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How many moles of ions are there in .2 mol of lithium oxide?

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Strictly speaking, Li2O is a solid and in that form it is not ionized. To get ions from it, you must dissolve it in water, and that causes it to decompose.

Despite all that, they probably expect you to say that Li2O consists of 2 Li+ ions and one O-- ion. If you accept that premise, then 0.2 moles of Li2O containts 0.6 moles of ions.

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