Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 42 - Nuclear Physics - Problems - Page 1303: 20

Answer

$$ 7.31 \mathrm{\ MeV} \text { per nucleon. } $$

Work Step by Step

if we look at appendix $\mathrm{F}$ and/or $\mathrm{G},$ we can find that: $Z=107$ for bohrium, so this isotope has $$N=A-Z=262-107=155 \mathrm{\ neutrons}$$ Thus, $\begin{aligned} \Delta E_{\mathrm{bc} \mathrm{n}} &=\frac{\left(Z m_{\mathrm{H}}+N m_{n}-m_{\mathrm{Bh}}\right) c^{2}}{A} \\ &=\frac{((107)(1.007825 \mathrm{u})+(155)(1.008665 \mathrm{u})-262.1231 \mathrm{u})(931.5 \mathrm{MeV} / \mathrm{u})}{262} \\ & \mathrm{which} \text { yields } 7.31 \mathrm{MeV} \text { per nucleon. } \end{aligned}$
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