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4.5 Impact Categories, Impact Indicators and Characterisation Factors  221

                The quantification of CED has been thoroughly discussed in the chapter on
               inventory (Section 3.2.2).
                There is a relation between CED and the cumulative exergy demand (CExD). 108)
               Whereas CED designates the overall primary energy per functional unit of a
               product system, exergy 109)  designates the available amount of energy and is thus
               related to the ‘free energy’ or ‘free enthalpy’ of physical chemistry. The laws of
               thermodynamics imply that even though the total energy of a system cannot be
               lost (first principle), heat may be produced or lost during the transformation of one
               form of energy into the other (e.g. frictional heat) that can no longer be employed
               for work in a physical sense. Exergy quantifies that part of the total energy that is
               available for work. As such it is the opposite of entropy, which quantifies a tendency
               of the system to be transformed into a non-ordered type and is not usable for work,
               (second principle, see Equation 4.7). A small variation of enthalpy dH (energy
               at constant volume), for example, within a chemical reaction is composed of a
               variation of free enthalpy (dG) at temperature T plus a further amount of energy
                                      T
               TdS where dS signifies the variation of entropy:
                    dH =(dG) + TdS                                         (4.7)
                            T
                 H (J) enthalpy
                 G (J) free enthalpy
                     −1
                 S (J K ) entropy
                 T (K) temperature
               With each energy conversion, the free energy, respectively, the free enthalpy
               constitutes the maximum that can be converted into work. In technology this
               thermodynamic figure is called exergy and can also be applied to non-energetic
               resources, above all, minerals and ores. 110)  Thus, a loss of resources by dispersion
               without actual consumption can be integrated into a uniform figure. Exergy
               can be assigned to all raw materials that can prove their applicability in LCA
               and databases. 111)  Like most thermodynamic figures, exergy cannot be computed
               absolutely but needs a reference compound, which usually corresponds to the lowest
               state of energy of the element, for each material. The exergy then corresponds to
               the work necessary for the formation of the desired substance – mineral, fresh
               water, and so on, – or the maximum work generated in the case of the reverse
               reaction. Reference compounds and – energies obtain an exergy value of zero. Such
               assignments cannot be made without certain arbitrariness, and therefore, require
               some convention to be followed. It can be ‘de facto’ provided in the form of a large
               table, which is inserted into a database. 112)  Furthermore, assumptions concerning
               their composition must be made for ores and something similar is also valid for
               chemical substances, which do not represent pure compounds, but mixtures.


               108) Finnveden and ¨ Ostlund (1997), Dewulf and Van Langenhove (2002), De Meester et al. (2006),
                  B¨ osch et al. (2007), Koroneos, Rovas and Dompros (2011) and Koroneos et al. (2011).
               109) Szargut, Morris and Steward (1988) and Szargut (2005).
               110) Finnveden and ¨ Ostlund (1997), Szargut (2005) and B¨ osch et al. (2007).
               111) B¨ osch et al. (2007).
               112) Szargut (2005), B¨ osch et al. (2007) and Koroneos et al. (2011).
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