1. Determine the Mass of Oxygen
* The mass of oxygen that reacted with the iron is the difference between the mass of the oxide and the mass of the iron:
* Mass of oxygen = 118.37 g - 85.65 g = 32.72 g
2. Convert Masses to Moles
* Iron (Fe):
* Molar mass of Fe = 55.845 g/mol
* Moles of Fe = (85.65 g) / (55.845 g/mol) = 1.534 mol
* Oxygen (O):
* Molar mass of O = 16.00 g/mol
* Moles of O = (32.72 g) / (16.00 g/mol) = 2.045 mol
3. Determine the Empirical Formula
* Divide the number of moles of each element by the smallest number of moles to get the simplest whole-number ratio:
* Fe: 1.534 mol / 1.534 mol = 1
* O: 2.045 mol / 1.534 mol = 1.33
* Since we need whole numbers, multiply both ratios by 3 to get:
* Fe: 3
* O: 4
4. The Empirical Formula
* The empirical formula of the iron oxide is Fe₃O₄.
Note: This is the formula for a specific iron oxide called magnetite.