#### Learning Objective

- Translate between a molecular formula of a compound and its percent composition by mass

#### Key Points

- The atomic composition of chemical compounds can be described in a variety of ways, including molecular formulas and percent composition.
- The percent composition of a compound is calculated with the molecular formula: divide the mass of each element found in one mole of the compound by the total molar mass of the compound.
- The percent composition of a compound can be measured experimentally, and these values can be used to determine the empirical formula of a compound.

#### Term

- percent by massThe fraction, by weight, of one element of a compound.

The atomic composition of chemical compounds can be described using a variety of notations including molecular, empirical, and structural formulas. Another convenient way to describe atomic composition is to examine the percent composition of a compound by mass.

## Percent Composition by Mass

Percent composition is calculated from a molecular formula by dividing the mass of a single element in one mole of a compound by the mass of one mole of the entire compound. This value is presented as a percentage.

For example, butane has a molecular formula of C_{4}H_{10}. Butane’s percent composition can be calculated as follows:

- Mass of H per mol butane: [latex]10\:mol\:H \cdot \frac{1.00794\:g}{1\:mol\: H} = 10.079\:g\:H[/latex]
- Mass of C per mol butane: [latex]4\:mol\:C\cdot\frac{12.011\:g\:C}{1\:mol\:C}=48.044\:g\:C[/latex]
- Mass percent H in butane: [latex]\frac{10.079\:g\:H}{58.123\:g\:butane} \cdot 100[/latex] = 17.3% H
- Mass percent C in butane: [latex]\frac {48.044\:g \:C}{ 58.123 \:g \:butane} \cdot 100[/latex] = 82.7% C

Therefore, the atomic composition of butane can also be described as 17.3% hydrogen and 82.7% carbon, and, as expected, these values sum to 100%.

In practice, this calculation is often reversed. Mass percents can be determined experimentally via elemental analysis, and these values can be used to calculate the empirical formula of unknown compounds. However, this information is insufficient to determine the molecular formula without additional information on the compound’s molecular weight.