1. Assume a 100-gram sample of the compound. This means that we have 60.3 grams of magnesium and 39.7 grams of oxygen.
2. Convert the masses to moles using the respective molar masses:
- Molar mass of Mg = 24.305 g/mol
- Molar mass of O = 16.00 g/mol
Moles of Mg = 60.3 g / 24.305 g/mol = 2.48 mol
Moles of O = 39.7 g / 16.00 g/mol = 2.48 mol
3. Determine the mole ratio by dividing the moles of each element by the smallest number of moles:
Mole ratio of Mg: 2.48 mol / 2.48 mol = 1
Mole ratio of O: 2.48 mol / 2.48 mol = 1
4. Write the empirical formula using the mole ratios as subscripts:
Empirical formula: MgO
Therefore, the empirical formula of the compound is MgO.