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How to predict electrolysis of aqueous electrolytes?

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I keep hearing that epsom salts are good salts to electrolyze, because the sulfate ion is supposedly stable enough not to break down into sulfur or oxides thereof from the electricity.

 

However, something like the carbonate ion, in the context of carbonic acid, breaks down spontaneously; carbonic acid breaks down into carbon dioxide and water vapour without any electrical current at all needing to be applied.

 

Is there any table of known products of electrolysis, and/or handy rulebook for predicting them?

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