   # Acetaminophen, whose structure is drawn below, is the active ingredient in some nonprescription pain killers. The recommended dose for an adult is two 500-mg caplets. How many molecules make up one dose of this drug? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2, Problem 77PS
Textbook Problem
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## Acetaminophen, whose structure is drawn below, is the active ingredient in some nonprescription pain killers. The recommended dose for an adult is two 500-mg caplets. How many molecules make up one dose of this drug? Interpretation Introduction

Interpretation: The number of molecules present in two 500mg  caplets is to be calculated.

Concept introduction:

• Molar mass of a molecule can be calculated from its molecular formula by taking the sum of atomic masses of all the elements present in it.
• Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

• Equation for finding number of molecules from number of moles of a molecule,

Numberofmolecule=numberofmolesofmolecule×6.022×1023molecules/mol

### Explanation of Solution

The amount of two 500mg acetaminophen caplets is 1000mg.

The molar mass of acetaminophen is 151.163g.

Conversion formula for mass of a molecule into number moles,

Numberofmoles=MassingramsMolarmass

Therefore,

The number moles of acetaminophen is,

Numberofmoles=1000g151.165g/mol=6

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