Answer :
Certainly! I'll provide a detailed step-by-step solution for balancing each of these chemical equations.
1. CH₄ + 2 O₂ → CO₂ + 2 H₂O
- Carbon (C): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Oxygen (O): 4 atoms on both sides (balanced).
2. 4 Fe + 3 O₂ → 2 Fe₂O₃
- Iron (Fe): 4 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
3. Mg + 2 HCl → MgCl₂ + H₂
- Magnesium (Mg): 1 atom on both sides (balanced).
- Hydrogen (H): 2 atoms on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
4. Fe₂O₃ + 3 H₂O → 2 Fe(OH)₃
- Iron (Fe): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
- Hydrogen (H): 6 atoms on both sides (balanced).
5. 2 NaOH + CuCl₂ → Cu(OH)₂ + 2 NaCl
- Sodium (Na): 2 atoms on both sides (balanced).
- Hydrogen (H): 2 atoms on both sides (balanced).
- Oxygen (O): 2 atoms on both sides (balanced).
- Copper (Cu): 1 atom on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
6. Cu + 4 HNO₃ → Cu(NO₃)₂ + 2 H₂O + 2 NO₂
- Copper (Cu): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Nitrogen (N): 4 atoms on both sides (balanced).
- Oxygen (O): 12 atoms on both sides (balanced).
7. C₆H₁₂ + 9 O₂ → 6 CO₂ + 6 H₂O
- Carbon (C): 6 atoms on both sides (balanced).
- Hydrogen (H): 12 atoms on both sides (balanced).
- Oxygen (O): 18 atoms on both sides (balanced).
8. Hg + 2 H₂SO₄ → HgSO₄ + 2 H₂O + SO₂
- Mercury (Hg): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Sulfur (S): 2 atoms on both sides (balanced).
- Oxygen (O): 8 atoms on both sides (balanced).
9. 2 Al + 3 H₂SO₄ → Al₂(SO₄)₃ + 3 H₂
- Aluminum (Al): 2 atoms on both sides (balanced).
- Hydrogen (H): 6 atoms on both sides (balanced).
- Sulfur (S): 3 atoms on both sides (balanced).
- Oxygen (O): 12 atoms on both sides (balanced).
10. 2 ZnS + 3 O₂ → 2 ZnO + 2 SO₂
- Zinc (Zn): 2 atoms on both sides (balanced).
- Sulfur (S): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
11. 4 HCl + MnO₂ → MnCl₂ + 2 H₂O + Cl₂
- Hydrogen (H): 4 atoms on both sides (balanced).
- Chlorine (Cl): 4 atoms on both sides (balanced).
- Manganese (Mn): 1 atom on both sides (balanced).
- Oxygen (O): 2 atoms on both sides (balanced).
12. 2 KClO₃ → 2 KCl + 3 O₂
- Potassium (K): 2 atoms on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
These are the balanced equations for each reaction, ensuring that the number of atoms of each element is equal on both sides of the equation.
1. CH₄ + 2 O₂ → CO₂ + 2 H₂O
- Carbon (C): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Oxygen (O): 4 atoms on both sides (balanced).
2. 4 Fe + 3 O₂ → 2 Fe₂O₃
- Iron (Fe): 4 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
3. Mg + 2 HCl → MgCl₂ + H₂
- Magnesium (Mg): 1 atom on both sides (balanced).
- Hydrogen (H): 2 atoms on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
4. Fe₂O₃ + 3 H₂O → 2 Fe(OH)₃
- Iron (Fe): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
- Hydrogen (H): 6 atoms on both sides (balanced).
5. 2 NaOH + CuCl₂ → Cu(OH)₂ + 2 NaCl
- Sodium (Na): 2 atoms on both sides (balanced).
- Hydrogen (H): 2 atoms on both sides (balanced).
- Oxygen (O): 2 atoms on both sides (balanced).
- Copper (Cu): 1 atom on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
6. Cu + 4 HNO₃ → Cu(NO₃)₂ + 2 H₂O + 2 NO₂
- Copper (Cu): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Nitrogen (N): 4 atoms on both sides (balanced).
- Oxygen (O): 12 atoms on both sides (balanced).
7. C₆H₁₂ + 9 O₂ → 6 CO₂ + 6 H₂O
- Carbon (C): 6 atoms on both sides (balanced).
- Hydrogen (H): 12 atoms on both sides (balanced).
- Oxygen (O): 18 atoms on both sides (balanced).
8. Hg + 2 H₂SO₄ → HgSO₄ + 2 H₂O + SO₂
- Mercury (Hg): 1 atom on both sides (balanced).
- Hydrogen (H): 4 atoms on both sides (balanced).
- Sulfur (S): 2 atoms on both sides (balanced).
- Oxygen (O): 8 atoms on both sides (balanced).
9. 2 Al + 3 H₂SO₄ → Al₂(SO₄)₃ + 3 H₂
- Aluminum (Al): 2 atoms on both sides (balanced).
- Hydrogen (H): 6 atoms on both sides (balanced).
- Sulfur (S): 3 atoms on both sides (balanced).
- Oxygen (O): 12 atoms on both sides (balanced).
10. 2 ZnS + 3 O₂ → 2 ZnO + 2 SO₂
- Zinc (Zn): 2 atoms on both sides (balanced).
- Sulfur (S): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
11. 4 HCl + MnO₂ → MnCl₂ + 2 H₂O + Cl₂
- Hydrogen (H): 4 atoms on both sides (balanced).
- Chlorine (Cl): 4 atoms on both sides (balanced).
- Manganese (Mn): 1 atom on both sides (balanced).
- Oxygen (O): 2 atoms on both sides (balanced).
12. 2 KClO₃ → 2 KCl + 3 O₂
- Potassium (K): 2 atoms on both sides (balanced).
- Chlorine (Cl): 2 atoms on both sides (balanced).
- Oxygen (O): 6 atoms on both sides (balanced).
These are the balanced equations for each reaction, ensuring that the number of atoms of each element is equal on both sides of the equation.