Textbook Question
What is the mass, in kilograms, of an Avogadro's number of people, if the average mass of a person is 160 lb? How does this compare with the mass of Earth, 5.98⨉1024 kg?
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Ch.3 - Chemical Reactions and Reaction Stoichiometry
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232
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Table of contents
- Ch.1 - Introduction: Matter, Energy, and Measurement177
- Ch.2 - Atoms, Molecules, and Ions231
- Ch.3 - Chemical Reactions and Reaction Stoichiometry216
- Ch.4 - Reactions in Aqueous Solution189
- Ch.5 - Thermochemistry175
- Ch.6 - Electronic Structure of Atoms168
- Ch.7 - Periodic Properties of the Elements150
- Ch.8 - Basic Concepts of Chemical Bonding177
- Ch.9 - Molecular Geometry and Bonding Theories200
- Ch.10 - Gases179
- Ch.11 - Liquids and Intermolecular Forces113
- Ch.12 - Solids and Modern Materials154
- Ch.13 - Properties of Solutions157
- Ch.14 - Chemical Kinetics199
- Ch.15 - Chemical Equilibrium128
- Ch.16 - Acid-Base Equilibria164
- Ch.17 - Additional Aspects of Aqueous Equilibria163
- Ch.18 - Chemistry of the Environment105
- Ch.19 - Chemical Thermodynamics164
- Ch.20 - Electrochemistry171
- Ch.21 - Nuclear Chemistry122
- Ch.22 - Chemistry of the Nonmetals82
- Ch.23 - Transition Metals and Coordination Chemistry79
- Ch.24 - The Chemistry of Life: Organic and Biological Chemistry16
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232Not 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?
Verified step by step guidance1
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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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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