Chemistry 12th Edition

Published by McGraw-Hill Education
ISBN 10: 0078021510
ISBN 13: 978-0-07802-151-0

Chapter 3 - Mass Relationships in Chemical Reactions - Questions & Problems - Page 107: 3.11

Answer

$1.4*10^{6}$ years

Work Step by Step

To solve this question, you divide the number of particles by the number of particles the entire population can count in a year. To find the number of particles the entire population can count in a year, you multiply the population number by how many particles one human being can count in a year which is 2 multiplied by the number of seconds in a year (since the question states that everybody counts at a rate of 2 particles per second). The number will come out to be $6.307*10^7$, then multiply this by $6.9*10^9$ (6.9 billion). You will end up with $4.4*10^{17}$. Next divide $6.0*10^{23}$ by $4.4*10^{17}$ to get your final result. Make sure to round your answer to 2 significant digits.
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