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               CHAPTER
                     5                   Standard







                                         Thermodynamic


               CHAPTER OUTLINE
                                         Functions of
               5.1  Standard States of Pure
                    Substances
               5.2  Standard Enthalpy of  Reaction
                    Reaction
               5.3  Standard Enthalpy of
                    Formation

               5.4  Determination of Standard
                    Enthalpies of Formation   For the chemical reaction aA   bB ∆ cC   dD, we found the condition for reaction
                    and Reaction         equilibrium to be am   bm   cm   dm [Eq. (4.98)]. To effectively apply this con-
                                                          A
                                                                 B
                                                                             D
                                                                       C
                                         dition to reactions, we will need tables of thermodynamic properties (such as G, H,
               5.5  Temperature Dependence   and S) for individual substances. The main topic of this chapter is how one uses ex-
                    of Reaction Heats    perimental data to construct such tables. In these tables, the properties are for sub-
                                         stances in a certain state called the standard state, so this chapter begins by defining
               5.6  Use of a Spreadsheet to  the standard state (Sec. 5.1). From tables of standard-state thermodynamic properties,
                    Obtain a Polynomial Fit  one can calculate the changes in standard-state enthalpy, entropy, and Gibbs energy for
                                         chemical reactions. Chapters 6 and 11 show how equilibrium constants for reactions
               5.7  Conventional Entropies   can be calculated from such standard-state property changes.
                    and the Third Law
               5.8  Standard Gibbs Energy   5.1         STANDARD STATES OF PURE SUBSTANCES
                    of Reaction
                                         The standard state of a pure substance is defined as follows. For a pure solid or a pure
               5.9  Thermodynamics Tables  liquid, the standard state is defined as the state with pressure P   1 bar [Eq. (1.11)]
                                         and temperature T, where T is some temperature of interest. Thus for each value of T
               5.10  Estimation of       there is a single standard state for a pure substance. The symbol for a standard state is
                    Thermodynamic Properties
                                         a degree superscript (read as “naught,” “zero,” or “standard”), with the temperature
               5.11  The Unattainability of  written as a subscript. For example, the molar volume of a pure solid or liquid at 1 bar
                    Absolute Zero        and 200 K is symbolized by V° m,200 , where the degree superscript indicates the standard
                                         pressure of 1 bar and 200 stands for 200 K. For a pure gas, the standard state at tem-
               5.12  Summary             perature T is chosen as the state where P   1 bar and the gas behaves as an ideal gas.
                                         Since real gases do not behave ideally at 1 bar, the standard state of a pure gas is a fic-
                                         titious state. Calculation of properties of the gas in the fictitious standard state from
                                         properties of the real gas is discussed in Sec. 5.4. Summarizing, the standard states for
                                         pure substances are:
                                         Solid or liquid:           P   1 bar, T
                                                                                                            (5.1)*
                                         Gas:                         P   1 bar, T, gas ideal
                                             The standard-state pressure is denoted by P°:
                                                                        P°   1 bar                          (5.2)*
                                             Standard states for components of solutions are discussed in Chapters 9 and 10.
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