Converting Moles to Number of Entities

Converting a mole amount to a count of entities means multiplying the mole amount by Avogadro's number, letting the mole units cancel against the per-mole unit carried by the constant itself.

A sample of potassium contains 0.12 mol of atoms. Multiplying 0.12 mol by 6.02214076×10^23 per mole gives roughly 7.2×10^22 potassium atoms in that sample. Chained with the mass-to-mole step at Chem 0376, a measured mass of any substance can be carried all the way to a literal atom count in two short multiplication-and-division steps, one after the other. The same chain works in reverse: dividing a known entity count by Avogadro's number recovers the mole amount that produced it, which then converts back to mass.