A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Chemical Equations: Writing and Balancing Reactions

College Depth 159 in the knowledge graph ☐ I know this ☆ Set as goal
3,205topics build on this
951prerequisites beneath it
See this on the map →
Classification of Matter: Elements, Compounds, and MixturesConservation of Mass in Chemical Reactions+4 more→→Acid-Base Neutralization ReactionsAssigning Oxidation Numbers and Identifying Redox+10 more
chemical equations balancing coefficients mass conservation

Core Idea

Chemical equations show reactants (left side) converting to products (right side) through breaking and forming bonds. Balancing equations ensures mass is conserved: the same number of each element's atoms appears on both sides. Coefficients (not subscripts) are adjusted to balance. Equation type (synthesis, combustion, etc.) indicates the reaction type.

Explainer

A chemical equation is the sentence structure of chemistry — it tells you what reacts, what forms, and in what proportions. The reactants go on the left side of an arrow, the products on the right, and the arrow itself means "yields" or "produces." From your earlier study of matter classification, you know that atoms are neither created nor destroyed in ordinary chemical reactions. This is the law of conservation of mass, and it imposes a rigid constraint: every atom that appears on the left must also appear on the right. A balanced equation satisfies this constraint.

The key tool for balancing is the coefficient — the number placed in front of a formula. Coefficients multiply every atom in that formula. For example, placing a 2 in front of H₂O means two water molecules: 4 hydrogen atoms and 2 oxygen atoms total. Critically, you never change subscripts to balance an equation, because subscripts define what the substance *is*. Changing H₂O to H₂O₂ does not balance water — it turns it into hydrogen peroxide, a completely different compound.

A practical strategy for balancing works in most cases: start by balancing elements that appear in only one compound on each side, save hydrogen and oxygen for last (since they often appear in multiple compounds), and balance polyatomic ions as a unit when they pass through unchanged. Consider the combustion of propane: C₃H₈ + O₂ → CO₂ + H₂O. Carbon appears in one reactant and one product, so balance it first: you need 3 CO₂. Hydrogen appears in one reactant and one product: 8 hydrogens require 4 H₂O. Now count oxygen on the right: 3(2) + 4(1) = 10 oxygen atoms, requiring 5 O₂ on the left. The balanced equation C₃H₈ + 5O₂ → 3CO₂ + 4H₂O now conserves every atom.

Beyond simple balancing, learning to recognize reaction types accelerates your ability to predict products. In a synthesis (combination) reaction, two or more substances merge into one (A + B → AB). In a decomposition, one substance breaks apart (AB → A + B). Single replacement reactions swap one element for another in a compound (A + BC → AC + B), while double replacement reactions exchange partners between two compounds (AB + CD → AD + CB). Combustion of hydrocarbons always produces CO₂ and H₂O. Recognizing the pattern tells you what products to expect before you even start balancing — and balanced equations are the foundation for every stoichiometric calculation that follows.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Electron Affinity → Ionic Bonding: Electron Transfer and Electrostatic Forces → Writing Chemical Formulas for Ionic Compounds → Chemical Equations: Writing and Balancing Reactions

Longest path: 160 steps · 951 total prerequisite topics

Prerequisites (6)

Leads To (12)