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Practice worksheet for balancing chemical equations with various reactions involving acids, bases, metals, and compounds.

Balancing Chemical Reactions worksheet with 25 equations to balance, featuring chemical formulas and blank spaces for coefficients.

Balancing Chemical Reactions worksheet with 25 equations to balance, featuring chemical formulas and blank spaces for coefficients.

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Show Answer Key & Explanations Step-by-step solution for: Balancing Chemical Equations - Worksheet 1 | Science 9th Grade
Let’s go through each equation one by one and balance them step by step. Balancing means making sure the number of atoms of each element is the same on both sides of the arrow.

We’ll use coefficients (numbers in front) to balance — never change the subscripts!

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1. H₃PO₄ + KOH → K₃PO₄ + H₂O

Left: H=3+1=4, P=1, O=4+1=5, K=1
Right: K=3, P=1, O=4+1=5, H=2

Try putting 3 in front of KOH and 3 in front of H₂O:

→ H₃PO₄ + 3KOH → K₃PO₄ + 3H₂O

Check:
Left: H=3+3=6, K=3, O=4+3=7, P=1
Right: K=3, P=1, O=4+3=7, H=6

Balanced: 1, 3, 1, 3

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2. HCl + NaOH → NaCl + H₂O

Already balanced? Let’s check:

Left: H=1+1=2, Cl=1, Na=1, O=1
Right: Na=1, Cl=1, H=2, O=1

Balanced: 1, 1, 1, 1

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3. Na + NaNO₃ → Na₂O + N₂

Left: Na=1+1=2, N=1, O=3
Right: Na=2, O=1, N=2

Need more N on left → try 2 NaNO₃ → gives 2N, 6O

Now right needs 6O → so 6 Na₂O? That would be 12 Na — too many.

Try this:

Let’s set N₂ coefficient = 1 → need 2 N on left → so 2 NaNO₃

Then O from 2 NaNO₃ = 6 → so need 6 Na₂O? But that’s 12 Na on right.

Left: Na + 2 NaNO₃ → total Na = 1 + 2 = 3? Not enough.

Better approach:

Set NaNO₃ = 2 → N=2 → N₂=1
O=6 → so Na₂O must be 6 → Na=12 on right
So left: Na + 2 NaNO₃ → need 10 more Na → so Na = 10

Total left: Na=10 + 2 (from NaNO₃) = 12? Wait — NaNO₃ has 1 Na per molecule → 2 NaNO₃ = 2 Na

So total Na on left: x (from Na) + 2 (from NaNO₃) = x+2
On right: 6 Na₂O = 12 Na → so x+2=12 → x=10

Equation: 10Na + 2NaNO₃ → 6Na₂O + 1N₂

Check:
Left: Na=10+2=12, N=2, O=6
Right: Na=12, O=6, N=2

Balanced: 10, 2, 6, 1

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4. N₂ + O₂ → N₂O₅

Left: N=2, O=2
Right: N=2, O=5

Need even O on right → multiply N₂O₅ by 2 → N=4, O=10

Then left: N₂ → need 2 molecules → 2N₂ = 4N
O₂ → need 5 molecules → 5O₂ = 10O

Equation: 2N₂ + 5O₂ → 2N₂O₅

Check: N=4, O=10 on both sides

Balanced: 2, 5, 2

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5. H₃PO₄ + Mg(OH)₂ → Mg₃(PO₄)₂ + H₂O

Right: Mg=3, P=2, O=8+?= wait — PO₄ is 4 O each → 2×4=8, plus OH in water? Better count all.

Mg₃(PO₄)₂ → Mg=3, P=2, O=8
H₂O → H=2, O=1 per molecule

Left: H₃PO₄ → H=3, P=1, O=4
Mg(OH)₂ → Mg=1, O=2, H=2

To get 2 P on right → need 2 H₃PO₄ → H=6, P=2, O=8
To get 3 Mg → need 3 Mg(OH)₂ → Mg=3, O=6, H=6

Total left: H=6+6=12, O=8+6=14, P=2, Mg=3

Right: Mg₃(PO₄)₂ → Mg=3, P=2, O=8
Water: need to account for remaining H and O

H used: 12 → so 6 H₂O (since each has 2H) → H=12, O=6

Total O on right: 8 (from phosphate) + 6 (from water) = 14

Equation: 2H₃PO₄ + 3Mg(OH)₂ → 1Mg₃(PO₄)₂ + 6H₂O

Balanced: 2, 3, 1, 6

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6. NaOH + H₂CO₃ → Na₂CO₃ + H₂O

Left: Na=1, O=1+3=4, H=1+2=3, C=1
Right: Na=2, C=1, O=3+1=4, H=2

Need 2 Na on left → 2 NaOH → Na=2, O=2, H=2
Plus H₂CO₃ → H=2, C=1, O=3

Total left: Na=2, H=4, C=1, O=5
Right: Na₂CO₃ → Na=2, C=1, O=3
H₂O → if we put 2 → H=4, O=2 → total O=5

Equation: 2NaOH + 1H₂CO₃ → 1Na₂CO₃ + 2H₂O

Balanced: 2, 1, 1, 2

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7. H₂ + O₂ → H₂O₂

Left: H=2, O=2
Right: H=2, O=2 → already balanced!

Balanced: 1, 1, 1

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8. Na + O₂ → Na₂O

Left: Na=1, O=2
Right: Na=2, O=1

Need 2 Na on left → 2 Na
But O₂ has 2 O → right needs 2 O → so 2 Na₂O → Na=4, O=2

So left: 4 Na + O₂ → 2 Na₂O

Check: Na=4, O=2 on both sides

Balanced: 4, 1, 2

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9. Al + S₈ → Al₂S₃

S₈ has 8 S atoms. Al₂S₃ has 3 S.

LCM of 8 and 3 is 24.

So S₈ × 3 = 24 S → Al₂S₃ × 8 = 24 S → Al=16

Left: Al=16, S=24
Right: Al=16, S=24

Equation: 16Al + 3S₈ → 8Al₂S₃

Balanced: 16, 3, 8

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10. Cs + N₂ → Cs₃N

Right: Cs=3, N=1
Left: N₂ → 2 N → so need 2 Cs₃N → Cs=6, N=2

Left: Cs=6, N₂=1 → 2 N

Equation: 6Cs + 1N₂ → 2Cs₃N

Balanced: 6, 1, 2

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11. Mg + Cl₂ → MgCl₂

Already balanced: Mg=1, Cl=2 on both sides.

Balanced: 1, 1, 1

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12. Rb + RbNO₃ → Rb₂O + N₂

Similar to #3.

Set N₂=1 → need 2 N → so 2 RbNO₃ → Rb=2, N=2, O=6

Right: Rb₂O → to get 6 O → 6 Rb₂O → Rb=12

Left: Rb + 2 RbNO₃ → total Rb = x + 2 = 12 → x=10

Equation: 10Rb + 2RbNO₃ → 6Rb₂O + 1N₂

Check: Rb=10+2=12, N=2, O=6 → right: Rb=12, O=6, N=2

Balanced: 10, 2, 6, 1

---

13. C₆H₆ + O₂ → CO₂ + H₂O

Combustion reaction.

C₆H₆ → 6C, 6H

Right: CO₂ → 6C → 6 CO₂
H₂O → 6H → 3 H₂O

Oxygen: 6 CO₂ → 12 O, 3 H₂O → 3 O → total 15 O → so O₂ = 15/2 → not integer.

Multiply entire equation by 2:

2 C₆H₆ → 12C, 12H → 12 CO₂, 6 H₂O → O = 24 + 6 = 30 → O₂ = 15

Equation: 2C₆H₆ + 15O₂ → 12CO₂ + 6H₂O

Balanced: 2, 15, 12, 6

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14. N₂ + H₂ → NH₃

Classic Haber process.

N₂ → 2N → need 2 NH₃ → H=6 → so 3 H₂

Equation: 1N₂ + 3H₂ → 2NH₃

Balanced: 1, 3, 2

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15. C + O₂ → CO₂

Already balanced.

Balanced: 1, 1, 1

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16. C₃H₈ + O₂ → CO₂ + H₂O

Propane combustion.

C₃H₈ → 3C, 8H

→ 3 CO₂, 4 H₂O (since 8H / 2 = 4)

Oxygen: 3×2=6 from CO₂, 4×1=4 from H₂O → total 10 O → O₂=5

Equation: 1C₃H₈ + 5O₂ → 3CO₂ + 4H₂O

Balanced: 1, 5, 3, 4

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17. Li + AlCl₃ → LiCl + Al

Single displacement.

AlCl₃ → 3 Cl → so 3 LiCl → need 3 Li

Equation: 3Li + 1AlCl₃ → 3LiCl + 1Al

Balanced: 3, 1, 3, 1

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18. Rb + P → Rb₃P

Phosphorus is P₄ usually, but here it's written as P → assume atomic? But product is Rb₃P → so P=1

Left: Rb=?, P=1
Right: Rb=3, P=1

So Rb=3

Equation: 3Rb + 1P → 1Rb₃P

But phosphorus is typically P₄ — however, since problem writes "P", we'll go with it.

If it were P₄, we’d adjust — but as written, it’s fine.

Balanced: 3, 1, 1

Wait — actually, in reality, phosphorus is P₄, but the problem says “P”, so we treat it as monatomic for balancing purposes.

Alternatively, maybe typo? But let’s follow what’s written.

Actually, looking at #20: Rb + S₈ → Rb₂S — so they specify S₈, meaning elemental form.

Here it’s just “P” — probably should be P₄? But problem says “P”.

To be safe, let’s assume it’s P (monatomic) as written.

So: 3Rb + 1P → 1Rb₃P

Balanced: 3, 1, 1

But let me double-check common practice — usually phosphorus is P₄. However, since the problem didn’t write P₄, we’ll proceed as is.

Actually, looking ahead to #20: S₈ is specified, so for consistency, perhaps P should be P₄? But it’s not written.

I think we have to go with what’s given: “P”

So answer is 3,1,1

But let’s see if it makes sense — Rb₃P implies P has -3 charge, so one P atom.

Okay.

Balanced: 3, 1, 1

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19. Al(OH)₃ + H₂SO₄ → Al₂(SO₄)₃ + H₂O

Left: Al=1, O=3+4=7? Wait — Al(OH)₃: Al, 3O, 3H
H₂SO₄: 2H, S, 4O

Right: Al₂(SO₄)₃ → Al=2, S=3, O=12
H₂O: H=2, O=1

Need 2 Al → so 2 Al(OH)₃ → Al=2, O=6, H=6
Need 3 SO₄ → so 3 H₂SO₄ → H=6, S=3, O=12

Total left: Al=2, H=6+6=12, S=3, O=6+12=18

Right: Al₂(SO₄)₃ → Al=2, S=3, O=12
H₂O: need 6 H₂O → H=12, O=6 → total O=18

Equation: 2Al(OH)₃ + 3H₂SO₄ → 1Al₂(SO₄)₃ + 6H₂O

Balanced: 2, 3, 1, 6

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20. Rb + S₈ → Rb₂S

S₈ has 8 S atoms. Rb₂S has 1 S.

So need 8 Rb₂S → Rb=16, S=8

Left: S₈=1 → S=8
Rb=16

Equation: 16Rb + 1S₈ → 8Rb₂S

Balanced: 16, 1, 8

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21. CaSO₄ + KOH → Ca(OH)₂ + K₂SO₄

Double displacement.

Left: Ca=1, S=1, O=4+1=5? CaSO₄: Ca,S,4O; KOH: K,O,H

Right: Ca(OH)₂: Ca,2O,2H; K₂SO₄: 2K,S,4O

Need 2 K on right → so 2 KOH → K=2, O=2, H=2

Left: CaSO₄ + 2 KOH → Ca=1, S=1, O=4+2=6, K=2, H=2

Right: Ca(OH)₂ → Ca=1, O=2, H=2; K₂SO₄ → K=2, S=1, O=4 → total O=6

Equation: 1CaSO₄ + 2KOH → 1Ca(OH)₂ + 1K₂SO₄

Balanced: 1, 2, 1, 1

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22. FeBr₃ + Na → Fe + NaBr

Single displacement.

FeBr₃ → 3 Br → so 3 NaBr → need 3 Na

Equation: 1FeBr₃ + 3Na → 1Fe + 3NaBr

Balanced: 1, 3, 1, 3

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23. Al₄C₃ + H₂O → CH₄ + Al(OH)₃

Left: Al=4, C=3, H=2, O=1
Right: CH₄: C=1, H=4; Al(OH)₃: Al=1, O=3, H=3

Need 3 CH₄ → C=3, H=12
Need 4 Al(OH)₃ → Al=4, O=12, H=12

Total right: H=12+12=24, O=12

Left: Al₄C₃ + x H₂O → H=2x, O=x

Set 2x=24 → x=12 → O=12

Equation: 1Al₄C₃ + 12H₂O → 3CH₄ + 4Al(OH)₃

Check: Al=4, C=3, H=24, O=12 on both sides

Balanced: 1, 12, 3, 4

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24. Ba + HNO₃ → H₂ + Ba(NO₃)₂

Left: Ba=1, H=1, N=1, O=3
Right: H₂=2H, Ba(NO₃)₂: Ba=1, N=2, O=6

Need 2 H on left → 2 HNO₃ → H=2, N=2, O=6

Ba=1 on both sides

Equation: 1Ba + 2HNO₃ → 1H₂ + 1Ba(NO₃)₂

Check: Ba=1, H=2, N=2, O=6 on both sides

Balanced: 1, 2, 1, 1

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25. NH₄OH + HBr → H₂O + NH₄Br

Acid-base reaction.

Left: N=1, H=4+1+1=6? NH₄OH: N,5H,O; HBr: H,Br

Better: NH₄OH → N, 5H, O
HBr → H, Br

Total left: N=1, H=6, O=1, Br=1

Right: H₂O → H=2, O=1; NH₄Br → N=1, H=4, Br=1 → total H=6, O=1, N=1, Br=1

Already balanced.

Balanced: 1, 1, 1, 1

---

Now compiling all answers:

1. 1, 3, 1, 3
2. 1, 1, 1, 1
3. 10, 2, 6, 1
4. 2, 5, 2
5. 2, 3, 1, 6
6. 2, 1, 1, 2
7. 1, 1, 1
8. 4, 1, 2
9. 16, 3, 8
10. 6, 1, 2
11. 1, 1, 1
12. 10, 2, 6, 1
13. 2, 15, 12, 6
14. 1, 3, 2
15. 1, 1, 1
16. 1, 5, 3, 4
17. 3, 1, 3, 1
18. 3, 1, 1
19. 2, 3, 1, 6
20. 16, 1, 8
21. 1, 2, 1, 1
22. 1, 3, 1, 3
23. 1, 12, 3, 4
24. 1, 2, 1, 1
25. 1, 1, 1, 1

Final Answer:
1. 1, 3, 1, 3
2. 1, 1, 1, 1
3. 10, 2, 6, 1
4. 2, 5, 2
5. 2, 3, 1, 6
6. 2, 1, 1, 2
7. 1, 1, 1
8. 4, 1, 2
9. 16, 3, 8
10. 6, 1, 2
11. 1, 1, 1
12. 10, 2, 6, 1
13. 2, 15, 12, 6
14. 1, 3, 2
15. 1, 1, 1
16. 1, 5, 3, 4
17. 3, 1, 3, 1
18. 3, 1, 1
19. 2, 3, 1, 6
20. 16, 1, 8
21. 1, 2, 1, 1
22. 1, 3, 1, 3
23. 1, 12, 3, 4
24. 1, 2, 1, 1
25. 1, 1, 1, 1
Parent Tip: Review the logic above to help your child master the concept of chemistry balancing equations worksheet.
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