Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 31 - Nuclear Energy; Effects and Uses of Radiation - Problems - Page 911: 10

Answer

46.7 MeV.

Work Step by Step

Calculate the Q-value, using data from Appendix B. We use atomic masses. $$Q=\left( m_{d}+m(^{13}_{6}C)-m(^{14}_{7}N)-m_{n} \right)c^2$$ $$ =\left(2.014102u+13.003355u-14.003074u-1.008665u\right)c^2\left( \frac{931.49MeV/c^2}{u}\right)$$ $$=5.326MeV$$ The total KE of the products is the Q-value plus the KE brought in by the incoming deuteron: 5.326MeV + 41.4 MeV = 46.7 MeV.
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