Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 32 - Nuclear Physics and Nuclear Radiation - Problems and Conceptual Exercises - Page 1155: 88

Answer

$17\times 10^{-3}K$

Work Step by Step

We know that $\Delta m=m_i-m_f$ $\implies \Delta m=(239.052158u)-(235.043925u+4.002603u)=0.00563u$ and $E=(0.00563u)(\frac{931.5\frac{MeV}{c^2}}{1u})c^2$ $\implies E=5.224MeV$ The total energy is given as $E^{\prime}=nE$ $\implies E^{\prime}=(4.632\times 10^{14})(5.224MeV)=24.29\times 10^{14}MeV$ Now $\Delta T=\frac{E^{\prime}}{m_w c_w}$ We plug in the known values to obtain: $\Delta T=\frac{(24.29\times 10^{14}MeV)(\frac{1\times 10^6eV}{1MeV})(\frac{1.6\times 10^{-19}J}{1eV})}{(4.75Kg)(4186J/Kg.K)}$ $\implies \Delta T=17\times 10^{-3}K$
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