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                   Oxidation does not necessarily 
                    require the outright removal of electrons, as we have said. 
                    Oxidation-reduction reactions in which electrons are actually 
                    moved from one substance to another are especially useful, 
                    since if the donor and recipient can be isolated, and the 
                    electrons made to flow through an external wire or circuit, 
                    some of the free energy of the oxidation-reduction process 
                    can be harnessed to do useful 
                    work. As an example, zinc metal has less of an affinity for 
                    its 4 outer electrons than metallic copper does. In a competition 
                    between Cu2+ and Zn2+ ions for electrons, 
                    copper ions will win. The reaction 
                     
                   is highly spontaneous, 
                    with a standard free energy change of -50.7 kcal per mol. 
                    If we dip a zinc strip into a copper sulfate solution, as 
                    shown opposite, the zinc will be eaten away, a spongy layer 
                    of metallic copper will plate out on the zinc strip, and the 
                    deep blue color of copper sulfate will gradually fade. (Zinc 
                    sulfate, which is formed, is colorless.) In contrast, if we 
                    immerse a copper strip in a zinc sulfate solution, no reaction 
                    will occur because the reverse reaction is highly nonspontaneous, 
                    with a +50.7 kcal per mol free energy 
                    barrier to surmount. 
                   This spontaneous transfer of electrons from zinc to copper 
                    is not useful because the free energy released is dissipated 
                    as heat. It is analogous to burning a spoonful of sugar with 
                    a match instead of eating it and converting the free energy 
                    of oxidation into useful muscle work. If some means could 
                    be found to separate the removal of electrons from zinc (oxidation) 
                    from the donation of electrons to copper ions (reduction), 
                    then the electrons might be made to do something useful along 
                    the way.  
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