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Mole Mountain

Count atoms by weighing them. Master the mole, the Avogadro constant and moles = mass / Mr, then use a balanced equation to find reacting masses.

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What you'll cover

Counting by weighing ⚛️

Atoms are far too small and too many to count one by one. Chemists get around this with the **mole**, a fixed, huge number of particles that we can weigh out on a balance. Master the mole and you can predict exactly how much of each chemical reacts.

The mole and Avogadro 🔢

One **mole** of any substance contains the same number of particles: the **Avogadro constant**, **6.02 x 10^23** particles per mole. So one mole of carbon atoms and one mole of water molecules both contain 6.02 x 10^23 particles, even though they weigh different amounts.

How many particles?

One mole of any substance contains how many particles (the Avogadro constant)?

  • 6.02 x 10^23
  • 1000
  • 100
  • 6.02 x 10^11

Relative formula mass 📊

The **relative formula mass (Mr)** of a substance is the total of the **relative atomic masses (Ar)** of all its atoms. For water, H2O: (2 x 1) + 16 = **18**. The molar mass is the Mr in grams, so one mole of water weighs 18 g.

Work out the Mr

An interactive activity.

The key equation 📐

The equation that unlocks everything is: **number of moles = mass / Mr** Rearranged, **mass = moles x Mr**. Keep the units straight: mass in grams, Mr with no units, moles in mol.

How many moles?

An interactive activity.

What is the mass?

An interactive activity.

Reacting masses 🔀

A **balanced equation** tells you the ratio in which substances react. The big numbers in front (the coefficients) are a **mole ratio**. For example, in N2 + 3H2 -> 2NH3, one mole of nitrogen reacts with three moles of hydrogen to make two moles of ammonia.

The reacting-mass method

An interactive activity.

Use the ratio

An interactive activity.

Match each quantity to how you find it

  • Number of moles
  • Mass
  • Mr of a compound
  • Avogadro constant
  • mass / Mr
  • moles x Mr
  • Add up the Ar of every atom
  • 6.02 x 10^23 per mole

Rearrange it

You know the number of moles and the Mr. How do you find the mass?

  • mass = moles x Mr
  • mass = moles / Mr
  • mass = Mr / moles
  • mass = moles + Mr

Mole summary

One mole contains 6.02 x 10^23 particles, the _____ constant. The number of moles = mass _____ Mr. To go the other way, mass = moles _____ Mr. In a balanced equation, the big numbers give the mole _____.

Avogadro divided by times ratio Newton added to minus mass