Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 43 - Energy from the Nucleus - Problems - Page 1332: 39

Answer

$E = 7.28~MeV$

Work Step by Step

We can find the "extra" mass when the three alpha particles fuse: $m = (3)(4.0026~u)-12.0000~u$ $m = (0.0078)~u$ $m = (0.0078)~(1.66\times 10^{-27}~kg)$ $m = 1.2948\times 10^{-29}~kg$ This "extra" mass is transformed into energy. We can find the energy that is released: $E = mc^2$ $E = (1.2948\times 10^{-29}~kg)(3.0\times 10^8~m/s)^2$ $E = 1.16532\times 10^{-12}~J$ $E = (1.16532\times 10^{-12}~J)(\frac{1~eV}{1.6\times 10^{-19}~J})$ $E = 7.28\times 10^6~eV$ $E = 7.28~MeV$
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