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Chapter 3: Problem 27

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 (6.022 x 10^23 dollars) were equally distributed among the world population of 7 billion people (7 x 10^9 people), each person would be approximately 8.6 x 10^13 dollars rich.

Step by step solution

01

Convert a mole of U.S. dollar bills into a number

To convert a mole of U.S. dollar bills into a numerical amount, we can use Avogadro's number, which is approximately 6.022 x 10^23. So, a mole of U.S. dollar bills would be equal to: 6.022 x 10^23 dollars.
02

Calculate the total amount to be distributed among the world population

We know that the world population is given as 7 billion, or 7 x 10^9 people. So, to find out how much money would be distributed among the world population, we can use the following formula: Total amount to be distributed = Total money (A mole of U.S. dollar bills) / World population
03

Solve for the total amount to be distributed

In this step, we will plug in the values calculated in the previous steps into our formula: Total amount to be distributed = (6.022 x 10^23 dollars) / (7 x 10^9 people) To simplify, divide the numerator by the denominator: Total amount to be distributed 鈮� 8.6 x 10^13 dollars per person
04

Final answer

Therefore, if a mole of U.S. dollar bills were equally distributed among the world population of 7 billion people, each person would be approximately 8.6 x 10^13 dollars rich.

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