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DESIGN INFORMATION AND DATA
                            8.15. ENTHALPY OF REACTION AND ENTHALPY
                                               OF FORMATION                               339
                   Enthalpies of reaction (heats of reaction) for the reactions used in the production of
                   commercial chemicals can usually be found in the literature. Stephenson (1966) gives
                   values for most of the production processes he describes in his book.
                     Heats of reaction can be calculated from the heats of formation of the reactants
                   and products, as described in Chapter 3, Section 3.11. Values of the standard heats of
                   formation for the more common chemicals are given in various handbooks; see also
                   Appendix C. A useful source of data on heats of formation, and combustion, is the critical
                   review of the literature by Domalski (1972).
                     Benson has developed a detailed group contribution method for the estimation of heats
                   of formation; see Benson (1976) and Benson et al. (1968). He estimates the accuracy
                   of the method to be from š2.0 kJ/mol for simple compounds, to about š12 kJ/mol for
                   highly substituted compounds. Benson’s method, and other group contribution methods
                   for the estimation of heats of formation, are described by Reid et al. (1987).


                                     8.16. PHASE EQUILIBRIUM DATA
                   Phase equilibrium data are needed for the design of all separation processes that depend
                   on differences in concentration between phases.


                   8.16.1. Experimental data
                   Experimental data have been published for several thousand binary and many multicom-
                   ponent systems. Virtually all the published experimental data has been collected together in
                   the volumes comprising the DECHEMA vapour-liquid and liquid-liquid data collection,
                   DECHEMA (1977). The books by Chu et al. (1956), Hala et al. (1968, 1973), Hirata
                   et al. (1975) and Ohe (1989, 1990) are also useful sources.



                   8.16.2. Phase equilibria
                   The criterion for thermodynamic equilibrium between two phases of a multicomponent
                   mixture is that for every component, i:

                                                      v
                                                     f D f L                             8.28
                                                      i    i
                                                         L

                   where f is the vapour-phase fugacity and f the liquid-phase fugacity of component i:
                          i                              i

                                                    f D 
  i y i                         8.29
                                                     i
                   and
                                                    L    OL
                                                  f D f   i x i                          8.30
                                                    i    i
                   where 
 D total systems pressure
                          i D vapour fugacity coefficient
                         y i D concentration of component i in the vapour phase
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