1. Convert Mass Percentages to Grams:
* Assume you have 100 g of the compound. This means you have:
* 53.31 g Carbon
* 11.18 g Hydrogen
* 35.51 g Oxygen
2. Convert Grams to Moles:
* Divide the mass of each element by its molar mass:
* Carbon: 53.31 g / 12.01 g/mol = 4.44 mol
* Hydrogen: 11.18 g / 1.01 g/mol = 11.07 mol
* Oxygen: 35.51 g / 16.00 g/mol = 2.22 mol
3. Find the Simplest Mole Ratio:
* Divide each mole value by the smallest mole value (2.22 mol in this case):
* Carbon: 4.44 mol / 2.22 mol = 2
* Hydrogen: 11.07 mol / 2.22 mol = 5
* Oxygen: 2.22 mol / 2.22 mol = 1
4. Determine the Empirical Formula:
* The simplest whole-number ratio of the elements is C₂H₅O.
5. Calculate the Empirical Formula Mass:
* C₂H₅O: (2 x 12.01) + (5 x 1.01) + (1 x 16.00) = 45.07 g/mol
6. Find the Molecular Formula:
* Divide the given molar mass by the empirical formula mass:
* 90.122 g/mol / 45.07 g/mol ≈ 2
* Multiply the subscripts in the empirical formula by this factor (2):
* C₂H₅O x 2 = C₄H₁₀O₂
Therefore, the molecular formula of the compound is C₄H₁₀O₂.