Answer :
Final answer:
The unit of measurement for medications like Tylenol and aspirin is generally in milligrams. To find the number of active acetaminophen molecules in a Tylenol pill, calculate the molar mass of acetaminophen and then use Avogadro's number to find the number of molecules in the given dosage.
Explanation:
The unit of measurement commonly used for active ingredients like Tylenol (acetaminophen) and aspirin is milligrams per dosage unit. In the context of pharmaceuticals, understanding drug dosage and conversions is essential. For instance, if a nurse has 50 mg aspirin tablets and needs to administer 0.2 g (which is equal to 200 mg), the nurse would provide four 50 mg tablets to achieve the desired 200 mg dose.
To find the number of active molecules of acetaminophen in a single Tylenol pill with 325 mg of active ingredient, we first calculate the molar mass of acetaminophen. Each molecule of acetaminophen (C8H9NO2) has a specific molar mass calculated by adding the atomic masses of all the atoms in the molecule.
Similarly, the molar mass for an aspirin molecule (C9H8O4) is found by summing up the atomic masses of its constituent elements: nine carbon atoms, eight hydrogen atoms, and four oxygen atoms, which add up to approximately 180.15 amu (atomic mass units). Once we know the molar mass, we can use Avogadro's number to determine the number of molecules in one mole of a substance, thus finding the number of active molecules in the given weight of the substance.
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