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

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

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

Key Concepts

Stoichiometry and Balanced Equations

This concept involves using a balanced chemical equation to determine the relationships between reactants and products. It ensures that the number of atoms for each element is conserved in a reaction. In calculations, stoichiometry allows one to determine how much of one reactant is needed or how much product is yielded based on the mole ratios derived from the balanced equation.

Molar Mass and Mole Conversion

Understanding the concept of the mole involves converting a given mass of a substance to moles using its molar mass. This conversion is central to chemical calculations because it links the macroscopic measurement of mass (grams) to the number of particles (moles) represented in the balanced equation.

Ideal Gas Law

The Ideal Gas Law (PV = nRT) is a fundamental relationship that relates the pressure, volume, temperature, and amount (in moles) of a gas. It allows for the calculation of any one of these variables when the others are known, which is essential for determining the volume of a gas under specific conditions.

Gas Pressure and Temperature Conversion

Accurate gas calculations require converting all units to appropriate ones, such as converting temperatures from Celsius to Kelvin and pressures from units like mmHg to atmospheres if needed. This ensures that the ideal gas law and other gas-related calculations are applied correctly and consistently.

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