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Oxalic acid is a conductor of electricity.  In water solution it exists as ions:  H⁺  and  (COO)₂²⁻  or oxalate ions.

Alternately,  H⁺ ions and  H(COO)₂⁻  ions also are formed.

So when DC current is passed the ions will carry the electric charge to the terminals of the connecting wire.  The ions will travel to the opposite sides of the oxalic acid solution.

But oxalic acid does not dissociate into ions completely.  Only partially.  So oxalic acid is a conductor but weaker than hydrogen chloride, or sulphuric acid.

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