Chemistry: Principles and Practice (3rd Edition)

Published by Cengage Learning
ISBN 10: 0534420125
ISBN 13: 978-0-53442-012-3

Chapter 7 - Electronic Structure - Questions and Exercises - Exercises: 7.43

Answer

λ = 332 pm = c

Work Step by Step

Wavelength, λ = $\frac{h}{mv}$ h = $6.626\times10^{-34}Js$ m = $9.109\times10^{-31}kg$ v = $2.19\times10^{6}m/s$ λ = $\frac{6.626\times10^{-34}Js}{9.109\times10^{-31}kg\times2.19\times10^{6}m/s}$ = $3.32\times10^{-10}m$ = 332 pm ( Value of the prefix 'pico' = $10^{-12}$) Circumference, c = 2πr r = 52.9 pm (given) Then, c = $2π\times52.9 pm$ = 332 pm Circumference and wavelength are equal.
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