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Chemical Reactions and Equations

Balancing the count

H₂ + O₂ → H₂O. Count the atoms on both sides.

H₂ + O₂ → H₂O. Left: 2 H, 2 O. Right: 2 H, 1 O.
Step 1 of 4
  1. H₂ + O₂ → H₂O. Left: 2 H, 2 O. Right: 2 H, 1 O.
  2. Oxygen is short. Put a 2 in front of the water.
  3. Hydrogen is now short on the left: 2 against 4. Put a 2 in front of the hydrogen too.
  4. 2H₂ + O₂ → 2H₂O. H 4 = 4. O 2 = 2.

Tap a formula to change its number. Make both sides match.

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The rule

Atoms only rearrange in a reaction. Each atom's count must match on both sides. A coefficient multiplies one whole formula.

H₂ + O₂ → H₂O, before and after balancing
AtomLeft, beforeRight, beforeLeft, afterRight, after
Hydrogen2244
Oxygen2122

A 2 in front of water makes oxygen 2 on each side. It also makes hydrogen 4 on the right. A 2 in front of hydrogen makes hydrogen 4 on the left. The balanced sentence is 2H₂ + O₂ → 2H₂O.

Aluminium burning in air needs three numbers. Al + O₂ → Al₂O₃ becomes 4Al + 3O₂ → 2Al₂O₃.

Oxygen first: O₂ gives 2 and Al₂O₃ gives 3. Both reach 6, so write 3O₂ and 2Al₂O₃. Then 2Al₂O₃ holds 4 Al, so write 4Al.

Use the smallest whole numbers. 4H₂ + 2O₂ → 4H₂O is balanced. 2H₂ + O₂ → 2H₂O is smaller.

Some sentences need no fix. Ca + Cl₂ → CaCl₂ has 1 calcium and 2 chlorine atoms each side.

Watch out!

Do not fix a count by changing a formula's small numbers. H₂O₂ is not water. Change the number in front.

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This track

  1. 0 Start here
  2. 1 What a new substance means
  3. 2 From words to formulae
  4. 3 Balancing the count
  5. 4 Many become one
  6. 5 One becomes many
  7. 6 Somebody takes somebody else's place
  8. 7 Oxygen on the move
  9. 8 Slow reactions, all around
  10. 9 Writing the swapped formulas
  11. 10 Checkpoint: the shapes of reactions
  12. 11 The big picture
  13. 12 Track quiz

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