Fundamentals of Physics Extended (10th Edition)

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

Chapter 43 - Energy from the Nucleus - Problems - Page 1332: 27b

Answer

$$5.8 \times 10^{3} \mathrm{kg} $$

Work Step by Step

Using the result of Eq. $43-6,$ we obtain $$ M=\frac{m_{\mathrm{U}} E_{\text {total }}}{Q}$$$$=\frac{(235 \mathrm{u})\left(1.66 \times 10^{-27} \mathrm{kg} / \mathrm{u}\right)\left(15 \times 10^{9} \mathrm{W} \cdot \mathrm{y}\right)\left(3.15 \times 10^{7} \mathrm{s} / \mathrm{y}\right)}{(200 \mathrm{MeV})\left(1.6 \times 10^{-13} \mathrm{J} / \mathrm{MeV}\right)}$$$$=5.8 \times 10^{3} \mathrm{kg} $$
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