Hello!
An aqueous solution of a strong electrolyte would conduct electricity better than an aqueous solution of a weak electrolyte because more ions are in solution with a strong electrolyte.
A strong electrolyte is a solid that dissociates completely in water. That means that the entirety of the moles of the electrolyte that are dissolved would be in solution as ions. More ions in solution mean more electrical conduction and a strong electrolyte, opposed to a weak electrolyte, will have more ions in solution, and hence more conductivity than the solution of a weak electrolyte.
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