Final answer:
To calculate the number of active molecules of acetaminophen in a Tylenol pill, first determine the molar mass of the compound, convert 325 mg to grams, then convert grams to moles, and finally multiply by Avogadro's number to get the number of molecules.
Step-by-step explanation:
The task is to calculate the number of active molecules of acetaminophen in a single Tylenol pill containing 325 mg of acetaminophen. To do this, we first calculate the molar mass of acetaminophen (C8H9NO2) by adding the atomic masses of each atom in the compound: (8 × Carbon) + (9 × Hydrogen) + (Nitrogen) + (2 × Oxygen). Once we have the molar mass, we can then use Avogadro's number (6.022 × 1023 molecules/mol) to find the number of molecules in 325 mg of the compound:
Calculation Steps:
- Calculate the molar mass of acetaminophen.
- Convert 325 mg to grams (325 mg = 0.325 g).
- Divide the mass of the dose (converted to grams) by the molar mass to obtain the number of moles of acetaminophen.
- Multiply the number of moles by Avogadro's number to find the total number of active molecules.