Avogadro's Number
Number of particles from moles.
Formula
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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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