What are the empirical and molecular formulas for a compound related?

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The empirical formula says how many moles of each element are in the compound, but determined experimentally.

The molecular formula is the formula that indicates which elements make up the compound and how many there are of each element.

So to answer your question An empirical formula of a compound is the simplest whole-number ratio of atoms of the elements in the compound. The molecular formula of a compound is either the same as its experimentally determined empirical formula, or it is a simple whole-number multiple of it.