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Before this: Chemical formulas

The mole

Atoms are far too small to count one at a time, so chemists count them in a very large group called the mole (mol).

1 mol = 6.022 × 1023 particles

This number is Avogadro’s number. A mole works like a dozen: a dozen eggs is 12 eggs, and a mole of atoms is 6.022 × 1023 atoms. The particles can be atoms, molecules, ions or formula units.

Worked example: moles to particles

How many molecules are in 2.50 mol of water?

2.50 mol × 6.022 × 1023 molecules/mol = 1.51 × 1024 molecules

Worked example: particles to moles

How many moles is 3.01 × 1023 atoms of copper?

3.01 × 1023 atoms ÷ 6.022 × 1023 atoms/mol = 0.500 mol

Common mistake

Forgetting that a mole of molecules contains more than a mole of atoms. One mole of H2O contains 2 mol of hydrogen atoms and 1 mol of oxygen atoms.

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Watch From moles to molecules
  1. Start with 2.50 mol of water.
  2. Each mole is 6.022 × 1023 molecules, so multiply: 1.51 × 10²⁴ molecules.

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Practice

1. How many atoms are in 3.00 mol of helium?

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2. How many moles is 1.204 × 1024 molecules of CO2?

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3. How many moles of oxygen atoms are in 2.0 mol of CO2?

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4. How many molecules are in 0.250 mol of O2?

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