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The n in the Nernst equation stands for the number of electrons transferred in the balanced reaction. The book says that the units of n is not moles and is just a unit less number. Then when you solve of delta G you get a value in J/mol since the moles don’t cancel out in your calculation.
Balancing the redox half reactions will give you n for the nernst equation, since you will balance the charges to determine how many electrons to add to both sides. There are no moles in the equation aside from the concentrations (mol.L-1) or in the Gas constant R
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