A particular coal contains 2.55% sulfur by mass. When the...

A particular coal contains 2.55$\%$ sulfur by mass. When the coal is burned, it produces $S O_{2}$ emissions, which combine with rain-water to produce sulfuric acid. Use the formula of sulfuric acid to calculate the mass percent of $S$ in sulfuric acid. Then determine how much sulfuric acid (in metric tons) is produced by the combustion of 1.0 metric ton of this coal. (A metric ton is 1000 $\mathrm{kg.}$ .

Key Concepts

Percent Composition

Percent composition is a method used to determine the mass percentage of each element within a compound. By calculating the ratio of the mass of a specific element to the total molecular mass of the compound and multiplying by 100, one can determine how much of the compound's mass is contributed by that element. This concept is fundamental in chemical analysis and is widely used in fields such as analytical chemistry and materials science.

Molar Mass Calculation

Calculating the molar mass of a compound involves summing the atomic masses of all constituent atoms as given by the periodic table. This is crucial for determining the quantitative relationships between reactants and products in chemical reactions. Understanding molar mass allows one to compute the mass parts of elements in any given compound, thereby bridging the gap between the microscopic and macroscopic worlds.

Stoichiometry

Stoichiometry refers to the use of balanced chemical equations to relate quantities of reactants and products in a reaction. It provides a systematic way to calculate the masses or moles of substances involved in chemical reactions. This concept is key for predicting yields, scaling reactions, and understanding the conservation of mass during chemical transformations.

Unit Conversions

Unit conversion is the process of converting quantities from one unit of measurement to another, such as from kilograms to metric tons. This skill is essential to ensure consistency and correctness of resulting numerical answers, especially in practical applications and industrial contexts where different units might be used.