The principle of conservation of matter states that matter cannot be created or destroyed in a chemical reaction, meaning the total number of atoms of each element must be the same on both sides of the equation.
Let's analyze each option:
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6H2O + 6CO2 → C3H6O3 + 3O2
- Left side: 6 H2O = 12 H, 6 CO2 = 6 C + 12 O (total: 12 H, 6 C, 12 O)
- Right side: C3H6O3 = 3 C + 6 H + 3 O, 3 O2 = 6 O (total: 3 C, 6 H, 9 O)
- Not equal (12 H, 6 C, 12 O on left; 6 H, 3 C, 9 O on right).
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6H2O + 10CO2 → C6H12O6 + 4O2
- Left side: 6 H2O = 12 H, 10 CO2 = 10 C + 20 O (total: 12 H, 10 C, 20 O)
- Right side: C6H12O6 = 6 C + 12 H + 6 O, 4 O2 = 8 O (total: 6 C, 12 H, 14 O)
- Not equal (12 H, 10 C, 20 O on left; 12 H, 6 C, 14 O on right).
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3H2O + 3CO2 → C6H12O6 + 6O2
- Left side: 3 H2O = 6 H, 3 CO2 = 3 C + 6 O (total: 6 H, 3 C, 6 O)
- Right side: C6H12O6 = 6 C + 12 H + 6 O, 6 O2 = 12 O (total: 6 C, 12 H, 12 O)
- Not equal (6 H, 3 C, 6 O on left; 6 C, 12 H, 12 O on right).
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6H2O + 6CO2 → C6H12O6 + 6O2
- Left side: 6 H2O = 12 H, 6 CO2 = 6 C + 12 O (total: 12 H, 6 C, 12 O)
- Right side: C6H12O6 = 6 C + 12 H + 6 O, 6 O2 = 12 O (total: 6 C, 12 H, 12 O)
- This matches (12 H, 6 C, 12 O on both sides).
Thus, the equation that best represents conservation of matter is:
6H2O + 6CO2 → C6H12O6 + 6O2