Physics: Principles with Applications (7th Edition)

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

Chapter 26 - The Special Theory of Relativity - General Problems - Page 769: 67

Answer

The mass loss is $5.38\times10^{-12}kg$, which is $1.49\times10^{-8}\%$ of the total original mass.

Work Step by Step

Calculate the mass loss using equation 26–8. $$\Delta m = \frac{\Delta E}{c^2}=\frac{484\times10^3 J}{(3.00\times10^8 m/s)^2}=5.38\times10^{-12}kg$$ The mass of 2 moles of hydrogen molecules and 1 mole of oxygen molecules is $36.0\times10^{-3}kg$. Find the mass lost as a percentage of the original mass. $$\frac{5.38\times10^{-12}kg }{36.0\times10^{-3}kg }=1.49\times10^{-10}=1.49\times10^{-8}\%$$ The mass loss is $5.38\times10^{-12}kg$, which is $1.49\times10^{-8}\%$ of the total original mass.
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