University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 43 - Nuclear Physics - Problems - Exercises - Page 1475: 43.15

Answer

See explanation.

Work Step by Step

Compare the mass of the original C nucleus to the total mass of the beta particle and nitrogen nucleus. The $\beta^-$ particle has a charge of -1 and a mass number of 0, so the new nucleus will have a mass number of 14, and an atomic number of 6 – (-1) = 7. It is nitrogen, $^{14}_{7}N$. Calculate the mass defect, 14.003242u-14.003074u=0.000168u. The number of electrons stays the same. Recall that 1 u = 931.5 MeV. This mass defect corresponds to an energy release of 0.156 MeV.
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