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I believe Avogadro's number can be applied to the amount of atoms, compunds, and formula units in a mole alike. To my knowledge, there has never been a scenario where the conversion between moles and formula units did not utilize Avogadro's number in some manner.
I was wondering the same thing, but as I was doing practice problems I noticed that you need to use Avogadro's number when you want your answer to be in atoms. This is useful when your units are moles, but you want it to be a certain amount of atoms or molecules.
Avogadro's number doesn't really have an assigned unit except for the fact moles can go into it. I think it's useful when you have a value already in moles and you want to convert it to something like atoms or formula units.
Formula units are the smallest units of an ionic compound. You usually find the formula units of an ionic compound from how many moles there are. Once you are in moles you are then able to convert into formula units using Avogadro's Number. I think for the most part Avogadro's Number will be l mole / 6.022 x 10^23 formula units since that's how many formula units are in 1 mole.
What is a formula unit in terms of physical things? Is it just a general name for a general unit? Or does it represent something tangible? I know what an atom, molecule, and ion is, however I do not think I can conceptually wrap my head around what an actual formula unit is or what quantity it exactly measures.
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