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: 23

Answer

$ \Delta E_{\mathrm{ben}}= 7.56 \mathrm{MeV}$

Work Step by Step

The mass difference is atomic mass is $$\Delta m=(94)(1.00783 \mathrm{u})+(239-94)(1.00867 \mathrm{u})-(239.05216 \mathrm{u})=1.94101 \mathrm{u}$$ 1 u = 931.5 MeV. Hence, the binding energy is $$\Delta E_{\mathrm{be}}=(1.94101 \mathrm{u})(931.5 \mathrm{MeV} / \mathrm{u})=1808 \mathrm{MeV}$$ For 239 nucleons, the binding energy per nucleon is $$\Delta E_{\mathrm{ben}}=E / A=(1808 \mathrm{MeV}) / 239=\boxed{7.56 \mathrm{MeV}}$$
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