AP Chemistry · Unit 1 · Reviewed representative lesson
Moles and Molar Mass
The mole connects a measurable sample to a count of microscopic entities. One mole contains exactly \(6.02214076\times10^{23}\) specified entities, while molar mass tells how many grams correspond to one mole of a substance.
Definition and Units
The amount \(n\) is measured in moles, sample mass \(m\) in grams, and molar mass \(M\) in grams per mole. The entity must be named: atoms, molecules, ions, or formula units are not interchangeable labels.
Here \(N\) is the number of specified entities and \(N_A=6.02214076\times10^{23}\,\mathrm{mol^{-1}}\).
Why the Conversion Works
Molar mass is a conversion factor. Dividing grams by grams per mole cancels grams and leaves moles. Multiplying moles by entities per mole then cancels moles and leaves a count of entities.
Worked Example
Question: Approximately how many water molecules are in \(18.0\,\mathrm g\) of \(\mathrm{H_2O}\), using \(M=18.0\,\mathrm{g\,mol^{-1}}\)?
Answer: The sample contains approximately \(6.02\times10^{23}\) water molecules.
Common Mistakes
- Multiplying by molar mass when the units require division.
- Reporting “particles” without naming the chemical entity.
- Using an element's atomic mass as the molar mass of an entire compound.
Key Takeaways
- Mass-to-mole conversion uses molar mass.
- Mole-to-entity conversion uses the exact Avogadro constant.
- Unit cancellation reveals whether the conversion direction is correct.
Use the quiz and practice tabs to convert compounds and ionic formula units while tracking significant figures.
Official curriculum reference: College Board AP Chemistry course page. The explanation and worked example are independently written for this study site.