Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 42 - Nuclear Physics - Exercises and Problems - Page 1274: 12

Answer

${\bf 20.18}\;\rm u$

Work Step by Step

To calculate the chemical atomic mass of neon, we need to take into account the isotopic masses of neon and their natural abundances. Neon has three main isotopes: 1. Neon-20 ($^{20}\text{Ne}$) with a natural abundance of approximately 90.48% and an atomic mass of 19.99244 u. 2. Neon-21 ($^{21}\text{Ne}$) with a natural abundance of approximately 0.27% and an atomic mass of 20.99385 u. 3. Neon-22 ($^{22}\text{Ne}$) with a natural abundance of approximately 9.25% and an atomic mass of 21.99139 u. Thus, the atomic mass of Neon is given by $$m_{\rm Ne}=0.9048 m_{^{20}\text{Ne}}+0.0027 m_{^{21}\text{Ne}}+0.0925 m_{^{22}\text{Ne}}$$ Plug the known from Appendix C; $$ m_{\rm Ne}=0.9048 (19.992 435 )+0.0027 (20.993 841 )+0.0925 (21.991 383) $$ $$m_{\rm Ne}=\color{red}{\bf 20.18}\;\rm u$$
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