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The Mole Concept Explained – Avogadro’s Number and Moles in Chemistry (Cambridge O Level Chemistry 5070)

What Is the Mole Concept?

The mole is a fundamental concept in chemistry used to measure the amount of a substance.

Because atoms and molecules are extremely small, chemists use the mole to count very large numbers of particles.

One mole contains a fixed number of particles called Avogadro’s number.

Avogadro’s number is:

6.02 × 10²³ particles

These particles may be:

• Atoms
• Molecules
• Ions

The mole allows chemists to connect mass, number of particles, and chemical reactions.


What Is Avogadro’s Number?

Avogadro’s number is the number of particles present in one mole of a substance.

Avogadro’s number:

6.02 × 10²³

This means:

• 1 mole of carbon atoms contains 6.02 × 10²³ atoms
• 1 mole of oxygen molecules contains 6.02 × 10²³ molecules

This large number helps chemists measure extremely small particles in practical amounts.


The Mole Formula

The relationship between mass, moles, and molar mass is given by the formula:

Moles = Mass ÷ Molar Mass

Where:

Mass → measured in grams (g)
Molar mass → relative molecular or atomic mass in g/mol


Example 1 – Calculating Moles

Find the number of moles in 18 g of water (H₂O).

Relative molecular mass of water:

H₂O = 18

Using the formula:

Moles = Mass ÷ Molar Mass

Moles = 18 ÷ 18

Moles = 1 mole


Example 2 – Carbon Dioxide

Find the number of moles in 44 g of CO₂.

Relative molecular mass of CO₂ = 44

Moles = 44 ÷ 44

Moles = 1 mole


Number of Particles in a Mole

Using Avogadro’s number:

1 mole of any substance contains:

6.02 × 10²³ particles

Example:

1 mole of oxygen molecules contains:

6.02 × 10²³ O₂ molecules


Molar Gas Volume

At room temperature and pressure (r.t.p.), one mole of any gas occupies:

24 dm³

This rule helps chemists calculate gas volumes in reactions.

Example:

1 mole of oxygen gas occupies 24 dm³ at r.t.p.


Why the Mole Concept Is Important

The mole concept allows chemists to:

• Measure amounts of substances in reactions
• Calculate chemical quantities
• Determine number of particles
• Perform stoichiometry calculations

It is one of the most important topics in O Level Chemistry.


Exam Tip (5070)

Students are commonly asked to:

• Define the mole
• State Avogadro’s number
• Use the formula moles = mass ÷ molar mass

Example exam question:

Calculate the number of moles in 32 g of oxygen gas (O₂).

Relative molecular mass of O₂ = 32

Moles = 32 ÷ 32

Answer:

1 mole


Practice Question

Calculate the number of moles in 56 g of iron (Fe).

Relative atomic mass of iron = 56

Answer

Moles = Mass ÷ Molar Mass

Moles = 56 ÷ 56

Moles = 1 mole


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