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: 12

Answer

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Work Step by Step

a. The reaction is $$d + \;^{6}_{3}Li\rightarrow\;X +p$$ Conserve nucleon number: 2 + 6 = A + 1. We see that A = 7. Conserve charge: 1 + 3 = Z + 1. We see that Z = 3. The unknown product is Lithium-7. $$d + \;^{6}_{3}Li\rightarrow\; \;^{7}_{3}Li +p$$ b. This is named a "stripping" reaction because deuteron has been stripped of a neutron, by lithium. c. Calculate the Q-value, using data from Appendix B. We use atomic masses. $$Q=\left( m_{d}+m(^{6}_{3}Li)-m(^{7}_{3}Li)-m_{p} \right)c^2$$ $$ =\left(2.014102u+6.015123u-7.016003u-1.007825u\right)c^2\left( \frac{931.49MeV/c^2}{u}\right)$$ $$=5.027MeV$$ The Q-value is positive. The reaction is exothermic.
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