   # Provide a reasonable estimate for the number of atoms in a 150-lb adult human. Use the information given in Table 19-2. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 19, Problem 81AE
Textbook Problem
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## Provide a reasonable estimate for the number of atoms in a 150-lb adult human. Use the information given in Table 19-2.

Interpretation Introduction

Interpretation: The number of atoms in 150lb of adult human is to be estimated using Table 19-2 .

Concept introduction: Number of atoms in a human body is equal to the sum of individual atom of each element present in the human body.

To determine: The number of atoms in 150lb of adult human.

### Explanation of Solution

Mass of each atom is,

• Mass of oxygen atom is 44226g_ .
• Mass of carbon atom is 12247.2g_ .
• Mass of hydrogen atom is 6804g_ .
• Mass of nitrogen atom is 2041.2g_ .

Given

Mass of adult human is 150lb .

Refer to Table 19-2 .

The mass percent of major elements in a human body is,

 Element Mass percent (%) Oxygen (O) 65.0 Carbon (C) 18.0 Hydrogen (H) 10.0 Nitrogen (N) 3.0

The conversion of pound (lb) into gram (g) is done as,

1lb=453.6g

Hence, the conversion of 150lb into gram is,

150lb=(150×453.6)g=68040g

The mass of each element is calculated by multiplying the mass percent with overall mass of human body. Hence, the mass of each element is,

Mass of atoms=Masspercentofatom×Overallmassofhumanbody (1)

Substitute the values of mass percent of oxygen and overall mass of human body in the above equation.

Mass of Oatoms=MasspercentofOatom×Overallmassofhumanbody=65.0100×68040=44226g_

Substitute the values of mass percent of carbon and overall mass of human body in equation (1).

Mass of Catoms=MasspercentofCatom×Overallmassofhumanbody=18.0100×68040=12247.2g_

Substitute the values of mass percent of hydrogen and overall mass of human body in equation (1).

Mass of Hatoms=MasspercentofHatom×Overallmassofhumanbody=10.0100×68040=6804g_

Substitute the values of mass percent of nitrogen and overall mass of human body in equation (1).

Mass of Natoms=MasspercentofNatom×Overallmassofhumanbody=3

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