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Chemical Reactions and Balancing Equations

In a chemical reaction atoms are not made or destroyed; they only change partners. So a chemical equation must have the same number of each kind of atom on both sides. We balance it by changing the numbers in front of formulas, never the formulas themselves.

🎬 Step-by-step story

  1. Here are the starting substances, the reactants: one hydrogen molecule (two white H atoms) and one oxygen molecule (two red O atoms).
  2. They react to make water, H₂O. Write it as H₂ + O₂ → H₂O and count: 2 oxygen atoms on the left but only 1 on the right. Not balanced.
  3. We cannot change H₂O into H₂O₂. So we make two water molecules instead: 2H₂O. Now oxygen is 2 = 2, but hydrogen is 2 on the left and 4 on the right.
  4. Put a 2 in front of hydrogen too: 2H₂ + O₂ → 2H₂O. Hydrogen 4 = 4, oxygen 2 = 2. The equation is balanced.
  5. Look at the mass: 4 u + 32 u on the left, 36 u on the right. Same atoms, same mass. This is the law of conservation of mass.
  6. Your turn. Pick an equation, press + and − to change the numbers in front, and watch the atom count until it says Balanced.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Why can't I just change H₂O to H₂O₂ to balance oxygen?

H₂O₂ is hydrogen peroxide, a completely different substance. In the 3D step you see we add a whole second water molecule instead.

Does a balanced equation mean the number of molecules is the same on both sides?

No. 2H₂ + O₂ → 2H₂O has 3 molecules on the left and 2 on the right. Only atoms must match.

Where does the mass go when a candle burns?

Into gases like carbon dioxide and water vapour. Count the atoms: none are lost, so the mass stays the same.

Which element should I balance first?

Start with the one that appears in the fewest formulas, and leave H and O for last. Try CH₄ + O₂ in free play.

Why write state symbols at all?

They tell you how the reaction is done, for example iron reacts with steam (g), not with liquid water.

What is a chemical reaction? How do we know one happened?

A chemical reaction is a change in which new substances with new properties are formed. The substances we start with are reactants; the new ones are products.

Signs that tell us a reaction has taken place:

Writing a chemical equation

A word equation uses names: magnesium + oxygen → magnesium oxide. A chemical equation uses formulas: Mg + O₂ → MgO. Reactants go on the left, products on the right, and the arrow means "changes into".

An equation with correct formulas but unequal atom counts is called a skeletal equation. Mg + O₂ → MgO is skeletal: there are 2 O on the left and 1 on the right.

Balancing a chemical equation step by step

Mass cannot be created or destroyed in a reaction (law of conservation of mass). So each kind of atom must be equal on both sides.

The hit-and-trial method

  1. Write the skeletal equation with correct formulas.
  2. Make a table of atoms on each side.
  3. Start with the compound that has the most atoms, and the element that appears in fewest places.
  4. Put coefficients (numbers in front) to equalise that element. Never change subscripts: H₂O and H₂O₂ are different substances.
  5. Go element by element; leave H and O for the end.
  6. Recount everything. Use the smallest whole numbers.

Worked on screen

Fe + H₂O → Fe₃O₄ + H₂. Fe₃O₄ has the most atoms, so start with O: 4H₂O on the left. Then H: 8 on the left, so 4H₂ on the right. Then Fe: 3Fe on the left. Balanced: 3Fe + 4H₂O → Fe₃O₄ + 4H₂.

Making equations more informative: state symbols and conditions

We add the physical state after each formula: (s) solid, (l) liquid, (g) gas, (aq) aqueous, meaning dissolved in water. Example: 3Fe(s) + 4H₂O(g) → Fe₃O₄(s) + 4H₂(g). Here (g) for water tells us steam is used.

Conditions such as heat (Δ), light, a catalyst, temperature or pressure are written above or below the arrow, for example CO(g) + 2H₂(g) → CH₃OH(l) at 340 atm.

Board exam tip: balancing questions appear almost every year, usually 1–2 marks, and "write the balanced equation with state symbols" is common in 3-mark questions.

Key formulas and definitions

Worked examples

1. Balance: H₂ + Cl₂ → HCl

Left: 2 H, 2 Cl. Right: 1 H, 1 Cl. Put 2 in front of HCl: H₂ + Cl₂ → 2HCl. Now 2 H and 2 Cl on each side.

2. Balance: Mg + O₂ → MgO

Oxygen: 2 on left, 1 on right, so write 2MgO. Now Mg is 2 on the right, so write 2Mg. Answer: 2Mg + O₂ → 2MgO.

3. Balance: N₂ + H₂ → NH₃

N: 2 on left, so 2NH₃. That gives 6 H on the right, so 3H₂ on the left. Answer: N₂ + 3H₂ → 2NH₃.

4. Balance: CH₄ + O₂ → CO₂ + H₂O

C is 1 = 1. H: 4 on left, so 2H₂O. O on right = 2 (in CO₂) + 2 (in 2H₂O) = 4, so 2O₂. Answer: CH₄ + 2O₂ → CO₂ + 2H₂O.

5. Balance: Fe + H₂O → Fe₃O₄ + H₂ and add state symbols (steam is used).

O: 4 in Fe₃O₄ → 4H₂O. H: 8 → 4H₂. Fe: 3 → 3Fe. Answer: 3Fe(s) + 4H₂O(g) → Fe₃O₄(s) + 4H₂(g).

6. Balance: Al + O₂ → Al₂O₃

O: 2 on left, 3 on right. The LCM of 2 and 3 is 6, so 3O₂ and 2Al₂O₃. Now Al is 4 on the right, so 4Al. Answer: 4Al + 3O₂ → 2Al₂O₃.

Common mistakes

Practice quiz

1. In a balanced equation, which must be equal on both sides?
2. How many oxygen atoms are in 3CO₂?
3. The balanced form of H₂ + O₂ → H₂O is:
4. The symbol (aq) means the substance is:
5. We balance equations because of the law of:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is a balanced chemical equation?

One in which the number of atoms of each element is the same on the reactant and product sides.

What is a skeletal equation?

An equation with correct formulas but not yet balanced, like H₂ + O₂ → H₂O.

Is balancing equations important for the Class 10 board exam?

Yes. Chapter 1 of CBSE Class 10 Science asks balancing questions almost every year, often with state symbols.

Where this is taught

Canada (Ontario)Grade 10C. Chemistry: Chemical Reactions
Canada (Ontario)Grade 10C. Chemistry: Chemical Reactions and their Practical Applications
NetherlandsVWO 3 (onderbouw)Chemical reactions and circularity
NetherlandsHAVO 4 (bovenbouw, 2e fase)Chemical processes and cycles (part 1)
NetherlandsVWO 4 (bovenbouw, 2e fase)Chemical processes (part 1)
RomaniaClasa a VIII-aChemical changes of substances
Spain2º ESOChange
Spain3º ESOChange
Spain4º ESOChange
Spain1º BachilleratoChemical reactions
Spain2º BachilleratoA universe of matter and energy
CBSE (India)Class 10Chemical Substances – Nature and Behaviour
England (GCSE, A level)Year 9Chemistry
USA (Common Core, NGSS, AP)Grade 8MS-PS1 Matter and its interactions
USA (Common Core, NGSS, AP)Grade 9Matter
Japan中学2年Field 1 (4): Chemical change, atoms and molecules
South Korea중학교 3학년Chemical reactions: laws and energy
FranceQuatrièmeMatter and its changes
FranceTroisièmeMatter and its changes
FranceSecondeMatter
FranceTerminaleChemistry
Russia8 классFirst chemical concepts
Russia8 классFirst chemical concepts
China九年级(初三)U5 Quantitative relations in reactions

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