How do acids conduct electricity with H+ ions?

I know that ions can conduct electricity, but H+ ions has no electrons! How can it conduct electricity then. Like if we were talking about Cl- or Na+ then these ions do have electrons. 


But how can something that has no electrons be used to conduct electricity?


Also, do acids conduct electricity only in water and not on their own?


And, do acids also stop conducting electricity after all the ions have been deionized? (like NaCl aqueous solution)




Acids by themselves don't necessarily conduct electricity.
An example is boron tribromide, a Lewis acid.
What makes acid (aqueous) solutions good conductors, is the capability of the acid of interacting with water molecules, by creating positive and negative charged ions.


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