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What are some formulas for electrolysis?

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What are some formulas for electrolysis?

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    During the electrolysis of water, electricity is passed through water, which then separates into its elemental components of oxygen and hydrogen. Since pure water does not conduct electricity well enough to allow electrolysis to occur a reasonable rate, a catalyst is needed to speed up the reaction.  In this experiment, sodium carbonate in solution will be used to increase the rate of the reaction.  The sodium carbonate ionizes in water, much like NaCl, making the solution an electrolyte.

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