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180  6 Lead Oxides

                      Fortunately, the kinetic parameters reduce the rates of these reactions so far that
                    the gradual self-discharge of the PbO 2 is such a slow reaction that it usually does
                    not affect the performance of the battery.

                    • Self-discharge by oxygen generation (Equation 6.25) occurs equivalent to a current
                      in the range of 0.5 mA/100 Ah, which means ∼0.4% of nominal capacity per
                      month (starting at higher values).
                    • Corrosion of the positive grid (Equation 6.28) occurs equivalent to about
                      1 mA/100 Ah at open-circuit voltage and intact passivation layer. It depends
                      on electrode potential, and is at minimum about 40–80 mV above the
                      PbSO 4 /PbO 2 equilibrium potential. The corrosion rate depends furthermore
                      to some extent on alloy composition and is increased with high-antimony
                      alloys.
                    • As already mentioned, hydrogen oxidation can be neglected.

                      Although the rate of these reactions is slow, according to its thermodynamic
                    situation the lead dioxide electrode is not stable. Since a similar situation applies
                    to the negative electrode, the lead–acid battery system as a whole is unstable and a
                    certain rate of water decomposition cannot be avoided.

                    6.3.4
                    Thermodynamic Data

                    The thermodynamic data for the substances employed in lead–acid batteries are
                    compiled in Table 6.4.



                                             ◦
                    Table 6.4  Standard values (T = 25 C) of the thermody-
                    namic data for the chemical compounds in the active mate-
                    rial of lead–acid batteries (cf. Ref. [5], p. 366). In older tables,
                    the energy often is given in calories: 1 cal = 4.187 J.

                    Substance   Enthalpy of formation,  Free enthalpy of formation,  Entropy,
                                                                                  −1
                                           −1
                                                               −1
                                   H 0,S  (kJ mol )    G 0,S  (kJ mol )  S 0,S  (J K −1  mol )
                    Pb                  0                   0                64.8
                    Pb 2+               1.67              –24.39             10.5
                    PbO (red)         –219.0             –199.0              66.5
                    PbO (yellow)      –217.3             –187.9              68.7
                    Pb 3 O 4          –718.4             –601.2             211
                    α-PbO 2           –265.8             –217.3              92.5
                    β-PbO 2           –276.7             –219.3              76.4
                    PbSO 4            –919.9             –813.2             149
                    H +                 0                   0                 0
                    H 2 O             –219.0             –237.2             189
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