Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 34 - Think and Solve: 32

Answer

Raise the temperature of $4.0 \times 10^{8}$ kgs of water by 50 Celsius degrees.

Work Step by Step

Calculate the energy released by the explosion. $$\frac{(20 kilotons)(4.2 \times 10^{12} J/kiloton)}{4,184 J/kilocalorie} = 2.0 \times 10^{10} kilocalories$$ This is enough energy to raise the temperature of $2.0 \times 10^{10}$ kg of water by one Celsius degree. Equivalently, this energy could raise the temperature of 1/50 of that amount of water, $4.0 \times 10^{8}$ kgs, by 50 Celsius degrees. As stated in the question, this is about half a million tons.
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