State that the mole, mol, is the unit of amount of substance and that one mole contains $6.02 imes 10^{23}$ particles, e.g. atoms, ions, molecules; this number is the Avogadro constant

Stoichiometry – The Mole and the Avogadro Constant

What is a Mole?

A mole (mol) is the unit that tells us how many particles we have. Think of it as a “big bag” that holds a specific number of items. Just like a bag of 12 marbles, a mole holds a fixed number of atoms, ions, or molecules.

The Avogadro Constant

The number of particles in one mole is called the Avogadro constant and is written as:

\$N_A = 6.02 \times 10^{23}\ \text{particles mol}^{-1}\$

That means if you have one mole of water molecules, you have \$6.02 \times 10^{23}\$ water molecules – a number so huge it’s hard to imagine!

Why This Number Matters

  • It lets us count atoms in a sample without using a microscope.
  • It connects the mass of a substance to the number of particles it contains.
  • It’s the key to converting between grams, moles, and particles in chemical equations.

A Quick Example

Suppose you have 18.02 g of water (H₂O). The molar mass of water is 18.02 g mol⁻¹, so:

\$n = \dfrac{18.02\ \text{g}}{18.02\ \text{g mol}^{-1}} = 1\ \text{mol}\$

That 1 mol of water contains \$6.02 \times 10^{23}\$ molecules – the same number as the Avogadro constant.

Exam Tip Box

Tip: When converting grams to moles, always divide by the molar mass. When converting moles to particles, multiply by \$6.02 \times 10^{23}\$.



Remember: Mass (g) ÷ Molar Mass (g mol⁻¹) = Moles (mol)

Moles (mol) × Avogadro Constant (particles mol⁻¹) = Particles (atoms/molecules)

Table: Common Molar Masses

CompoundFormulaMolar Mass (g mol⁻¹)
WaterH₂O18.02
Carbon DioxideCO₂44.01
Sodium ChlorideNaCl58.44

Quick Quiz!

  1. How many atoms are in 2 mol of carbon?
  2. What is the molar mass of NaCl?
  3. Convert 3.0 g of H₂O to moles.

Answer these before the next lesson to test your understanding! 🚀