Chemistry: Molecular Approach (4th Edition)

Published by Pearson
ISBN 10: 0134112830
ISBN 13: 978-0-13411-283-1

Chapter 2 - Exercises - Page 82: 109


\[\underline{6.022\times {{10}^{21}}\text{ dollars}}\] and \[\underline{9.266\times {{10}^{11}}\text{ dollars}}\]

Work Step by Step

1 penny represents \[\frac{1}{100}\text{ dollar}\]. Calculate the total amount of money as follows: \[\begin{align} & \text{Total money}=\text{Avogadro}\text{s number}\times \frac{1}{100}\text{ dollar} \\ & =6.022\times {{10}^{21}}\text{ dollars} \end{align}\] Calculate the money received by each individual as follows: \[\begin{align} & \text{Money recieved by each individual}=\frac{6.022\times {{10}^{21}}\text{ dollars}}{\text{7}\text{.0 billion}} \\ & =\frac{6.022\times {{10}^{21}}\text{ dollars}}{7.0\times {{10}^{9}}} \\ & =8.6\times {{10}^{11}}\text{ dollars} \end{align}\] Therefore, each individual will be a billionaire. The total amount of money is \[\underline{6.022\times {{10}^{21}}\text{ dollars}}\] and the share of each person is \[\underline{8.6\times {{10}^{11}}\text{ dollars}}\].
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