Mendeleev · Chemistry pathway · level 2

The mole: counting the invisible

The mole links microscopic entities to measurable quantities. One mole contains exactly 6.02214076 × 10²³ elementary entities.

The essential idea

The mole links microscopic entities to measurable quantities. One mole contains exactly 6.02214076 × 10²³ elementary entities.

Example

A mole of water and a mole of iron contain the same number of entities, but not the same mass.

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Mini problem

How many entities are in 0.5 mol?

Show the solution

0.5 × 6.02214076 × 10²³ ≈ 3.011 × 10²³ entities.

Common mistake

Do not replace reasoning with a memorized rule. Always check geometry, units, coefficients or model assumptions.

Guided exercise

How many molecules are in 2.00 mol of water?

Show the detailed solution

N = n × Nₐ = 2.00 × 6.02214076 × 10²³ ≈ 1.204 × 10²⁴ molecules.

Avoid this

Always state what is being counted: molecules, atoms, ions or another entity.

Mini calculator

From moles to particle count

N = n × Nₐ, with Nₐ = 6.02214076 × 10²³ mol⁻¹.

Number of entities6.022 × 10²³