Some indoor air-purification systems work by converting a...

Some indoor air-purification systems work by converting a little of the oxygen in the air to ozone, which kills mold and mildew spores and other biological air pollutants. The chemical equation for the ozone generation reaction is $$3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{O}_{3}(g)$$ It is claimed that one such system generates $4.0 \mathrm{g} \mathrm{O}_{3}$ per hour from dry air passing through the purifier at a flow of $5.0 \mathrm{L} / \mathrm{min.}$ If exactly 1 liter of indoor air contains $0.28 \mathrm{g}$ $\mathrm{O}_{2},$ what percentage of the $\mathrm{O}_{2}$ is converted to $\mathrm{O}_{3}$ by the air purifier?

Some indoor air-purification systems work by converting a little of the oxygen in the air to ozone, which kills mold and mildew spores and other biological air pollutants. The chemical equation for the ozone generation reaction is
$$3 \mathrm{O}_{2}(g) \rightarrow 2 \mathrm{O}_{3}(g)$$
It is claimed that one such system generates $4.0 \mathrm{g} \mathrm{O}_{3}$ per hour from dry air passing through the purifier at a flow of $5.0 \mathrm{L} / \mathrm{min.}$ If exactly 1 liter of indoor air contains $0.28 \mathrm{g}$ $\mathrm{O}_{2},$ what percentage of the $\mathrm{O}_{2}$ is converted to $\mathrm{O}_{3}$ by the air purifier?

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Key Concepts

Stoichiometry

Stoichiometry involves using a balanced chemical equation to relate the amounts of reactants and products in a chemical reaction. It provides the mole ratios that allow calculation of the desired substance's quantity based on the quantity of another substance involved in the reaction.

Mole Concept

The mole concept is fundamental in chemistry for converting between mass and number of particles. It uses the molar mass of a substance to translate a measured mass into the number of moles, which is necessary for applying the mole ratios defined in a balanced chemical equation.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another, ensuring all measurements are consistent within calculations. This is essential when integrating different types of data such as flow rates, mass concentrations, and time intervals in chemical computations.

Percentage Conversion

Percentage conversion quantifies the fraction of a reactant that undergoes transformation into a product, typically expressed as a percentage. It provides a measure of the efficiency or extent of a chemical process, indicating how much of the starting material has been converted into the desired product.

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