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This cheat sheet covers the main pathways students use to convert between mass, moles, particles, gas volume, and amounts in chemical equations. Mole conversions are essential because chemistry problems often give information in one unit and ask for another. A clear roadmap helps students choose the correct conversion factor without guessing.

It is especially useful for stoichiometry, lab calculations, and balancing equation problems.

The mole is the central unit in the roadmap, so most conversions pass through moles first. Molar mass converts between grams and moles, Avogadro's number converts between particles and moles, and molar volume converts between gas volume and moles at STP. Balanced chemical equations provide mole ratios between reactants and products.

Careful unit cancellation is the key to setting up every conversion correctly.

Key Facts

  • The mole is a counting unit, and 1 mol=6.022×10231\text{ mol} = 6.022 \times 10^{23} particles.
  • Molar mass is found from the periodic table and is measured in g/mol\text{g/mol}.
  • To convert grams to moles, use mol=gramsmolar mass\text{mol} = \frac{\text{grams}}{\text{molar mass}}.
  • To convert moles to grams, use grams=mol×molar mass\text{grams} = \text{mol} \times \text{molar mass}.
  • To convert particles to moles, use mol=particles6.022×1023\text{mol} = \frac{\text{particles}}{6.022 \times 10^{23}}.
  • To convert moles to particles, use particles=mol×6.022×1023\text{particles} = \text{mol} \times 6.022 \times 10^{23}.
  • At STP, 1 mol1\text{ mol} of any ideal gas occupies 22.4 L22.4\text{ L}, so mol=L22.4 L/mol\text{mol} = \frac{\text{L}}{22.4\text{ L/mol}}.
  • A mole ratio comes from coefficients in a balanced equation, such as 2 mol H2O2 mol H2\frac{2\text{ mol H}_2\text{O}}{2\text{ mol H}_2} from 2H2+O22H2O2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}.

Vocabulary

Mole
A mole is an amount of substance equal to 6.022×10236.022 \times 10^{23} representative particles.
Avogadro's Number
Avogadro's number is 6.022×10236.022 \times 10^{23} particles per mole.
Molar Mass
Molar mass is the mass of 1 mol1\text{ mol} of a substance, usually measured in g/mol\text{g/mol}.
Representative Particle
A representative particle is the basic unit being counted, such as an atom, molecule, formula unit, or ion.
Molar Volume
Molar volume is the volume of 1 mol1\text{ mol} of gas, which is 22.4 L22.4\text{ L} at STP for an ideal gas.
Mole Ratio
A mole ratio is a conversion factor made from coefficients in a balanced chemical equation.

Common Mistakes to Avoid

  • Multiplying instead of dividing when converting grams to moles is wrong because molar mass has units of g/mol\text{g/mol}, so grams must be divided by g/mol\text{g/mol} to leave moles.
  • Using Avogadro's number for grams is wrong because 6.022×10236.022 \times 10^{23} converts between particles and moles, not between mass and moles.
  • Forgetting to balance the chemical equation before using mole ratios is wrong because coefficients must represent the actual ratio of reacting particles.
  • Using 22.4 L/mol22.4\text{ L/mol} for any gas condition is wrong because this molar volume only applies at STP unless the problem states otherwise.
  • Rounding molar mass too early is wrong because early rounding can create noticeable errors in multi-step mole conversion problems.

Practice Questions

  1. 1 How many moles are in 18.0 g18.0\text{ g} of water, H2O\text{H}_2\text{O}?
  2. 2 How many molecules are in 2.50 mol2.50\text{ mol} of carbon dioxide, CO2\text{CO}_2?
  3. 3 At STP, what volume in liters is occupied by 0.750 mol0.750\text{ mol} of oxygen gas, O2\text{O}_2?
  4. 4 Why is the mole usually placed in the center of a mole conversion roadmap instead of grams, liters, or particles?