Manufacturers of headache remedies routinely claim that their own brands are more potent pain relievers than the competing brands. Their way of making the comparison is to compare the number of molecules in the standard dosage. Tylenol uses 325 mg of acetaminophen (C8H9NO2) as the standard dose, while Advil uses 2.00 x 102 mg of ibuprofen (C13H1802). Find the number of molecules of pain reliever in the standard doses of (a) Tylenol and (b) Advil. (a) Number 1.296 Units No units v (b) Number 5.847 Units No units

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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### Comparing the Potency of Pain Relievers: Tylenol vs. Advil

Manufacturers of headache remedies routinely claim that their own brands are more potent pain relievers than the competing brands. Their way of making the comparison is to compare the number of molecules in the standard dosage. Tylenol uses 325 mg of acetaminophen (C<sub>8</sub>H<sub>9</sub>NO<sub>2</sub>) as the standard dose, while Advil uses 2.00 x 10<sup>2</sup> mg of ibuprofen (C<sub>13</sub>H<sub>18</sub>O<sub>2</sub>). Find the number of molecules of pain reliever in the standard doses of (a) Tylenol and (b) Advil.

#### (a) Number of molecules in Tylenol:
```
   1.296
```
Units: No units

#### (b) Number of molecules in Advil:
```
   5.847
```
Units: No units

In order to assist students with their understanding of chemical calculations, such problems typically involve steps like calculating the molar mass of each compound, converting the given mass to moles, and then using Avogadro's number to find the number of molecules. This kind of analysis helps students appreciate the molecular basis of dosage comparisons between different pharmaceutical products.
Transcribed Image Text:### Comparing the Potency of Pain Relievers: Tylenol vs. Advil Manufacturers of headache remedies routinely claim that their own brands are more potent pain relievers than the competing brands. Their way of making the comparison is to compare the number of molecules in the standard dosage. Tylenol uses 325 mg of acetaminophen (C<sub>8</sub>H<sub>9</sub>NO<sub>2</sub>) as the standard dose, while Advil uses 2.00 x 10<sup>2</sup> mg of ibuprofen (C<sub>13</sub>H<sub>18</sub>O<sub>2</sub>). Find the number of molecules of pain reliever in the standard doses of (a) Tylenol and (b) Advil. #### (a) Number of molecules in Tylenol: ``` 1.296 ``` Units: No units #### (b) Number of molecules in Advil: ``` 5.847 ``` Units: No units In order to assist students with their understanding of chemical calculations, such problems typically involve steps like calculating the molar mass of each compound, converting the given mass to moles, and then using Avogadro's number to find the number of molecules. This kind of analysis helps students appreciate the molecular basis of dosage comparisons between different pharmaceutical products.
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