If an Avogadro’s number of pennies is divided equally among the 321 million men, women, and children in the United States, how many dollars would each receive? How does this compare with the gross domestic product (GDP) of the United States, which was \$21.4 trillion in 2019? (GDP is the total market value of the nation’s goods and services.)
Ch.3 - Chemical Reactions and Reaction Stoichiometry

Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook
Chapter 3, Problem 33a
What is the mass, in kilograms, of an Avogadro's number of people, if the average mass of a person is 160 lb?
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Convert the average mass of a person from pounds to kilograms using the conversion factor: 1 lb = 0.453592 kg.
Calculate the mass of one person in kilograms by multiplying 160 lb by the conversion factor.
Use Avogadro's number, which is approximately 6.022 \(\times\) 10^{23}, to determine the number of people.
Multiply the mass of one person in kilograms by Avogadro's number to find the total mass of an Avogadro's number of people.
Express the final result in kilograms.

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Avogadro's Number
Avogadro's number, approximately 6.022 x 10^23, is the number of particles, typically atoms or molecules, in one mole of a substance. This concept is fundamental in chemistry for converting between the number of particles and the amount of substance in moles, allowing for calculations involving large quantities of matter.
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Avogadro's Law
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it involves converting the mass of a person from pounds to kilograms, which is essential for ensuring that all measurements are in compatible units for accurate calculations.
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Conversion Factors
Mass Calculation
Mass calculation involves determining the total mass of a given quantity of matter. In this context, it requires multiplying the average mass of a person by Avogadro's number to find the total mass of that many people, illustrating how to apply basic arithmetic operations in a chemistry context.
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Molar Mass Calculation Example
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