University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 43 - Nuclear Physics - Problems - Exercises - Page 1476: 43.38

Answer

a. 540 rem. b. 540 rad. c. It’s very small, about 13 percent.

Work Step by Step

a. The RBE for x-rays is 1.0, so the absorbed dose in Gy is the same as the equivalent dose in Sv, by equation 43.20. $5.4Sv\frac{100rad}{Sv}=540 rad$ By equation 43.21, the equivalent dose in rem equals the absorbed dose in rad. 540 rem. b. As just derived, 540 rad. c. The total energy absorbed is $\frac{5.4J}{kg}(65kg)=351J$. The energy required to raise the temperature of 65 kg by 0.01 Celsius degree is $(65kg)\frac{4190J}{kg\cdot K}0.01K=2700J$. The amount of energy received in the fatal radiation dose causes very little heating of the body.
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