Asbestosis is a lung disease caused by inhaling asbestos...

Asbestosis is a lung disease caused by inhaling asbestos fibers. In addition, fiber from a form of asbestos called chrysotile is considered to be a human carcinogen by the U.S. Department of Health and Human Services. Chrysotile's composition is $26.31 \%$ magnesium, $20.20 \%$ silicon, and $1.45 \%$ hydrogen with the remainder of the mass as oxygen. Determine the empirical formula of chrysotile.

Key Concepts

Conversion from Mass to Moles

This process involves using the atomic masses of the elements to convert mass (or percent by mass) data into moles. The number of moles is found by dividing the mass of each element by its atomic weight. This conversion is crucial for comparing the relative number of atoms of each element and ultimately deducing their simplest ratio.

Mole Ratio Calculation

Once the masses of the elements are known from the percent composition, the next step is to convert these masses into moles by dividing by the respective atomic masses. The mole ratio is then calculated by dividing all the moles by the smallest number of moles present among the elements, which helps to achieve the simplest whole-number ratio.

Oxygen as the Balancing Element

In many compounds, after the percentages of some elements are provided, the remainder of the composition is attributed to oxygen or another balancing element. Recognizing that oxygen makes up the rest of the compound allows for the complete determination of the compound’s empirical formula by incorporating its calculated amount in conjunction with the other elements.

Empirical Formula

The empirical formula represents the simplest whole-number ratio of atoms present in a compound. It is determined by converting the percent composition of each element to moles, then simplifying the ratio of these moles to their smallest whole numbers. This concept is key in chemistry to understand the basic building blocks of a compound regardless of its complexity.

Percent Composition

Percent composition refers to the percentage by mass of each element in a compound. It is a critical concept because it provides the starting point for determining the relative amounts of each element when calculating the empirical formula. From the given percentages and the known total mass, one can deduce the mass contributed by each element.

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