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Given the metal and the solution that you are observing, you form a balanced chemical equation using the half-reactions and their E° values. Once you calculate the E° value for the balance chemical equation, you get a value that is either positive or negative. If E° is negative, then ΔG is positive, and the reaction is not favorable. Therefore, the reaction WILL NOT result in the solution dissolving the metal. If E° is positive, then ΔG is negative, and the reaction is favorable. Therefore, the reaction WILL result in the solution dissolving the metal.
You will want to balance the equation with the solid metal on the reactants side and the aqueous dissociated ions on the product side. If the formation of the ions is favorable, the metal will dissolve in the solution.
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