How to calculate molar mass without losing an atom
Molar mass turns the atom counts in a chemical formula into the mass of one mole. The reliable method has three moves: count, multiply, add. For H2O, count two hydrogen atoms and one oxygen atom. Multiply 2 × 1.0080 for hydrogen and 1 × 15.999 for oxygen, then add 2.016 + 15.999. The result is 18.015 g/mol.
The arithmetic is usually the easy part. Most wrong answers begin one step earlier, when a subscript is applied to too few or too many atoms. Work from the innermost group outward and write the expanded atom count before touching a calculator.
- List each element once. Preserve the order in which it first appears so the work is easy to compare with the original formula.
- Expand every group. In Al2(SO4)3, the outside 3 gives three sulfur atoms and twelve oxygen atoms. Aluminium keeps its separate subscript of 2.
- Multiply count by atomic weight. The contribution column records this step for every element.
- Add contributions before rounding. Keeping the displayed precision until the end avoids a small drift across a formula with several elements.
A useful classroom routine is to have students submit the expanded counts first. Once Al2S3O12 is correct, the remaining calculation becomes a check of multiplication and addition rather than a second test of notation.