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What is the Mole?

The mole is the SI base unit for the amount of a substance, linking the microscopic world of atoms and molecules to measurable, macroscopic quantities like grams. One mole contains exactly 6.022 × 10²³ particles — Avogadro's number.

Short answer

The number of moles (n) equals the mass of a substance (m) divided by its molar mass (M): n = m/M. Moles let chemists count particles by weighing them.

Moles of Water (M = 18 g/mol) at Different Masses
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x: Mass (g) · y: Amount (mol)
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Try it: interactive calculator

Amount of substance n
2mol
= 36/18
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Step-by-step worked examples

How many moles are in 36 g of water (M = 18 g/mol)?

n = m/M
n = 36/18
n = 2 mol

Find the mass of 0.5 mol of carbon dioxide, CO₂ (M = 44 g/mol).

n = m/M → m = n × M
m = 0.5 × 44
m = 22 g

How many moles are in 5.85 g of table salt, NaCl (M = 58.5 g/mol)?

n = m/M
n = 5.85/58.5
n = 0.1 mol
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Flashcards

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Quick quiz

Q1.How many moles are in 44 g of CO₂ (M = 44 g/mol)?

Correct answer: B. n = m/M = 44/44 = 1 mol.

Q2.What is the correct mole formula?

Correct answer: C. Moles equal mass divided by molar mass: n = m/M.

Q3.How many particles are in exactly 1 mole?

Correct answer: B. Avogadro's number is 6.022 × 10²³ particles per mole.

Q4.What is the mass of 3 mol of NaCl (M = 58.5 g/mol)?

Correct answer: D. m = n × M = 3 × 58.5 = 175.5 g.
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Common mistakes

Confusing molar mass with molecular mass units.Correct: Molar mass is measured in g/mol, while molecular mass (in amu) has the same numeric value but a different unit.

Forgetting to convert mass to grams before using the formula.Correct: Always convert to grams first — the formula n = m/M requires mass in grams.

Mixing up the formula direction (using M/m instead of m/M).Correct: Moles = mass ÷ molar mass, so it's always n = m/M, not M/m.

Assuming a mole is a mass unit.Correct: A mole is a COUNT of particles, not a mass — its mass depends on which substance you're counting.

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FAQ

What is the mole concept in chemistry?

The mole is the SI unit for amount of substance, representing exactly 6.022 × 10²³ particles (Avogadro's number).

What is the mole formula?

n = m/M, where n is the number of moles, m is mass in grams, and M is molar mass in g/mol.

How do you calculate the number of moles?

Divide the mass of the substance (in grams) by its molar mass (in g/mol): n = m/M.

What are examples of using the mole formula?

Finding moles in 36 g of water, or finding the mass of 0.5 mol of CO₂, are classic mole formula examples.

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