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 1331: 24a

Answer

$$ 1.2 \mathrm{\ MeV} $$

Work Step by Step

$\text { We solve } Q_{\text {eff }} \text { from } P=R Q_{\text {eff: }} $ $$ \begin{aligned} Q_{\text {eff }} &=\frac{P}{R}=\frac{m P T_{1 / 2}}{M \ln 2} \\ &=\frac{\left(90.0 \text { u) }\left(1.66 \times 10^{-27} \mathrm{kg} / \mathrm{u}\right)(0.93 \mathrm{W})(29 \mathrm{y})\left(3.15 \times 10^{7} \mathrm{s} / \mathrm{y}\right)\right.}{\left(1.00 \times 10^{-3} \mathrm{kg}\right)(\ln 2)\left(1.60 \times 10^{-13} \mathrm{J} / \mathrm{MeV}\right)} \\ &=1.2 \mathrm{\ MeV} \end{aligned} $$
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