Composition of Over-the-Counter Medicines Calculate the...

Composition of Over-the-Counter Medicines Calculate the number of molecules or formula units of compound in each of the following common, over-the-counter medications: a. ibuprofen, a pain reliever and fever reducer that contains $200.0 \mathrm{mg}$ of the active ingredient, $\mathrm{C}_{13} \mathrm{H}_{18} \mathrm{O}_{2}$ b. an antacid containing 500.0 mg of calcium carbonate c. an allergy tablet containing 4 mg of chlorpheniramine $$\left(\mathrm{C}_{16} \mathrm{H}_{19} \mathrm{ClN}_{2}\right)$$.

Composition of Over-the-Counter Medicines Calculate the number of molecules or formula units of compound in each of the following common, over-the-counter medications:
a. ibuprofen, a pain reliever and fever reducer that contains $200.0 \mathrm{mg}$ of the active ingredient, $\mathrm{C}_{13} \mathrm{H}_{18} \mathrm{O}_{2}$
b. an antacid containing 500.0 mg of calcium carbonate
c. an allergy tablet containing 4 mg of chlorpheniramine
$$\left(\mathrm{C}_{16} \mathrm{H}_{19} \mathrm{ClN}_{2}\right)$$.

Key Concepts

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. It is calculated by summing the atomic masses of all constituent atoms in a molecule, providing the conversion factor between the mass of a substance and the number of moles.

Conversion from Mass to Moles

This concept involves converting a given mass of a chemical (after ensuring the mass is in grams) into moles by dividing by its molar mass. It establishes the quantitative relationship between the macroscopic amount of a substance and the amount in moles, which is a fundamental unit in chemistry.

Avogadro's Number

Avogadro's number (6.022 × 10^23) defines the number of constituent particles (atoms, molecules, or formula units) in one mole of any substance. It is essential in translating the amount in moles obtained from mass-to-moles conversion into an actual count of particles.

Dimensional Analysis

Dimensional analysis is the systematic use of units to convert between different measurement systems. In these calculations, it ensures that units properly cancel out, allowing for the correct transition from mass (in mg or g) to moles, and subsequently to the number of molecules or formula units using Avogadro's number.

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