Chemistry: Molecular Approach (4th Edition)

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

Chapter 7 - Exercises - Page 332: 53

Answer

$1.1\times10^{-34}\,m$ Since wavelength is small and can be neglected, wave nature of matter is not important for a baseball.

Work Step by Step

Recall that de Broglie wavelength is $\lambda=\frac{h}{mv}$ where $h$ is the Planck's constant, $m$ is the mass and $v$ is the velocity. $m=143\,g=0.143\,kg$ $v=95\,mi/h=95\,mi/h\times\frac{1609.344\,m}{1\,mi}\times\frac{1\,h}{3600\,s}$ $=42.4688\,m/s$ Substituting values, we have $ \lambda=\frac{6.626\times10^{-34}\,J\cdot s}{(0.143\,kg)(42.4688\,m/s)}$ $=1.1\times10^{-34}\,m$ Since wavelength is small and can be neglected, wave nature of matter is not important for a baseball.
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