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@gbj_tester
I was just considering the mass of the energy, any open cell which exchanges atoms with the atmosphere is going to have a mass change orders of magnitude greater than that. There is no change in the number of electrons in a cell between charged and discharged, they are just distributed differently within the cell.
I'm not aware of any rechargeable chemistries which rely on atmospheric gases for operation, and primary cells which generate by atmospheric oxidisation gain mass as they discharge.