.18  Helmholtz Energy of Reaction  164
               5.13  Concentration Gradients  100           Questions  165
               5.14  General Direction for a Process  102   Problems  166
               5.15  A Fourth Law  103                      References  168
                   Questions  103
                   Problems  104                      Chapter 8
                   References  105                    Equilibria in Condensed Phases  171
                                                        8.1  The Chemical Potential Revisited  171
             Chapter 6                                  8.2  Useful Equilibrium Expressions  172
             Relationships between Phases  109          8.3  Conditions Determining Equilibria  176
               6.1  Intensive Variables  109            8.4  Key Thennodynamic Considerations  183
               6.2  The Gibbs Phase Rule  109           8.5  Average Electric Atmosphere about
               6.3  Equilibrium States for Water  110         an Ion  185
               6.4  Solutions  111                      8.6  An Integral Fonn of Coulomb's Law  185
               6.5  Aspects of Multicomponent Phase     8.7  Application of Gauss's Theorem to the
                      Diagrams  113                           Ionic Atmosphere  187
               6.6  Singularities Separating Phases  115   8.8  Variation of Electric Potential in an Ionic
               6.7  The Clapeyron and Ehrenfest               Atmosphere  188
                      Equations  120                    8.9  Free Energy of the Ionic Atmosphere  189
               6.8  Variation of Vapor Pressure with   8.10  Debye-Htickel Equations  190
                      Temperature  123                 8.11  Equilibria among Phases Revisited  196
               6.9  Variation of Vapor Pressure with Total   8.12  Determining Ionic Activities  199
                      Pressure  124                    8.13  Limitations of the Debye-Htickel
               6.10  Variation of Vapor Pressure with         Treatment  200
                      Concentration  125                    Questions  201
               6.11  The Mole-Fraction Activity  128        Problems  201
               6.12  Concentration Units  128               References  203
               6.13  Elevation of the Boiling Point  129
               6.14  Depression of the Freezing Point  131   Chapter 9
               6.15  Penneability of Membranes  133   Electrochemistry  207
               6.16  Osmotic Pressure  134              9.1  Definitions and Units  207
              6.17  Equilibria among Phases  135        9.2  Electrode Reactions  208
                   Questions  136                       9.3  Electrolyte Transference  209
                   Problems  136                        9.4  Moving Ion Clouds and Boundaries  212
                   References  139                      9.5  Ohm's Law  214
                                                        9.6  Equivalent Conductance  216
             Chapter 7                                  9.7  Determining Solubilities and Degrees of
             Relationships among Reactants  148               Ionization  219
               7.1  Introduction  143                   9.8  Variation of Ion Conductance with
               7.2  Conventions  143                          ViSCOSity  220
               7.3  Measuring Reaction Heats  144       9.9  Cell Conventions  222
               7.4  Relating the Isobaric and Isochoric   9.10  Measuring and Allocating Voltages  224
                     Reaction Heats  145               9.11  Cell Energetics  225
               7.5  Variation in Heat of Reaction with   9.12  Cell with Transference  228
                     Temperature  146                  9.13  Reference Cells and Electrodes  229
               7.6  Calorimetric Entropy  148          9.14  Measuring the pH of Solutions  230
               7.7  Correcting the Calorimetric Entropy to the   9.15  Overpotential  232
                     Ideal Gas State  149              9.16  Electrode Potentials for Other Solvents  233
               7.8  Correcting the Calorimetric Entropy for   9.17  Further Cell Thennodynamics  234
                     Frozen-in Disorder  150                Questions  235
               7.9  Key Thennodynamic Properties  151       Problems  236
              7.10  Partial Molar Gibbs Energy  153         References  238
              7.11  Gibbs Energy of Reaction  154
              7.12  Energetic Conditions on Equilibria  156   Chapter 10
              7.13  Equilibria in Ideal Gaseous Phases  157   Basic Quantum Mechanics  241
              7.14  Heterogeneous Gas Equilibria  161   10.1  The Statistical Nature of the Path of a
              7.15  Variation of Equilibrium Constants with   Mass Element or Particle  241
                     Temperature  162                  10.2  Representing a Constituent State  242
              7.16  Variation of Equilibrium Constants with   10.3  Introducing the Translational
                     Pressure  163                            Symmetries  243
   4   5   6   7   8   9   10   11   12   13   14