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: 5

Answer

18.000937u.

Work Step by Step

Assume that all of the particles have negligible momentum. The incoming kinetic energy plus the mass-energy of the proton and the oxygen should add to the mass-energy of the products. To balance the electrons, we use the mass of hydrogen for the proton. $$KE+ m_pc^2+m_{^{18}_{8}O}c^2=m_{^{18}_{9}F}c^2+m_nc^2 $$ $$ m_{^{18}_{9}F}c^2=KE+ m_pc^2+m_{^{18}_{8}O}c^2-m_nc^2 $$ $$ m_{^{18}_{9}F} =KE/c^2+ m_p+m_{^{18}_{8}O} -m_n $$ $$ m_{^{18}_{9}F} =2.438MeV/c^2+1.007825u+17.999160u -1.008665u $$ $$ m_{^{18}_{9}F} =0.002617u+1.007825u+17.999160u -1.008665u $$ $$ m_{^{18}_{9}F} =18.000937u $$
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