To form binary ionic compounds, we combine cations with anions in a way that the total positive charge equals the total negative charge. Here’s how we can derive the empirical formulas for four compounds using Fe²⁺, Al³⁺, Cl⁻, and S²⁻:
- Iron(II) Chloride (FeCl2)
Combining one Fe²⁺ ion with two Cl⁻ ions balances the charges:
2(-1) + (+2) = 0
- Aluminum Chloride (AlCl3)
One Al³⁺ ion combines with three Cl⁻ ions, achieving charge balance as follows:
3(-1) + (+3) = 0
- Iron(II) Sulfide (FeS)
Here, one Fe²⁺ ion combines with one S²⁻ ion:
(-2) + (+2) = 0
- Aluminum Sulfide (Al2S3)
Two Al³⁺ ions are needed to balance with three S²⁻ ions:
3(-2) + 2(+3) = 0
In summary, the empirical formulas for the compounds formed are FeCl2, AlCl3, FeS, and Al2S3.