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 1333: 43b

Answer

8.65 Megaton TNT is the rating of the Deuterium bomb

Work Step by Step

Out of 500 kg of Deuterium, only 30% of the mentioned amount was used. Hence the energy released can be given by $$ E=N Q= \frac{0.300 M}{5 m_{2H}} $$ Thus, the rating is given by the following calculation $$ \begin{aligned} R &=\frac{E}{2.6 \times 10^{28} \mathrm{MeV} / \mathrm{megaton} \mathrm{TNT}} \\ &=\frac{ 0.300 \mathrm{g} \times 500 \mathrm{kg} \times 24.9 \mathrm{MeV}_{}}{502.0 \mathrm{\mu g} \times 1.66 \times 10^{-27} \mathrm{kg} / \mathrm{uh} \times 2.6 \times 10^{28} \mathrm{MeV} / \mathrm{megaton} \mathrm{TNT}} \\ &=8.65 \mathrm{megaton} \mathrm{TNT} \end{aligned} $$
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