Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 30 - Nuclear Physics and Radioactivity - Problems - Page 881: 8

Answer

$^{31}_{15}P$.

Work Step by Step

$$\frac{1}{2}=\frac{r}{r_U}$$ Use equation 30–1 to find the atomic mass number, A. For uranium, we assume we have uranium-238. It is the most common isotope. $$\frac{1}{2}=\frac{(1.2\times10^{-15}m)A^{1/3}}{(1.2\times10^{-15}m)238^{1/3}}$$ $$A=238(\frac{1}{2})^{3}=29.75\approx 30$$ Look in Appendix B to find a stable nucleus with an atomic mass number close to 30. The answer is $^{31}_{15}P$.
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