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Moles from Mass and Molar Mass

Quick answer: Amount of substance n equals mass m divided by molar mass M: n = m/M. With m in grams and M in grams per mole, the result is in moles. Particle count is n times Avogadro's constant.

Worked example

Find the amount of CO₂ in 22 g, using C = 12 and O = 16 g/mol.

  1. M(CO₂) = 12 + 2×16 = 44 g/mol.
  2. n = 22/44 = 0.5 mol.
  3. Molecule count is approximately 0.5×6.022×10²³ = 3.011×10²³.

Check the result

Multiplying 0.5 mol by 44 g/mol returns 22 g.

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Common mistake to avoid

One mole of CO₂ molecules contains two moles of oxygen atoms. Distinguish molecules, atoms and ions, and use consistent mass units.

Try it yourself

1. Find moles in 18 g of water using M = 18 g/mol. 2. Find mass of 0.25 mol CO₂.

Answers and reasoning

1. 18/18 = 1 mol. 2. 0.25×44 = 11 g.

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