/*! 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 25 If you had a mole of U.S. dollar... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 25

If you had a mole of U.S. dollar bills and equally distributed the money to all of the people of the world, how rich would every person be? Assume a world population of 7 billion.

Short Answer

Expert verified
If a mole of U.S. dollar bills were equally distributed among the 7 billion people of the world, every person would receive approximately \(8.6 \times 10^{13}\) dollars, which is equivalent to 86 trillion dollars.

Step by step solution

01

Find out how many dollar bills are in a mole.

A mole is a unit of measurement used in chemistry to express amounts of a chemical substance. It is equal to Avogadro's constant, which is approximately \(6.022 \times 10^{23}\) entities. Since we have a mole of dollar bills, it means we have approximately \(6.022 \times 10^{23}\) dollar bills.
02

Calculate the money received by each person.

To find out how much money each person would receive, we need to divide the total number of dollar bills by the world population: Money received by each person = \(\frac{Total \, number \, of \, dollar \, bills}{World \, population}\) Substituting the values we have: Money received by each person = \(\frac{6.022 \times 10^{23}}{7 \times 10^9}\)
03

Simplify the expression.

Now we need to simplify the expression by dividing the numerator by the denominator: Money received by each person = \(\frac{6.022 \times 10^{23}}{7 \times 10^9} = \frac{6.022}{7} \times \frac{10^{23}}{10^9}\) Money received by each person = \(\frac{6.022}{7} \times 10^{(23-9)}\) Money received by each person 鈮� \(\frac{6.022}{7} \times 10^{14}\) Now, perform the division: Money received by each person 鈮� \(0.86 \times 10^{14}\)
04

Write the final answer in scientific notation and standard notation.

The final answer in scientific notation is approximately: Money received by each person 鈮� \(8.6 \times 10^{13}\) dollars To convert this to standard notation: Money received by each person 鈮� 86,000,000,000,000 dollars So, if a mole of U.S. dollar bills were equally distributed among the world population, each person would receive approximately 86 trillion dollars.

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

What number of Fe atoms and what amount (moles) of Fe atoms are in \(500.0 \mathrm{g}\) of iron?

Natural rubidium has the average mass of 85.4678 u and is composed of isotopes \(^{85} \mathrm{Rb}\) (mass \(=84.9117 \mathrm{u}\) ) and \(^{87} \mathrm{Rb}\). The ratio of atoms \(^{85} \mathrm{Rb} /^{87} \mathrm{Rb}\) in natural rubidium is \(2.591 .\) Calculate the mass of \(^{87} \mathrm{Rb}\).

Atoms of three different elements are represented by \(\mathrm{O}, \square,\) and \(\Delta .\) Which compound is left over when three molecules of \(\mathrm{O}\Delta\) and three molecules of \(\square \square \Delta\) react to form \(O \square \Delta\) and \(\mathrm{O} \Delta \Delta ?\)

A substance \(\mathrm{X}_{2} \mathrm{Z}\) has the composition (by mass) of \(40.0 \% \mathrm{X}\) and \(60.0 \%\) Z. What is the composition (by mass) of the compound \(\mathrm{XZ}_{2} ?\)

The mass spectrum of bromine \(\left(\mathrm{Br}_{2}\right)\) consists of three peaks with the following characteristics: $$\begin{array}{|lc|}\hline \text { Mass }(\mathrm{u}) & \text { Relative Size } \\\\\hline 157.84 & 0.2534 \\\159.84 & 0.5000 \\\161.84 & 0.2466 \\\\\hline\end{array}$$ How do you interpret these data?
See all solutions

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Inorganic Chemistry

Read Explanation

Nuclear Chemistry

Read Explanation

Chemical Analysis

Read Explanation

Making Measurements

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.