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: 68b

Answer

Mass defect = 0.44947 amu Nuclear binding energy = 8.723 MeV/nucleon

Work Step by Step

Mass defect=[Z(mass $^{1}_{1}H$)+(A-Z)(mass $^{1}_{0}n$)]-mass $^{48}_{22}Ti$ =22(1.00783 amu)+26(1.00866 amu)- 47.947947 amu =0.44947 amu. Binding energy=$0.44947\,amu\times\frac{931.5\,MeV}{1\,amu}=418.68\,MeV$ Nuclear binding energy per nucleon= $\frac{Binding\,energy}{Number\,of\,nucleons (A)}=\frac{418.68\,MeV}{48\,nucleons}=8.723\,MeV/nucleon$
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