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Chemical Equation Balancing Strategies

Sep 10, 2025

Overview

This lecture covers strategies and step-by-step methods for balancing different types of chemical equations, including combustion, synthesis, and double replacement reactions.

General Steps for Balancing Equations

  • A balanced equation has equal numbers of each type of atom on both sides.
  • Balance in this order: metals → nonmetals → hydrogen → oxygen (for combustion).
  • When fractions occur, multiply all coefficients by a common multiple to get whole numbers.

Balancing Combustion Reactions

  • For C₃H₈ + O₂ → CO₂ + H₂O: Balance C first (3 CO₂), then H (4 H₂O), finally O (5 O₂).
  • For C₄H₁₀ + O₂ → CO₂ + H₂O: Balance C (4 CO₂), H (5 H₂O), then O (13/2 O₂), then multiply all by 2 to get whole numbers.

Balancing Single Replacement and Synthesis Reactions

  • Al + HCl → AlCl₃ + H₂: Balance Cl (6 HCl), then Al (2 Al), then H (3 H₂).
  • Ga + CuBr₂ → GaBr₃ + Cu: Balance Br (3 CuBr₂ and 2 GaBr₃), then Cu (3 Cu), then Ga (2 Ga).

Balancing with Odd-Even Atom Situations

  • Use least common multiples to balance atoms that appear in odd and even numbers.
  • Multiply reactants or products to achieve the same number of atoms on both sides.

Balancing Equations with Polyatomic Ions

  • Treat polyatomic ions (like PO₄³⁻ or SO₄²⁻) as units when they remain unchanged on both sides.
  • For Na₃PO₄ + MgCl₂ → NaCl + Mg₃(PO₄)₂: Balance PO₄ units first, then Na, then Mg, then Cl.

Special Cases

  • If a molecule like S₈ is present, balance sulfur first, then adjust other elements.
  • When fractions appear, multiply all coefficients to get whole numbers in the final balanced equation.

Key Terms & Definitions

  • Coefficient — the number in front of a molecule or atom in a chemical equation indicating quantity.
  • Subscript — the small number in a chemical formula showing the number of atoms of an element.
  • Combustion Reaction — reaction of a hydrocarbon with O₂ producing CO₂ and H₂O.
  • Polyatomic Ion — a charged group of covalently bonded atoms acting as a unit.

Action Items / Next Steps

  • Practice balancing provided sample reactions.
  • Review molecular formulas and common polyatomic ions.
  • Prepare for assignment on balancing equations with increasing complexity.