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Course: Science — Second Preparatory
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The Chemical Equation

Science — Second Preparatory

The Chemical Equation

Worked examples: balancing and mass calculations

Worked examples: balancing and mass calculations

Comparison aspectMain ideaKeywords
Example 1Balance CH₄ + O₂ → CO₂ + H₂OBalance
Solution
  • there is 1 carbon on each side. There are 4 hydrogen atoms on the left
  • so we place 2 in front of H₂O to get 2H₂O
  • and now there are 4 hydrogen atoms on each side. There are 4 oxygen atoms on the right (2 + 2)
  • so we place 2 in front of O₂. The balanced equation is CH₄ + 2O₂ → CO₂ + 2H₂O
carbonsidehydrogenatoms
Check the masses
  • 16 + 2 × 32 = 80
  • and 44 + 2 × 18 = 80. The two masses are equal
equal
Example 2Balance C₃H₈ + O₂ → CO₂ + H₂OBalanceC₃H₈
Solution
  • there are 3 carbon atoms
  • so we place 3 in front of CO₂. There are 8 hydrogen atoms
  • so we place 4 in front of H₂O. There are 3 × 2 + 4 = 10 oxygen atoms on the right
  • so we place 5 in front of O₂. The balanced equation is C₃H₈ + 5O₂ → 3CO₂ + 4H₂O
carbonatomsplacefront
Comparison aspectMain ideaKeywords
Example 3: mass calculation.
  • If 12 g of magnesium burn completely according to 2Mg + O₂ → 2MgO
  • what mass of magnesium oxide is formed? (Relative atomic masses: Mg = 24
  • O = 16)
magnesiumburncompletelyaccording
Solution
  • the mass of 2Mg is 48 g
  • and the mass of 2MgO is 2 × 40 = 80 g. So 48 g of magnesium gives 80 g of magnesium oxide
mass2MgOmagnesiumgives
•Mass of MgO = 12 × 80 ÷ 48 = 20 gMass
•
  • The oxygen that reacted is 8 g
  • and this agrees with the law of conservation of mass: 12 + 8 = 20
oxygenreactedagreesconservation
Example 4: balancing an iron reaction.Balance Fe + O₂ → Fe₂O₃BalanceFe₂O₃
Solution
  • place 2 in front of Fe₂O₃ so that there are 2 iron atoms on the right
  • then place 4 in front of Fe. There are 3 × 2 = 6 oxygen atoms on the right
  • so we place 3 in front of O₂. The equation is 4Fe + 3O₂ → 2Fe₂O₃. Check: 4 × 56 + 3 × 32 = 320
  • and 2 × 160 = 320
placefrontFe₂O₃iron
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