To determine which molecular formula corresponds to the given model with black representing carbon, red representing oxygen, and white representing hydrogen, let’s analyze each given option:
1. Option: [tex]\( C_2(OH)_4 \)[/tex]
- This formula indicates 2 carbon atoms.
- The [tex]\((OH)_4\)[/tex] indicates four hydroxyl groups, each consisting of 1 oxygen and 1 hydrogen atom.
- Hence, this results in:
- 2 Carbons (C)
- 4 Oxygens (O)
- 4 Hydrogens (H)
- The final molecular formula is [tex]\( C_2O_4H_4 \)[/tex].
2. Option: [tex]\( C_2H_2O_4 \)[/tex]
- This formula indicates 2 carbon atoms.
- 4 oxygen atoms.
- 2 hydrogen atoms.
- Hence, this results in:
- 2 Carbons (C)
- 4 Oxygens (O)
- 2 Hydrogens (H)
- The final molecular formula is [tex]\( C_2O_4H_2 \)[/tex].
3. Option: [tex]\( C_2H_4O_2 \)[/tex]
- This formula indicates 2 carbon atoms.
- 2 oxygen atoms.
- 4 hydrogen atoms.
- Hence, this results in:
- 2 Carbons (C)
- 2 Oxygens (O)
- 4 Hydrogens (H)
- The final molecular formula is [tex]\( C_2O_2H_4 \)[/tex].
4. Option: [tex]\( C_4H_2O_2 \)[/tex]
- This formula indicates 4 carbon atoms.
- 2 oxygen atoms.
- 2 hydrogen atoms.
- Hence, this results in:
- 4 Carbons (C)
- 2 Oxygens (O)
- 2 Hydrogens (H)
- The final molecular formula is [tex]\( C_4O_2H_2 \)[/tex].
After analyzing all the given options, it is clear that the molecular formula [tex]\( C_2H_4O_2 \)[/tex] most accurately describes the distribution given in the question. Therefore, the correct molecular formula corresponding to the model is:
[tex]\[ C_2H_4O_2 \][/tex]
Thus, the correct answer is option 3.
