To determine the chemical equation in which the number of atoms in the reactants is the same as the number of atoms in the products, we need to balance each equation and count the total number of atoms on both sides.
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Equation: \( \text{Zn} + 2\text{HCl} \rightarrow \text{H}_2 + \text{ZnCl}_2 \)
- Reactants:
- Zn: 1
- H: 2
- Cl: 2
- Total: 1 + 2 + 2 = 5 atoms
- Products:
- H: 2
- Zn: 1
- Cl: 2
- Total: 2 + 1 + 2 = 5 atoms
- Conclusion: Balanced (5 atoms on both sides).
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Equation: \( \text{CH}_4 + \text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O} \)
- Reactants:
- C: 1
- H: 4
- O: 2
- Total: 1 + 4 + 2 = 7 atoms
- Products:
- C: 1
- H: 4
- O: 3
- Total: 1 + 4 + 3 = 8 atoms
- Conclusion: Not balanced.
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Equation: \( \text{CO}_2 + \text{H}_2\text{O} \rightarrow \text{CH}_2\text{OH} + \text{O}_2 \)
- Reactants:
- C: 1
- O: 3
- H: 2
- Total: 1 + 3 + 2 = 6 atoms
- Products:
- C: 1
- H: 2
- O: 3
- Total: 1 + 2 + 3 = 6 atoms
- Conclusion: Balanced (6 atoms on both sides).
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Equation: \( \text{Li}_2\text{CO}_3 \rightarrow \text{LiO} + \text{CO}_2 \)
- Reactants:
- Li: 2
- C: 1
- O: 3
- Total: 2 + 1 + 3 = 6 atoms
- Products:
- Li: 1
- C: 1
- O: 3
- Total: 1 + 1 + 3 = 5 atoms
- Conclusion: Not balanced.
Final Conclusion:
The balanced chemical equations where the number of atoms in the reactants is the same as the number of atoms in the products are:
- \( \text{Zn} + 2\text{HCl} \rightarrow \text{H}_2 + \text{ZnCl}_2 \)
- \( \text{CO}_2 + \text{H}_2\text{O} \rightarrow \text{CH}_2\text{OH} + \text{O}_2 \)
If a single answer is required, you may choose either of the first two.
Correct answers:
- 1st option: \( \text{Zn} + 2\text{HCl} \rightarrow \text{H}_2 + \text{ZnCl}_2 \)
- 3rd option: \( \text{CO}_2 + \text{H}_2\text{O} \rightarrow \text{CH}_2\text{OH} + \text{O}_2 \)