/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 31 What is the mass, in kilograms, ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Problem 31

What is the mass, in kilograms, of an Avogadro's number of people, if the average mass of a person is \(160 \mathrm{lb}\) ? How does this compare with the mass of Earth, \(5.98 \times 10^{24} \mathrm{~kg}\) ?

Short Answer

Expert verified
The mass of an Avogadro's number of people, with an average mass of \(72.57472 kg\), is approximately \(4.3673 \times 10^{25} kg\). This mass is about 7.3 times the mass of Earth, which is \(5.98 \times 10^{24} kg\).

Step by step solution

01

Convert mass unit from lbs to kg

To convert the average mass of a person from lbs to kg, we will use the following conversion factor: 1lb = 0.453592 kg So, the average mass of a person in kg is: \(160 lb \times 0.453592 \frac{kg}{lb} = 72.57472 kg\)
02

Compute the mass of an Avogadro's number of people

Now we will multiply the average mass of one person in kg by Avogadro's number to find the mass of Avogadro's number of people. Avogadro's number, N_A, is approximately \(6.022 \times 10^{23}\). Total mass of an Avogadro's number of people (M_p) is: \(M_p = 72.57472 kg \times (6.022 \times 10^{23})\)
03

Calculate the mass of Avogadro's number of people

Now, calculate the mass, \(M_p\): \(M_p = 72.57472 kg \times (6.022 \times 10^{23}) = 4.3673 \times 10^{25} kg\)
04

Compare with Earth's mass

The mass of Earth (M_e) is given as \(5.98 \times 10^{24} kg\). To compare the mass of an Avogadro's number of people with the mass of Earth, we can divide the mass of people by the mass of Earth: \(\frac{M_p}{M_e} = \frac{4.3673 \times 10^{25} kg}{5.98 \times 10^{24} kg} = 7.3\) So, the mass of an Avogadro's number of people is approximately 7.3 times the mass of Earth.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The koala dines exclusively on eucalyptus leaves. Its digestive system detoxifies the eucalyptus oil, a poison to other animals. The chief constituent in eucalyptus oil is a substance called eucalyptol, which contains \(77.87 \% \mathrm{C}\), \(11.76 \% \mathrm{H}\), and the remainder \(\mathrm{O}\). (a) What is the empirical formula for this substance? (b) A mass spectrum of eucalyptol shows a peak at about 154 amu. What is the molecular formula of the substance?

Write a balanced chemical equation for the reaction that occurs when (a) aluminum metal undergoes a combination reaction with \(\mathrm{O}_{2}(g) ;\) (b) copper(II) hydroxide decomposes into copper(II) oxide and water when heated; (c) heptane, \(\mathrm{C}_{7} \mathrm{H}_{16}(l)\), burns in air; (d) the gasoline additive MTBE (methyl tert-butyl ether), \(\mathrm{C}_{5} \mathrm{H}_{12} \mathrm{O}(l)\), burns in air.

Calculate the following quantities: (a) mass, in grams, of \(0.105\) moles sucrose \(\left(\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}\right)\) (b) moles of \(\mathrm{Zn}\left(\mathrm{NO}_{3}\right)_{2}\) in \(143.50 \mathrm{~g}\) of this substance (c) number of molecules in \(1.0 \times 10^{-6} \mathrm{~mol} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}\) (d) number of \(\mathrm{N}\) atoms in \(0.410 \mathrm{~mol} \mathrm{NH}_{3}\)

If Avogadro's number of pennies is divided equally among the 300 million men, women, and children in the United States, how many dollars would each receive? How does this compare with the gross domestic product of the United States, which was \(\$ 13.5\) trillion in 2006 ? (The GDP is the total market value of the nation's goods and services.)

Balance the following equations, and indicate whether they are combination, decomposition, or combustion reactions: (a) \(\mathrm{Al}(s)+\mathrm{Cl}_{2}(g) \longrightarrow \mathrm{AlCl}_{3}(s)\) (b) \(\mathrm{C}_{2} \mathrm{H}_{4}(g)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)\) (c) \(\mathrm{Li}(s)+\mathrm{N}_{2}(g) \longrightarrow \mathrm{Li}_{3} \mathrm{~N}(s)\) (d) \(\mathrm{PbCO}_{3}(s) \longrightarrow \mathrm{PbO}(s)+\mathrm{CO}_{2}(g)\) (e) \(\mathrm{C}_{7} \mathrm{H}_{8} \mathrm{O}_{2}(l)+\mathrm{O}_{2}(g) \longrightarrow \mathrm{CO}_{2}(g)+\mathrm{H}_{2} \mathrm{O}(g)\)
See all solutions

Recommended explanations on Chemistry Textbooks

Chemical Reactions

Read Explanation

Nuclear Chemistry

Read Explanation

Making Measurements

Read Explanation

Chemical Analysis

Read Explanation

Chemistry Branches

Read Explanation

Organic Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.