Oxygen gas reacts with powdered aluminum according to the...

Oxygen gas reacts with powdered aluminum according to the following reaction: $$ 4 \mathrm{Al}(s)+3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3}(s) $$ What volume of $\mathrm{O}_{2}$ gas (in $\mathrm{L}$ ), measured at $782 \mathrm{mmHg}$ and $25^{\circ} \mathrm{C}$, is required to completely react with $53.2 \mathrm{~g}$ Al?

Oxygen gas reacts with powdered aluminum according to the following reaction:
$$
4 \mathrm{Al}(s)+3 \mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{Al}_{2} \mathrm{O}_{3}(s)
$$
What volume of $\mathrm{O}_{2}$ gas (in $\mathrm{L}$ ), measured at $782 \mathrm{mmHg}$ and $25^{\circ} \mathrm{C}$, is required to completely react with $53.2 \mathrm{~g}$ Al?

Key Concepts

Stoichiometry

Stoichiometry involves using the balanced chemical equation to determine the quantitative relationships between reactants and products. It allows one to convert amounts in grams to moles and then use the mole ratios provided by the equation to establish how much of each reactant is required or product formed, ensuring the conservation of mass in the chemical reaction.

Mole Concept and Molar Mass

The mole concept links the mass of a substance to the number of particles it contains through its molar mass. This concept is essential in chemistry, as it allows one to convert from a given mass (in grams) to the number of moles, which is the standard unit for counting entities in chemical reactions.

Ideal Gas Law

The Ideal Gas Law (PV = nRT) is a fundamental equation used to relate the pressure, volume, number of moles, and temperature of a gas. This law enables the calculation of any one of these variables when the others are known, making it crucial for converting the number of moles of a gas to its volume under specified conditions.

Unit Conversions

Unit conversions are necessary to ensure consistency across different units used in a calculation. This includes converting temperature from degrees Celsius to Kelvin, pressure from mmHg to atmospheres (if needed), and ensuring that the gas constant is used with the correct units. These conversions are a critical step to accurately apply the Ideal Gas Law and other physical equations.

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