You're trying to change the chemical properties of the spoon, the foil or both. Or just polishing the silver to a mirror like finish. Add some salt and vinegar to speed it up.
This post was edited by O-uknow at January 15, 2017 12:36 PM MST
That is a demonstration of ion exchange for a chemistry class. It is not useful for polishing silver because the silver is redeposited as a fine powder. The piece still has to be polished to restore the shine.