Chemistry: The Central Science (13th Edition)

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

Chapter 6 - Electronic Structure of Atoms - Additional Exercises: 6.84b

Answer

The time it takes for the transmitted signals to travel from the spacecraft to the Earth is about 35 minutes.

Work Step by Step

The signals are transmitted in the form of electromagnetic radiation, which travels in vacuum at speed of light $c\approx2.998\times10^8m/s$ We know that $1mi\approx1609.344m$ So, $c\approx1.863\times10^5mi/s$ Therefore, the time it takes for the transmitted signals to travel from the spacecraft to the Earth is $$t=\frac{3.91\times10^8mi}{1.863\times10^5mi/s}$$$$t\approx2.099\times10^3s\approx2099s\approx35minutes$$
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