Empirical and Molecular Formulas from Composition
Masses or percentages from an analysis give the simplest whole-number ratio of atoms, and one extra measurement of relative mass turns that ratio into the real formula. It is the calculation that connects what a balance reads to what a molecule is.
What a learner can do afterwards
- Convert masses or percentage composition into an empirical formula
- Scale an empirical formula to a molecular formula given the relative molecular mass
- Explain why two different compounds can share an empirical formula
1 · Read
A balance reads masses, but a formula counts atoms. You already know about moles. Change each mass into moles using its atomic mass. Use 12 for carbon, 1 for hydrogen, 16 for oxygen. Divide every value by the smallest one. If you get 1.5, multiply all numbers by 2. With percentages, pretend you hold 100 grams, so each percent becomes grams.
A sample holds 12 grams of carbon and 2 grams of hydrogen. Divide: 12 by 12 is 1 mole of carbon, and 2 by 1 is 2 moles of hydrogen. The ratio is 1 to 2. Divide by 1 to keep 1 and 2. The empirical formula, the simplest ratio, is CH2.
The simplest ratio is not always the true molecule. Hydrogen peroxide is H2O2, but its empirical formula is HO. Acetylene (C2H2) and benzene (C6H6) both reduce to CH. To scale up you need the molar mass. Divide it by the empirical mass to get whole number n, then multiply every subscript by n. CH2O has empirical mass 30. Molar mass 180 gives n of 6, so glucose is C6H12O6.
Work in the same order. Masses to moles, divide by the smallest, clear decimals, and write the empirical formula. Then find n from the molar mass and scale up. One ratio can hide two compounds, so a ratio alone never proves the molecule.
Masses give a ratio, the ratio gives the empirical formula, and molar mass scales it up.
2 · Watch
Take it off screen
Where it sits
Where this leads
Jobs that lean on this skill. Follow one to see everything it is built on.
8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.