What is Avogadro's Number?
Avogadro's number (6.022 × 10²³) is the number of atoms, molecules, or particles in one mole of any substance. It bridges the gap between tiny atomic particles and the grams we measure in the lab.
Avogadro's number is 6.022 × 10²³, the count of particles (atoms, molecules, ions) in exactly 1 mole. One mole is the SI unit for measuring amount of substance.
- •Incredibly tiny
- •~12 amu
- •Individual particle
- •Microscope invisible
- •6.022 × 10²³ atoms
- •Exactly 12 grams
- •Bulk substance
- •You can hold it
Step-by-step worked examples
How many atoms are in 1 mole of oxygen gas (O₂)?
1 mole of O₂ contains 6.022 × 10²³ molecules. Each O₂ molecule has 2 atoms. Total atoms = 6.022 × 10²³ × 2 = 12.044 × 10²³ atoms
What is the mass of 1 mole of carbon-12?
By definition, 1 mole of ¹²C = 12 g (exactly). This is why Avogadro's number = 6.022 × 10²³. Any element's molar mass (in g/mol) = its atomic mass (in amu).
How many moles are in 18 grams of water (H₂O)?
Molar mass of H₂O = 2(1) + 16 = 18 g/mol. Moles = mass / molar mass = 18 / 18 = 1 mole. This contains 6.022 × 10²³ water molecules.
Flashcards
Quick quiz
Q1.Avogadro's number equals…
Q2.How many atoms in 2 moles of neon (Ne)?
Q3.What concept does Avogadro's number bridge?
Q4.1 mole of carbon-12 has a mass of…
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Common mistakes
Thinking 1 mole = 1 gram. — Correct: 1 mole = the molar mass in grams (e.g., 1 mole of C = 12 g, 1 mole of O = 16 g).
Confusing Avogadro's number with molar mass. — Correct: Avogadro's number = 6.022 × 10²³ (particles/mole); molar mass = mass/mole (g/mol).
Assuming Avogadro's number only works for atoms. — Correct: It works for any particles: atoms, molecules, ions, electrons, photons, etc.
Rounding Avogadro's number to 6 × 10²³. — Correct: Use 6.022 × 10²³ for accuracy in real calculations.
FAQ
What is Avogadro's number exactly?
6.02214076 × 10²³ (commonly written as 6.022 × 10²³). It is the number of particles in one mole.
Why is Avogadro's number so large?
Atoms and molecules are incredibly tiny. We need a huge number to represent a measurable amount.
How do you use Avogadro's number in calculations?
Convert between moles and particles: moles × Nₐ = number of particles (or vice versa).
Is Avogadro's number a formula?
No, it is a constant. But it is a key part of mole calculations: n = N / Nₐ.




