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Radioactive decay of granite and other rocks in Earth’s

Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt ISBN: 9780321909107 29

Solution for problem 2P Chapter 16

Conceptual Physics | 12th Edition

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Conceptual Physics | 12th Edition | ISBN: 9780321909107 | Authors: Paul G. Hewitt

Conceptual Physics | 12th Edition

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Problem 2P

Radioactive decay of granite and other rocks in Earth’s interior provides sufficient energy to keep the interior molten, to heat lava, and to provide warmth to natural hot springs. This is due to the average release of about 0.03 J per kilogram each year. Show that a 500°C increase in temperature for a thermally insulated chunk of granite takes about 13.3 million years. (Assume that the specific heat capacity ?c? of granite is 800 J/kg·C°. Use the equation Q ? ? =? m??? ?)

Step-by-Step Solution:
Step 1 of 3

Specific heat formula is given Q = mcT Given data: Specific heat capacity of granite c = 800 J/kg c 0 Change in temperature T = 500 C Rate of energy production Q = 0.03 J/kg year Assume mass of granite as m = 1 kg Q = mcT Q = 1(800)(500)...

Step 2 of 3

Chapter 16, Problem 2P is Solved
Step 3 of 3

Textbook: Conceptual Physics
Edition: 12
Author: Paul G. Hewitt
ISBN: 9780321909107

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Radioactive decay of granite and other rocks in Earth’s

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