Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 42 - Nuclear Physics - Exercises and Problems - Page 1237: 40

Answer

The percent abundance of $^{69}Ga$ is $~~\%60$

Work Step by Step

Let $x$ be the relative abundance of $^{69}Ga$ Then the relative abundance of $^{71}Ga$ is $~~1-x$ We can find $x$: $(68.92~u)(x) + (70.92~u)(1-x) = 69.72~u$ $68.92~x + 70.92- 70.92~x = 69.72$ $2x = 70.92-69.72$ $2x = 1.20$ $x = 0.60$ The percent abundance of $^{69}Ga$ is $~~\%60$
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