To determine which chemical equation has the same number of atoms in the reactants as in the products, we must balance each equation and count the number of atoms of each element on both sides.
-
CH₄ + O₂ → CO₂ + 2H₂O
- Reactants: C(1) + H(4) + O(2) = 1 + 4 + 2 = 7 atoms
- Products: C(1) + H(4) + O(2) = 1 + 4 + 2 = 7 atoms
- The equation is balanced.
-
Zn + 2HCl → H₂ + ZnCl₂
- Reactants: Zn(1) + H(2) + Cl(2) = 1 + 2 + 2 = 5 atoms
- Products: H(2) + Zn(1) + Cl(2) = 2 + 1 + 2 = 5 atoms
- The equation is balanced.
-
CO₂ + H₂O → CH₂OH + O₂
- Reactants: C(1) + O(3) + H(2) = 1 + 3 + 2 = 6 atoms
- Products: C(1) + O(3) + H(2) = 1 + 3 + 2 = 6 atoms
- The equation is balanced.
-
Li₂CO₃ → LiO + CO₂
- Reactants: Li(2) + C(1) + O(3) = 2 + 1 + 3 = 6 atoms
- Products: Li(1) + O(1) + C(1) + O(2) = 1 + 1 + 1 + 2 = 5 atoms
- The equation is not balanced.
From the first three equations, both CH₄ + O₂ → CO₂ + 2H₂O and Zn + 2HCl → H₂ + ZnCl₂ have balanced the number of atoms on both sides.
However, all of these three options list two balanced equations. Still, to specify which statement is entirely satisfactory given the number of atoms matches exactly in a reaction, we can conclude that:
Both CH₄ + O₂ → CO₂ + 2H₂O and Zn + 2HCl → H₂ + ZnCl₂ maintain the number of atoms in reactants equal to that of products.
If only one response is needed without ambiguity on the instruction, any of the first two responses suffice as correctly balanced equations.