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Study Guide: GCSE Chemistry - How to Solve: Balancing Chemical Equations
Source: https://www.fatskills.com/gcse-chemistry/chapter/gcse-chemistry-how-to-solve-balancing-chemical-equations

GCSE Chemistry - How to Solve: Balancing Chemical Equations

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~5 min read

How to Solve: Balancing Chemical Equations

Complete Guide For GCSE/A-Level Chemistry (Edexcel, AQA, OCR) – Exam-Ready in 60 Minutes


Introduction

On camera: "Balancing equations isn’t just a box-ticking exercise—it’s the key to predicting reaction yields, calculating masses, and even understanding climate change. Miss this, and you lose 10–15% of your Chemistry exam marks. Today, we’ll turn this from a panic-inducing puzzle into a 30-second habit."


WHAT YOU NEED TO KNOW FIRST

  1. Law of Conservation of Mass: Atoms aren’t created or destroyed in a reaction—they just rearrange.
  2. Chemical Formulae: You must know (or be given) the correct formulae for reactants and products (e.g., H₂O, CO₂, NaCl).
  3. State Symbols: (s), (l), (g), (aq) are not part of balancing—ignore them for now.

KEY TERMS & FORMULAS

Term Definition Exam Note
Reactants Substances you start with (left side of the equation).
Products Substances formed (right side of the equation).
Coefficient The big number in front of a formula (e.g., 2H₂O). Changes the count of molecules. MEMORISE THIS
Subscript The small number within a formula (e.g., H₂O). Never change these! MEMORISE THIS
Balanced Equation Same number of each type of atom on both sides.

Formula to Remember: Total atoms of element X on left = Total atoms of element X on right (This is the only "formula" you need—no maths required!)


STEP-BY-STEP METHOD

On camera: "Follow these 5 steps in order. No shortcuts. Let’s go."

  1. Write the unbalanced equation
  2. List reactants → products with correct formulae.
  3. Example: Methane burns in oxygen → carbon dioxide + water. Unbalanced: CH₄ + O₂ → CO₂ + H₂O

  4. Count atoms of each element on both sides

  5. Make a table under the equation.
  6. Example: | Element | Left Side | Right Side | |---------|-----------|------------| | C | 1 | 1 | | H | 4 | 2 | | O | 2 | 3 |

  7. Balance one element at a time

  8. Start with the most complex molecule (usually the one with the most elements).
  9. Example: Balance H first (4 on left, 2 on right).

    • Add a coefficient of 2 to H₂O → H₂O becomes 2H₂O.
    • Update the table: | Element | Left Side | Right Side | |---------|-----------|------------| | C | 1 | 1 | | H | 4 | 4 | (Balanced!) | O | 2 | 4 |
  10. Balance the next element

  11. Now balance O (2 on left, 4 on right).

    • Add a coefficient of 2 to O₂ → O₂ becomes 2O₂.
    • Update the table: | Element | Left Side | Right Side | |---------|-----------|------------| | C | 1 | 1 | | H | 4 | 4 | | O | 4 | 4 | (Balanced!)
  12. Check all elements

  13. Recount every atom. If any don’t match, go back to Step 3.
  14. Final balanced equation: CH₄ + 2O₂ → CO₂ + 2H₂O

On camera: "That’s it. No guessing, no skipping steps. Now let’s try three examples—one easy, one medium, and one exam-style."


WORKED EXAMPLES

Example 1 – Basic: Hydrogen + Oxygen → Water

Unbalanced: H₂ + O₂ → H₂O

  1. Count atoms: | Element | Left | Right | |---------|------|-------| | H | 2 | 2 | | O | 2 | 1 |

  2. Balance O first (2 on left, 1 on right).

  3. Add coefficient 2 to H₂O → 2H₂O.
  4. Update table: | Element | Left | Right | |---------|------|-------| | H | 2 | 4 | | O | 2 | 2 | (O balanced!)

  5. Balance H (2 on left, 4 on right).

  6. Add coefficient 2 to H₂ → 2H₂.
  7. Final table: | Element | Left | Right | |---------|------|-------| | H | 4 | 4 | | O | 2 | 2 |

Balanced equation: 2H₂ + O₂ → 2H₂O What we did and why: We balanced O first because it appeared in only one molecule on each side. Then we fixed H by doubling the H₂.


Example 2 – Medium: Aluminium + Hydrochloric Acid → Aluminium Chloride + Hydrogen

Unbalanced: Al + HCl → AlCl₃ + H₂

  1. Count atoms: | Element | Left | Right | |---------|------|-------| | Al | 1 | 1 | | H | 1 | 2 | | Cl | 1 | 3 |

  2. Balance Cl first (1 on left, 3 on right).

  3. Add coefficient 3 to HCl → 3HCl.
  4. Update table: | Element | Left | Right | |---------|------|-------| | Al | 1 | 1 | | H | 3 | 2 | | Cl | 3 | 3 | (Cl balanced!)

  5. Balance H (3 on left, 2 on right).

  6. Add coefficient 1.5 to H₂ → 1.5H₂.
  7. But coefficients must be whole numbers! Multiply everything by 2:
    • 2Al + 6HCl → 2AlCl₃ + 3H₂
  8. Final table: | Element | Left | Right | |---------|------|-------| | Al | 2 | 2 | | H | 6 | 6 | | Cl | 6 | 6 |

Balanced equation: 2Al + 6HCl → 2AlCl₃ + 3H₂ What we did and why: We hit a fraction (1.5), so we doubled all coefficients to keep whole numbers. Always check for fractions!


Example 3 – Exam-Style: Propane (C₃H₈) Combustion

Question: Balance the equation for the complete combustion of propane: C₃H₈ + O₂ → CO₂ + H₂O

  1. Count atoms: | Element | Left | Right | |---------|------|-------| | C | 3 | 1 | | H | 8 | 2 | | O | 2 | 3 |

  2. Balance C first (3 on left, 1 on right).

  3. Add coefficient 3 to CO₂ → 3CO₂.
  4. Update table: | Element | Left | Right | |---------|------|-------| | C | 3 | 3 | | H | 8 | 2 | | O | 2 | 7 | (3×2 + 2 = 8 O on right!)

  5. Balance H (8 on left, 2 on right).

  6. Add coefficient 4 to H₂O → 4H₂O.
  7. Update table: | Element | Left | Right | |---------|------|-------| | C | 3 | 3 | | H | 8 | 8 | | O | 2 | 10 | (3×2 + 4×1 = 10 O on right!)

  8. Balance O (2 on left, 10 on right).

  9. Add coefficient 5 to O₂ → 5O₂.
  10. Final table: | Element | Left | Right | |---------|------|-------| | C | 3 | 3 | | H | 8 | 8 | | O | 10 | 10 |

Balanced equation: C₃H₈ + 5O₂ → 3CO₂ + 4H₂O What we did and why: We balanced C and H first (they appeared in only one molecule on each side), then fixed O last. This order avoids fractions!


COMMON MISTAKES

Mistake Why It Happens Correct Approach
Changing subscripts Student thinks H₂O can become H₂O₂ to balance O. Never change subscripts! Only add coefficients.
Balancing in the wrong order Student balances O first in C₃H₈ + O₂ → CO₂ + H₂O, leading to fractions. Balance C and H first, then O.
Forgetting to recount Student adds a coefficient but doesn’t update the atom count. After every change, recount all atoms.
Using fractions Student writes 1.5H₂ instead of doubling everything. Multiply all coefficients by 2 to eliminate fractions.
Ignoring diatomic elements Student forgets O₂, H₂, N₂, etc., are diatomic. Memorise: H₂, O₂, N₂, F₂, Cl₂, Br₂, I₂.

EXAM TRAPS

Trap How to Spot It How to Avoid It
State symbols distracting Equation includes (g), (l), (aq), etc. Ignore state symbols when balancing. Focus only on atoms.
Polyatomic ions appearing unchanged Equation has NO₃⁻ or SO₄²⁻ on both sides. Treat polyatomic ions as one unit (e.g., count NO₃ as "N + 3O").
Hidden elements Equation has a compound like H₂SO₄ (S and O hidden). Break down every formula into individual elements before counting.

1-MINUTE RECAP

On camera (fast-paced, direct to student): "Listen up—this is your 60-second cheat sheet for balancing equations. Step 1: Write the unbalanced equation with correct formulae. Step 2: Count atoms of each element on both sides. Step 3: Balance one element at a time, starting with the most complex molecule. Step 4: If you get a fraction, double everything. Step 5: Check all atoms again. Remember: Never change subscripts, always balance C and H before O, and treat polyatomic ions as one chunk. That’s it. Now go balance 5 equations tonight—you’ve got this!"