To determine which compound has an empirical formula with the ratio [tex]\(1:1:3\)[/tex], we need to analyze the composition of each given chemical formula.
1. [tex]$CCl_3$[/tex]
- Comprises of:
- Carbon (C): 1 atom
- Chlorine (Cl): 3 atoms
- The ratio here is [tex]\(1 \text{ C } : 3 \text{ Cl}\)[/tex], which matches [tex]\(1:3\)[/tex] but lacks the second “1” for the middle element.
2. [tex]$CFCl_3$[/tex]
- Comprises of:
- Carbon (C): 1 atom
- Fluorine (F): 1 atom
- Chlorine (Cl): 3 atoms
- The ratio here is [tex]\(1 \text{ C } : 1 \text{ F } : 3 \text{ Cl}\)[/tex], which perfectly matches the [tex]\(1:1:3\)[/tex] ratio.
3. [tex]$FeS_3$[/tex]
- Comprises of:
- Iron (Fe): 1 atom
- Sulfur (S): 3 atoms
- The ratio here is [tex]\(1 \text{ Fe } : 3 \text{ S}\)[/tex], which corresponds to [tex]\(1:3\)[/tex] but lacks the second “1”.
4. [tex]$K_3CO_3$[/tex]
- Comprises of:
- Potassium (K): 3 atoms
- Carbon (C): 1 atom
- Oxygen (O): 3 atoms
- The ratio here is [tex]\(3 \text{ K } : 1 \text{ C } : 3 \text{ O}\)[/tex], which corresponds to [tex]\(3:1:3\)[/tex], not [tex]\(1:1:3\)[/tex].
Thus, from the analysis of these chemical formulas, the only compound that has the empirical formula matching the ratio [tex]\(1:1:3\)[/tex] is:
[tex]$CFCl_3$[/tex]
Hence, the correct answer is:
2. [tex]$CFCl_3$[/tex]
