Chemistry
Basic

Avogadro's Number

Number of particles from moles.

Formula

N=n×NAN = n \times N_A

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Variables

nMoles
N_A6.022×10²³

Example

1 mol = 6.022×10²³ particles

How it works

Avogadro's number tells you how many individual particles are in 1 mole of a substance. Because a mole is defined as a fixed counting unit, multiplying the number of moles by 6.022 × 10^23 converts a chemical amount into an actual particle count. This works for atoms, molecules, ions, or formula units, as long as you count the correct kind of particle.

When to use it

Use this formula when a question asks for the number of particles in a given amount of substance, such as atoms in iron, molecules in water, or ions in a salt. It is also useful when converting between moles and particle counts in stoichiometry and lab calculations.

Worked example, step by step

Find the number of molecules in 2.5 mol of carbon dioxide. N = n × N_A N = 2.5 × 6.022 × 10^23 N = 1.5055 × 10^24 molecules Rounded to 3 significant figures: N = 1.51 × 10^24 molecules

Common mistakes to avoid

  • Using grams instead of moles without converting first
  • Forgetting that N_A gives particles per mole, not per gram
  • Counting the wrong particle type, such as atoms instead of molecules

Did You Know?

Avogadro's number is so vast that one mole of sand grains would bury the entire United States meters deep.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026