Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 31 - Nuclear Energy; Effects and Uses of Radiation - Problems - Page 911: 22

Answer

$4\times10^{-4}$ grams, keeping one significant figure.

Work Step by Step

As stated in the 3 previous problems, assume that 200 MeV is released in one fission of a uranium nucleus. Change the 30 million joules of energy to an amount of uranium. $$(3\times10^7 J) \frac{MeV}{1.60\times10^{-13}J}\frac{1fission}{200\;MeV}\frac{235g}{6.02\times10^{23}atoms}$$ $$\approx 4\times10^{-4}g=4\times10^{-7}kg$$
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