Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Additional Exercises - Page 38: 1.67b

Answer

$4.0\times10^6 seconds$

Work Step by Step

Part A of this problem calculates that there are 386,241,600 meters between the earth and the moon. Because the bird's speed is in km/hour, first convert this distance to kilometers. There are 1000 meters in a km, so divide 386,241,600 meters by 1000 to convert to kilometers. $386,241,600\div1000=386,241.6kilometers$ Because the bird travels 350 km/hour, divide 386,241.6 kilometers by 350 to find how many hours it will take. $386,241.6kilometers/350km/hour=1103.547hours$ However, the problem asks for the answer in seconds, so it is necessary to find how many seconds there are in 1103.547hours. In every hour there are 60 minutes. Thus, multiplying 1103.547 hours by 60, we get that it will take 66212.8457 minutes to travel this distance. There are 60 seconds in a minute, so, multiplying 66212.8457 minutes by 60, we get that it will take 3972770.743 seconds for the bird to travel this distance. With the correct significant figures, this is written $4.0\times10^6 seconds$.
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