(a) The molecular formula of acetylsalicylic acid (aspirin),...

(a) The molecular formula of acetylsalicylic acid (aspirin), one of the most common pain relievers, is $\mathrm{CgH}_{8} \mathrm{O}_{4} .$ How many moles of $\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}$ are in a $0.500-\mathrm{g}$ tablet of aspirin? Assume the tablet is composed entirely of aspirin. (b) How many molecules of $\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4}$ are in this tablet? (c) How many carbon atoms are in the tablet?

Key Concepts

Stoichiometry

Stoichiometry is the quantitative relationship between reactants and products in a chemical reaction. It involves using the mole ratios derived from the molecular formula or balanced chemical equations to determine the number of molecules or atoms involved, which is key to solving quantitative chemistry problems.

Avogadro's Number

Avogadro's number (6.022 x 10^23) is the constant that represents the number of particles in one mole of any substance. It is critical for converting between the number of moles and the actual count of particles, such as molecules or atoms, in a sample.

Molecular Formula

A molecular formula specifies the types and numbers of atoms present in a molecule. It is essential for calculating the molar mass of a compound and understanding its chemical composition, which is the foundation for many quantitative analyses in chemistry.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. By summing the atomic masses of all atoms in the molecular formula, chemists can convert between the mass of a sample and the number of moles, which is vital for quantitative chemical calculations.

Mole Concept

The mole is a fundamental unit in chemistry that represents a fixed number of particles, typically 6.022 x 10^23 entities (Avogadro's number). This concept facilitates the conversion of a substance's mass to the number of individual molecules or atoms, linking macroscopic measurements with microscopic entities.

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