Let’s go through each equation one by one and balance them. Balancing means making sure the number of atoms of each element is the same on both sides of the arrow.
---
1. N₂ + H₂ → NH₃
Left: 2 N, 2 H
Right: 1 N, 3 H
We need to make N and H equal on both sides.
Try putting a 2 in front of NH₃:
→ N₂ + H₂ →
2NH₃
Now right has: 2 N, 6 H
So left needs 6 H → put 3 in front of H₂:
→ N₂ +
3H₂ → 2NH₃
Check: Left: 2 N, 6 H | Right: 2 N, 6 H
✔
---
2. H₂O → H₂ + O₂
Left: 2 H, 1 O
Right: 2 H, 2 O
Oxygen is unbalanced. Put 2 in front of H₂O:
→
2H₂O → H₂ + O₂
Left: 4 H, 2 O
Now hydrogen: right has only 2 H → put 2 in front of H₂:
→ 2H₂O →
2H₂ + O₂
Check: Left: 4 H, 2 O | Right: 4 H, 2 O
✔
---
3. CH₄ + O₂ → CO₂ + H₂O
Left: 1 C, 4 H, 2 O
Right: 1 C, 2 H, 3 O (1 from CO₂? Wait — CO₂ has 2 O, H₂O has 1 O → total 3 O)
Hydrogen: left has 4 H, right has 2 H → put 2 in front of H₂O:
→ CH₄ + O₂ → CO₂ +
2H₂O
Now right: 1 C, 4 H, 4 O (CO₂ = 2 O, 2H₂O = 2 O → total 4 O)
Left: O₂ gives 2 O → need 4 O → put 2 in front of O₂:
→ CH₄ +
2O₂ → CO₂ + 2H₂O
Check: Left: 1 C, 4 H, 4 O | Right: 1 C, 4 H, 4 O
✔
---
4. CO₂ → CO + O₂
Left: 1 C, 2 O
Right: 1 C, 3 O (CO has 1 O, O₂ has 2 O → total 3 O)
Not balanced. Try 2 CO₂ on left:
→
2CO₂ → CO + O₂
Left: 2 C, 4 O
Right: need 2 C → put 2 in front of CO:
→ 2CO₂ →
2CO + O₂
Now right: 2 C, 2 O (from 2CO) + 2 O (from O₂) = 4 O
✔
Check: Left: 2 C, 4 O | Right: 2 C, 4 O
✔
---
5. CH₂O + H₂ → CH₃OH
Left: C=1, H=2+2=4, O=1
Right: C=1, H=4, O=1 → already balanced!
Wait — let’s count again:
CH₂O: C=1, H=2, O=1
H₂: H=2 → total H = 4
CH₃OH: C=1, H=4 (3+1), O=1 → yes, same.
So coefficients are all 1.
→
1CH₂O +
1H₂ →
1CH₃OH
✔
---
6. P₄ + H₂ → PH₃
Left: P=4, H=2
Right: P=1, H=3
Need 4 P on right → put 4 in front of PH₃:
→ P₄ + H₂ →
4PH₃
Right: 4 P, 12 H
Left: H₂ has 2 H → need 12 H → put 6 in front of H₂:
→ P₄ +
6H₂ → 4PH₃
Check: Left: 4 P, 12 H | Right: 4 P, 12 H
✔
---
7. C + O₂ → CO₂
Left: C=1, O=2
Right: C=1, O=2 → already balanced!
→
1C +
1O₂ →
1CO₂
✔
---
8. HCl → H₂ + Cl₂
Left: H=1, Cl=1
Right: H=2, Cl=2
Put 2 in front of HCl:
→
2HCl → H₂ + Cl₂
Check: Left: 2 H, 2 Cl | Right: 2 H, 2 Cl
✔
---
Final Answer:
1.
1 N₂ +
3 H₂ →
2 NH₃
2.
2 H₂O →
2 H₂ +
1 O₂
3.
1 CH₄ +
2 O₂ →
1 CO₂ +
2 H₂O
4.
2 CO₂ →
2 CO +
1 O₂
5.
1 CH₂O +
1 H₂ →
1 CH₃OH
6.
1 P₄ +
6 H₂ →
4 PH₃
7.
1 C +
1 O₂ →
1 CO₂
8.
2 HCl →
1 H₂ +
1 Cl₂
Parent Tip: Review the logic above to help your child master the concept of balanced equations worksheet.