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: 68a

Answer

Mass defect = 0.04213 amu Nuclear binding energy per nucleon = 5.606 MeV/nucleon

Work Step by Step

Mass defect=[Z(mass $^{1}_{1}H$)+(A-Z)(mass $^{1}_{0}n$)]-mass $^{7}_{3}Li$ =3(1.00783 amu)+4(1.00866 amu)- 7.016003 amu =0.04213 amu. Nuclear binding energy=$0.04213\,amu\times\frac{931.5\,MeV}{1\,amu}=39.24\,MeV$ Nuclear binding energy per nucleon= $\frac{Binding\,energy}{Mass\,number}=\frac{39.24\,MeV}{7\,nucleons}=5.606\,MeV/nucleon$
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