Let's analyze each option and determine if the equation is balanced:
A. [tex]\( NaClO_3 \rightarrow NaCl + 3 O_2 \)[/tex]
- Atoms of Na: 1 on the left, 1 on the right
- Atoms of Cl: 1 on the left, 1 on the right
- Atoms of O: 3 on the left, [tex]\(3 \times 2 = 6\)[/tex] on the right
- This equation is not balanced, as the number of oxygen atoms is not equal on both sides.
B. [tex]\( 2 HgO \rightarrow 2 Hg + O_2 \)[/tex]
- Atoms of Hg: 2 on the left, 2 on the right
- Atoms of O: [tex]\(2 \times 1 = 2\)[/tex] on the left, [tex]\(2 \times 1 = 2\)[/tex] on the right
- This equation is balanced.
C. [tex]\( 2 ZnS + O_2 \rightarrow 2 ZnO + 2 SO_2 \)[/tex]
- Atoms of Zn: 2 on the left, 2 on the right
- Atoms of S: 2 on the left, 2 on the right
- Atoms of O: [tex]\(2 \times 1 = 2\)[/tex] on the left, [tex]\(2 \times (1 + 2) = 6\)[/tex] on the right
- This equation is not balanced, as the number of oxygen atoms is not equal on both sides.
D. [tex]\( 4 CO + Fe_3O_4 \rightarrow 4 CO_2 + 3 Fe \)[/tex]
- Atoms of C: 4 on the left, 4 on the right
- Atoms of O: [tex]\(4 \times 1 = 4\)[/tex] on the left + 4 in [tex]\(Fe_3O_4\)[/tex], total of 8 on the left; [tex]\(4 \times 2 = 8\)[/tex] on the right
- Atoms of Fe: 3 on the left, 3 on the right
- This equation is balanced.
E. [tex]\( 2 Fe + 2 Cl_2 \rightarrow 2 FeCl_3 \)[/tex]
- Atoms of Fe: 2 on the left, 2 on the right
- Atoms of Cl: [tex]\(2 \times 2 = 4\)[/tex] on the left, [tex]\(2 \times 3 = 6\)[/tex] on the right
- This equation is not balanced, as the number of chlorine atoms is not equal on both sides.
Based on the analysis, the correct answer is:
D. [tex]\( 4 CO + Fe_3O_4 \rightarrow 4 CO_2 + 3 Fe \)[/tex]
