49 Balancing Chemical Equations Worksheets [with Answers] - Free Printable
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Step-by-step solution for: 49 Balancing Chemical Equations Worksheets [with Answers]
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Show Answer Key & Explanations
Step-by-step solution for: 49 Balancing Chemical Equations Worksheets [with Answers]
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.
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1. CH₄ + O₂ → CO₂ + H₂O
Left: C=1, H=4, O=2
Right: C=1, H=2, O=3 (2 from CO₂ + 1 from H₂O)
→ Start with H: 4 on left, so need 2 H₂O on right → now H=4, O=2+2=4 on right
→ Now O: 4 on right, so need 2 O₂ on left → O=4
Balanced: 1 CH₄ + 2 O₂ → 1 CO₂ + 2 H₂O
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2. Na⁺ + Cl⁻ → NaCl
This is already balanced — 1 Na and 1 Cl on each side.
Balanced: 1 Na⁺ + 1 Cl⁻ → 1 NaCl
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3. Al + O₂ → Al₂O₃
Left: Al=1, O=2
Right: Al=2, O=3
→ Find LCM for O: 6 → use 3 O₂ (gives 6 O) and 2 Al₂O₃ (also gives 6 O)
→ Now Al: 4 on right → need 4 Al on left
Balanced: 4 Al + 3 O₂ → 2 Al₂O₃
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4. N₂⁺ + H₂ → NH₃
Wait — N₂⁺? That’s unusual. Probably a typo — should be N₂ (neutral). Let’s assume it’s N₂.
N₂ + H₂ → NH₃
Left: N=2, H=2
Right: N=1, H=3
→ Make N equal: 2 NH₃ → now N=2, H=6
→ Need 3 H₂ to get 6 H
Balanced: 1 N₂ + 3 H₂ → 2 NH₃
*(If it really is N₂⁺, we’d have to account for charge — but in basic balancing, we usually ignore charges unless specified. Since product is neutral NH₃, likely typo. We’ll proceed with N₂.)*
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5. CO(g) + H₂(g) → C₈H₁₈(l) + H₂O
Left: C=1, O=1, H=2
Right: C=8, H=18+2=20, O=1
→ Need 8 CO for 8 C → now O=8 → need 8 H₂O for 8 O → now H from water = 16
→ Total H needed on right: 18 (from C₈H₁₈) + 16 (from 8 H₂O) = 34 H → so need 17 H₂ on left
Check:
Left: 8 CO → 8C, 8O; 17 H₂ → 34H
Right: 1 C₈H₁₈ → 8C, 18H; 8 H₂O → 16H, 8O → total H=34, O=8, C=8 ✔
Balanced: 8 CO + 17 H₂ → 1 C₈H₁₈ + 8 H₂O
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6. FeO₃(s) + CO(g) → Fe(l) + CO₂(g)
Wait — FeO₃? Iron doesn’t form FeO₃. Common iron oxides are FeO or Fe₂O₃. Likely typo — probably Fe₂O₃.
Assume: Fe₂O₃ + CO → Fe + CO₂
Left: Fe=2, O=3+1=4? Wait — Fe₂O₃ has 3 O, CO has 1 O per molecule.
Better to write:
Fe₂O₃ + CO → Fe + CO₂
Balance Fe: 2 Fe on right → 2 Fe
Balance O: Fe₂O₃ has 3 O, each CO takes one O to become CO₂ → so need 3 CO to take 3 O → makes 3 CO₂
Now check C: 3 on left, 3 on right ✔
Balanced: 1 Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂
*(Note: Original said FeO₃ — if taken literally, it would be FeO₃ + CO → Fe + CO₂ → then Fe=1, O=4 on left, O=2 on right → not possible without changing formulas. So definitely typo — standard reaction uses Fe₂O₃.)*
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7. H₂SO₄ + Pb(OH)₄ → Pb(SO₄)₂ + H₂O
Left: H=2+4=6, S=1, O=4+4=8, Pb=1
Right: Pb=1, S=2, O=8+1=9? Wait — Pb(SO₄)₂ has 2 SO₄ → 2 S, 8 O; plus H₂O → 1 O and 2 H → total O=9, H=2
Not matching.
Actually, Pb(OH)₄ has Pb⁴⁺, so sulfate should be Pb(SO₄)₂ — correct.
But H₂SO₄ provides 2 H⁺ and SO₄²⁻. To make Pb(SO₄)₂, need 2 SO₄ → so 2 H₂SO₄.
Try: 2 H₂SO₄ + Pb(OH)₄ → Pb(SO₄)₂ + H₂O
Left: H=4+4=8, S=2, O=8+4=12, Pb=1
Right: Pb=1, S=2, O=8 (from sulfates) + ? from water → need to balance H and O.
H on left: 8 → so need 4 H₂O on right → that’s 8 H and 4 O → total O on right: 8 (sulfate) + 4 (water) = 12 ✔
Balanced: 2 H₂SO₄ + 1 Pb(OH)₄ → 1 Pb(SO₄)₂ + 4 H₂O
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8. Al + HCl → AlCl₃ + H₂
Left: Al=1, H=1, Cl=1
Right: Al=1, Cl=3, H=2
→ Need 3 Cl on left → 3 HCl → now H=3, Cl=3
→ Right: H₂ has 2 H → need even H → try 2 AlCl₃ → needs 6 Cl → so 6 HCl → H=6 → need 3 H₂
Then Al: 2 on right → 2 Al on left
Balanced: 2 Al + 6 HCl → 2 AlCl₃ + 3 H₂
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9. Ca₃(PO₄)₂ + H₂SO₄ → CaSO₄ + Ca(H₂PO₄)₂
Left: Ca=3, P=2, O=8+4=12? Wait — Ca₃(PO₄)₂ has 3 Ca, 2 P, 8 O; H₂SO₄ has 2H, S, 4O
Right: CaSO₄ has Ca, S, 4O; Ca(H₂PO₄)₂ has Ca, 4H, 2P, 8O
Total right: Ca=1+1=2, S=1, P=2, H=4, O=4+8=12
Left: Ca=3, P=2, H=2, S=1, O=8+4=12
Ca mismatch: 3 vs 2
Try coefficients:
Let’s say: 1 Ca₃(PO₄)₂ + x H₂SO₄ → y CaSO₄ + z Ca(H₂PO₄)₂
Ca: 3 = y + z
P: 2 = 2z → so z=1 → then y=2
S: x = y = 2
H: 2x = 4z → 2*2=4, 4*1=4 ✔
O: check later — should work.
So: 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
Check atoms:
Left: Ca=3, P=2, H=4, S=2, O=8 (phosphate) + 8 (sulfuric) = 16? Wait — Ca₃(PO₄)₂: PO₄ is 4 O each → 2×4=8 O; H₂SO₄: 4 O each → 2×4=8 O → total O=16
Right: 2 CaSO₄ → 2×4=8 O; Ca(H₂PO₄)₂ → 2×4=8 O (since two H₂PO₄ groups, each has 4 O) → total O=16 ✔
H: left 4, right: Ca(H₂PO₄)₂ has 4 H ✔
Perfect.
Balanced: 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
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10. H₃PO₄ + HCl → PCl₅ + H₂O
Left: H=3+1=4, P=1, O=4, Cl=1
Right: P=1, Cl=5, H=2, O=1
→ Need 5 Cl on left → 5 HCl → now H=3+5=8, Cl=5
→ Right: PCl₅ ok, H₂O → need 4 H₂O to use 8 H → then O=4 on right → matches left O=4
Balanced: 1 H₃PO₄ + 5 HCl → 1 PCl₅ + 4 H₂O
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Final Answer:
1. 1 CH₄ + 2 O₂ → 1 CO₂ + 2 H₂O
2. 1 Na⁺ + 1 Cl⁻ → 1 NaCl
3. 4 Al + 3 O₂ → 2 Al₂O₃
4. 1 N₂ + 3 H₂ → 2 NH₃ *(assuming N₂ instead of N₂⁺)*
5. 8 CO + 17 H₂ → 1 C₈H₁₈ + 8 H₂O
6. 1 Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂ *(assuming Fe₂O₃ instead of FeO₃)*
7. 2 H₂SO₄ + 1 Pb(OH)₄ → 1 Pb(SO₄)₂ + 4 H₂O
8. 2 Al + 6 HCl → 2 AlCl₃ + 3 H₂
9. 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
10. 1 H₃PO₄ + 5 HCl → 1 PCl₅ + 4 H₂O
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1. CH₄ + O₂ → CO₂ + H₂O
Left: C=1, H=4, O=2
Right: C=1, H=2, O=3 (2 from CO₂ + 1 from H₂O)
→ Start with H: 4 on left, so need 2 H₂O on right → now H=4, O=2+2=4 on right
→ Now O: 4 on right, so need 2 O₂ on left → O=4
Balanced: 1 CH₄ + 2 O₂ → 1 CO₂ + 2 H₂O
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2. Na⁺ + Cl⁻ → NaCl
This is already balanced — 1 Na and 1 Cl on each side.
Balanced: 1 Na⁺ + 1 Cl⁻ → 1 NaCl
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3. Al + O₂ → Al₂O₃
Left: Al=1, O=2
Right: Al=2, O=3
→ Find LCM for O: 6 → use 3 O₂ (gives 6 O) and 2 Al₂O₃ (also gives 6 O)
→ Now Al: 4 on right → need 4 Al on left
Balanced: 4 Al + 3 O₂ → 2 Al₂O₃
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4. N₂⁺ + H₂ → NH₃
Wait — N₂⁺? That’s unusual. Probably a typo — should be N₂ (neutral). Let’s assume it’s N₂.
N₂ + H₂ → NH₃
Left: N=2, H=2
Right: N=1, H=3
→ Make N equal: 2 NH₃ → now N=2, H=6
→ Need 3 H₂ to get 6 H
Balanced: 1 N₂ + 3 H₂ → 2 NH₃
*(If it really is N₂⁺, we’d have to account for charge — but in basic balancing, we usually ignore charges unless specified. Since product is neutral NH₃, likely typo. We’ll proceed with N₂.)*
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5. CO(g) + H₂(g) → C₈H₁₈(l) + H₂O
Left: C=1, O=1, H=2
Right: C=8, H=18+2=20, O=1
→ Need 8 CO for 8 C → now O=8 → need 8 H₂O for 8 O → now H from water = 16
→ Total H needed on right: 18 (from C₈H₁₈) + 16 (from 8 H₂O) = 34 H → so need 17 H₂ on left
Check:
Left: 8 CO → 8C, 8O; 17 H₂ → 34H
Right: 1 C₈H₁₈ → 8C, 18H; 8 H₂O → 16H, 8O → total H=34, O=8, C=8 ✔
Balanced: 8 CO + 17 H₂ → 1 C₈H₁₈ + 8 H₂O
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6. FeO₃(s) + CO(g) → Fe(l) + CO₂(g)
Wait — FeO₃? Iron doesn’t form FeO₃. Common iron oxides are FeO or Fe₂O₃. Likely typo — probably Fe₂O₃.
Assume: Fe₂O₃ + CO → Fe + CO₂
Left: Fe=2, O=3+1=4? Wait — Fe₂O₃ has 3 O, CO has 1 O per molecule.
Better to write:
Fe₂O₃ + CO → Fe + CO₂
Balance Fe: 2 Fe on right → 2 Fe
Balance O: Fe₂O₃ has 3 O, each CO takes one O to become CO₂ → so need 3 CO to take 3 O → makes 3 CO₂
Now check C: 3 on left, 3 on right ✔
Balanced: 1 Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂
*(Note: Original said FeO₃ — if taken literally, it would be FeO₃ + CO → Fe + CO₂ → then Fe=1, O=4 on left, O=2 on right → not possible without changing formulas. So definitely typo — standard reaction uses Fe₂O₃.)*
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7. H₂SO₄ + Pb(OH)₄ → Pb(SO₄)₂ + H₂O
Left: H=2+4=6, S=1, O=4+4=8, Pb=1
Right: Pb=1, S=2, O=8+1=9? Wait — Pb(SO₄)₂ has 2 SO₄ → 2 S, 8 O; plus H₂O → 1 O and 2 H → total O=9, H=2
Not matching.
Actually, Pb(OH)₄ has Pb⁴⁺, so sulfate should be Pb(SO₄)₂ — correct.
But H₂SO₄ provides 2 H⁺ and SO₄²⁻. To make Pb(SO₄)₂, need 2 SO₄ → so 2 H₂SO₄.
Try: 2 H₂SO₄ + Pb(OH)₄ → Pb(SO₄)₂ + H₂O
Left: H=4+4=8, S=2, O=8+4=12, Pb=1
Right: Pb=1, S=2, O=8 (from sulfates) + ? from water → need to balance H and O.
H on left: 8 → so need 4 H₂O on right → that’s 8 H and 4 O → total O on right: 8 (sulfate) + 4 (water) = 12 ✔
Balanced: 2 H₂SO₄ + 1 Pb(OH)₄ → 1 Pb(SO₄)₂ + 4 H₂O
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8. Al + HCl → AlCl₃ + H₂
Left: Al=1, H=1, Cl=1
Right: Al=1, Cl=3, H=2
→ Need 3 Cl on left → 3 HCl → now H=3, Cl=3
→ Right: H₂ has 2 H → need even H → try 2 AlCl₃ → needs 6 Cl → so 6 HCl → H=6 → need 3 H₂
Then Al: 2 on right → 2 Al on left
Balanced: 2 Al + 6 HCl → 2 AlCl₃ + 3 H₂
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9. Ca₃(PO₄)₂ + H₂SO₄ → CaSO₄ + Ca(H₂PO₄)₂
Left: Ca=3, P=2, O=8+4=12? Wait — Ca₃(PO₄)₂ has 3 Ca, 2 P, 8 O; H₂SO₄ has 2H, S, 4O
Right: CaSO₄ has Ca, S, 4O; Ca(H₂PO₄)₂ has Ca, 4H, 2P, 8O
Total right: Ca=1+1=2, S=1, P=2, H=4, O=4+8=12
Left: Ca=3, P=2, H=2, S=1, O=8+4=12
Ca mismatch: 3 vs 2
Try coefficients:
Let’s say: 1 Ca₃(PO₄)₂ + x H₂SO₄ → y CaSO₄ + z Ca(H₂PO₄)₂
Ca: 3 = y + z
P: 2 = 2z → so z=1 → then y=2
S: x = y = 2
H: 2x = 4z → 2*2=4, 4*1=4 ✔
O: check later — should work.
So: 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
Check atoms:
Left: Ca=3, P=2, H=4, S=2, O=8 (phosphate) + 8 (sulfuric) = 16? Wait — Ca₃(PO₄)₂: PO₄ is 4 O each → 2×4=8 O; H₂SO₄: 4 O each → 2×4=8 O → total O=16
Right: 2 CaSO₄ → 2×4=8 O; Ca(H₂PO₄)₂ → 2×4=8 O (since two H₂PO₄ groups, each has 4 O) → total O=16 ✔
H: left 4, right: Ca(H₂PO₄)₂ has 4 H ✔
Perfect.
Balanced: 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
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10. H₃PO₄ + HCl → PCl₅ + H₂O
Left: H=3+1=4, P=1, O=4, Cl=1
Right: P=1, Cl=5, H=2, O=1
→ Need 5 Cl on left → 5 HCl → now H=3+5=8, Cl=5
→ Right: PCl₅ ok, H₂O → need 4 H₂O to use 8 H → then O=4 on right → matches left O=4
Balanced: 1 H₃PO₄ + 5 HCl → 1 PCl₅ + 4 H₂O
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Final Answer:
1. 1 CH₄ + 2 O₂ → 1 CO₂ + 2 H₂O
2. 1 Na⁺ + 1 Cl⁻ → 1 NaCl
3. 4 Al + 3 O₂ → 2 Al₂O₃
4. 1 N₂ + 3 H₂ → 2 NH₃ *(assuming N₂ instead of N₂⁺)*
5. 8 CO + 17 H₂ → 1 C₈H₁₈ + 8 H₂O
6. 1 Fe₂O₃ + 3 CO → 2 Fe + 3 CO₂ *(assuming Fe₂O₃ instead of FeO₃)*
7. 2 H₂SO₄ + 1 Pb(OH)₄ → 1 Pb(SO₄)₂ + 4 H₂O
8. 2 Al + 6 HCl → 2 AlCl₃ + 3 H₂
9. 1 Ca₃(PO₄)₂ + 2 H₂SO₄ → 2 CaSO₄ + 1 Ca(H₂PO₄)₂
10. 1 H₃PO₄ + 5 HCl → 1 PCl₅ + 4 H₂O
Parent Tip: Review the logic above to help your child master the concept of balancing chemical equations worksheet 2 answer key.