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 oxidizes 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 $4.0 \mathrm{g}$ of $\mathrm{O}_{3}$ per hour from dry air passing through the purifier at a flow of $5.0 \mathrm{L} / \mathrm{min.}$ If 1 liter of indoor air contains $0.28 \mathrm{g}$ of $\mathrm{O}_{2}$. a. what fraction of the molecules of $\mathrm{O}_{2}$ is converted to $\mathrm{O}_{3}$ by the air purifier? b. what is the percent yield of the ozone generation reaction?

Some indoor air-purification systems work by converting a little of the oxygen in the air to ozone, which oxidizes 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 $4.0 \mathrm{g}$ of $\mathrm{O}_{3}$ per hour from dry air passing through the purifier at a flow of $5.0 \mathrm{L} / \mathrm{min.}$ If 1 liter of indoor air contains $0.28 \mathrm{g}$ of $\mathrm{O}_{2}$.
a. what fraction of the molecules of $\mathrm{O}_{2}$ is converted to $\mathrm{O}_{3}$ by the air purifier?
b. what is the percent yield of the ozone generation reaction?

Key Concepts

Mole Ratios and Reaction Efficiency

Mole ratios derived from the balanced chemical equation are used to relate the amount of reactant molecules that are converted into product molecules. This is crucial for determining the fraction of specific molecules that participate in a transformation and assessing the efficiency of the reaction, independent of the specific conditions under which the reaction occurs.

Percent Yield Calculation

The percent yield is a measure of the efficiency of a chemical reaction, defined as the ratio of the actual yield (what is experimentally obtained) to the theoretical yield (what is expected based on stoichiometry), multiplied by 100. It helps evaluate the performance of a chemical reaction and indicates losses or inefficiencies in the process.

Chemical Reaction Stoichiometry

This concept involves using a balanced chemical equation to understand the quantitative relationships between reactants and products. It provides a framework for determining how many moles or molecules of one substance are needed or produced relative to others in a chemical reaction, which is essential when converting between mass and moles and interpreting reaction yields.

Conversion Factors and Dimensional Analysis

Conversion factors allow one to switch between different units (such as mass, moles, or volume) using known relationships, while dimensional analysis is the systematic method for ensuring that the units cancel appropriately. This is particularly important in problems involving the conversion of quantities like grams to moles or liters to moles based on concentration data.

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