Electrolysis of Aqueous Sodium Iodide

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PFuser1232
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According to my chemistry textbook, the I- ion is discharged at the anode. Yet, according to standard electrode potential values, the OH- ion should be discharged at the anode. Thoughts on this please?
 
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I asked my Chemistry teacher the same thing, she told me to revisit my GCSE textbook and according to those principles of electrolysis, the halide ion should be preferentially discharged. Just as you have said, according to the principles of SEP, the hydroxide ion should be discharged. When you get an answer, please let me know and I will do likewise.