Chemistry: A Molecular Approach (3rd Edition)

Published by Prentice Hall
ISBN 10: 0321809246
ISBN 13: 978-0-32180-924-7

Chapter 19 - Sections 19.1-19.12 - Exercises - Problems by Topic - Page 947: 67c

Answer

Mass defect= 1.16754 amu Nuclear binding energy= 8.431 MeV/nucleon

Work Step by Step

Mass defect=[Z(mass $^{1}_{1}H$)+(A-Z)(mass $^{1}_{0}n$)]-mass $^{129}_{54}Xe$ =54(1.00783 amu)+75(1.00866 amu)- 128.904780 amu =1.16754 amu. Nuclear binding energy=$1.16754\,amu\times\frac{931.5\,MeV}{1\,amu}=1087.56\,MeV$ Nuclear binding energy per nucleon= $\frac{Binding\,energy}{A}=\frac{1087.56\,MeV}{129\,nucleons}=8.431\,MeV/nucleon$
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