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Ordered: Tylenol \( 162.5 \mathrm{mg} \) q 4 hi prn headache How many tablets per dose do you give? \( 1 \mathrm{~s} \) tablets 1 tablet 2 tablets \( 1 / 2 \) tablet

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Final answer:

To determine the number of active molecules in a Tylenol pill, calculate the molecular mass of acetaminophen, convert the pill mass from mg to g, divide by molecular mass to get moles, and then multiply by Avogadro's number.

Step-by-step explanation:

The calculation of the number of active molecules in a Tylenol pill involves using the molecular mass of acetaminophen (C8H9NO₂) and Avogadro's number. To find the molecular mass, you would add the atomic masses of all the atoms in the formula. Acetaminophen's molecular mass is approximately 151.16 amu. Using the known mass of one Tylenol pill (325 mg) and Avogadro's number (6.022 × 10²³ molecules/mol), you can calculate the number of molecules as follows:

  • Convert 325 mg to grams by dividing by 1000, resulting in 0.325 g.
  • Calculate the number of moles of acetaminophen by dividing the mass in grams by the molecular mass: 0.325 g / 151.16 g/mol.
  • Multiply the number of moles by Avogadro's number to find the number of molecules.

Through these calculations, you can determine the number of active molecules of acetaminophen in a single Tylenol pill.

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