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 1330: 8a

Answer

$5.002\;MeV$

Work Step by Step

The fission of of the molybdenum isotope ${}^{98}\mathbf {Mo}$ is given by ${}^{98}\mathbf {Mo}\rightarrow {}^{49}\mathbf {Sc}+{}^{49}\mathbf {Sc}+\mathbf Q$ The mass difference for the reaction is given by $\Delta m=(2m_{Sc}-m_{MO})$ or, $\Delta m=(2\times48.95002\;u-97.90541\;u)$ or, $\Delta m=(2\times48.95002\;u-97.90541\;u)$ or, $\Delta m=-5.37\times10^{-3}\;u$ Therefore, the disintegration energy is given by $Q=-\Delta mc^2$ or, $Q=5.37\times10^{-3}\;u \times 931.494013\;MeV/cm$ or, $Q=5.002\;MeV$
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