3.4Chemical Equation
Chemical equations provide a concise and precise method for chemists to represent chemical reactions. Learn to write, balance and interpret them, then use mole ratios to solve stoichiometric problems.
Learning Objectives
- Write balanced chemical equations with correct formulae and physical states.
- Interpret chemical equations qualitatively and quantitatively.
- Solve stoichiometry numerical problems involving mass, number of particles, and gas volumes at STP or room conditions.
Flowchart of 5 Steps to Write a Balanced Chemical Equation
A clear visual roadmap from a word description to a fully balanced stoichiometric equation with physical states.
Hydrogen + Oxygen → Water
H2 + O2 → H2O
Left: 2 H, 2 O • Right: 2 H, 1 O — oxygen is unbalanced.
2H2 + O2 → 2H2O
2H2(g) + O2(g) → 2H2O(l)
Brief Explanation
Understand the structure, balancing rules and interpretation of chemical equations.
Structure of a Chemical Equation
Reactants are written on the left, products on the right, separated by an arrow (→) meaning "produces". Reaction conditions such as heating may be shown around the arrow; the Greek letter delta (Δ) indicates that heating is required.
Physical State Symbols
State symbols are usually indicated in parentheses after each chemical formula: (s) solid, (l) liquid, (g) gas, and (aq) aqueous solution.
| State symbol | Meaning |
|---|---|
| (s) | Solid |
| (l) | Liquid |
| (g) | Gas |
| (aq) | Aqueous solution — substance dissolved in water |
Qualitative Interpretation
For 2Na(s) + Cl2(g) → 2NaCl(s), the qualitative aspect identifies the reactants — solid sodium metal and chlorine gas — and the product, solid sodium chloride, together with their physical states.
Quantitative Interpretation
The coefficients represent both individual entity counts and relative quantities in moles. For the same reaction: 2 atoms of Na react with 1 molecule of Cl2 to produce 2 formula units of NaCl; equivalently, 2 mol of Na react with 1 mol of Cl2 to produce 2 mol of NaCl.
- Number of moles = mass (g) ÷ molar mass (g mol−1)
- Number of particles = number of moles × Avogadro constant (NA = 6.02 × 1023 mol−1)
- Volume of gas = number of moles × molar volume
- Molar volume at STP = 22.4 dm3 mol−1
- Molar volume at room conditions = 24 dm3 mol−1
Try to Answer First
Answer mentally, then check the explanation.
What does the symbol (aq) placed after a chemical formula represent?
Balance the following skeleton equation: Fe2O3(s) + H2(g) → Fe(s) + H2O(l)
Decomposition of calcium carbonate: CaCO3(s) → CaO(s) + CO2(g). Calculate the mass of CaCO3 needed to produce 1.2 dm3 of CO2 gas at room conditions. [Relative atomic mass: C = 12, O = 16, Ca = 40; Molar volume at room conditions = 24 dm3 mol−1]
Common Mistakes
Avoid these errors when writing and using chemical equations.
Concept Misunderstandings
Compare each misconception with the correct fact.
Coefficients indicate the mass ratio of reacting substances.
Coefficients indicate the mole ratio or entity ratio, not mass ratios. Reactants do not combine in simple mass ratios of their coefficients because different substances have different molar masses.
The total number of molecules on the reactant side must equal the total number of molecules on the product side.
Only the total number of atoms of each element is conserved. The total number of molecules can change during a reaction; for example, in N2 + 3H2 → 2NH3, 4 reactant molecules form 2 product molecules.
The arrow symbol (→) denotes an equal sign (=).
The arrow denotes a chemical transformation meaning "produces" or "yields", showing the direction of the reaction from reactants to products.
Summary
Key facts to remember.
- A chemical equation represents a reaction using reactants on the left, products on the right, and an arrow (→) meaning "produces".
- State symbols indicate physical forms: (s) solid, (l) liquid, (g) gas, and (aq) aqueous solution. A delta (Δ) indicates heating.
- The law of conservation of mass requires chemical equations to be balanced by placing coefficients in front of formulae so atom totals match.
- Stoichiometry uses coefficients as mole ratios to convert between masses, gas volumes at STP or room conditions, and numbers of particles.
Short Activity
Complete all parts before checking your score.
A. Objective Quiz
What does the Greek letter delta (Δ) written below or above the reaction arrow in a chemical equation signify?
In the balanced equation 2H2O2(l) → 2H2O(l) + O2(g), what volume of oxygen gas at STP is produced from the complete decomposition of 30.6 g of hydrogen peroxide, H2O2? [Relative atomic mass: H = 1, O = 16; Molar volume at STP = 22.4 dm3 mol−1]
B. Fill in the Blanks
Chemical equations must be balanced to satisfy the law of conservation of ________, which states that matter can neither be created nor destroyed.
The coefficient placed in front of AgNO3(aq) to balance the equation Zn(s) + AgNO3(aq) → Zn(NO3)2(aq) + 2Ag(s) is ________.
C. Match the Term or Symbol with Its Description
Drag each term on desktop. On mobile, tap a term and then tap the matching box.
Answer Choices
(aq) Stoichiometry Delta (Δ) CoefficientDescription Matching
Keywords
Tap or hover over a term to read its meaning.