College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 29 - The Nucleus - Learning Path Questions and Exercises - Exercises - Page 999: 39


(a) 92.2 MeV (b) 7.68 MeV/nucleon

Work Step by Step

(a) $\Delta m=[m_{p}Z+(A-Z)m_{n}+m_{e}Z]-M$$=[(1.007276u\times6)+(6\times1.008665u)+(5.48578\times10^{-4}\,u\times6)]-12\,u=0.0989375\,u$ The complete annihilation of 1 u of mass releases 931.5 MeV of energy. Therefore, the total binding energy of the C-12 nucleus is $E_{b}=0.0989375\,u\times931.5\,MeV=92.2\,MeV$ (b) Average binding energy per nucleon=$\frac{E_{b}}{total\,number\,of\,nucleons}=\frac{E_{b}}{Mass\,number}=\frac{92.2\,MeV}{12}=7.68\,MeV/nucleon$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.