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Solved: Radioactive decay of granite and other rocks in
Chapter 8, Problem 36TAS(choose chapter or problem)
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 \(500^{\circ} \mathrm{C}\) 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 \(800 \ \mathrm{J} / \mathrm{kg} \cdot \mathrm{C}^{\circ}\). Use the equation \(Q=c m \Delta T\).)
Questions & Answers
QUESTION:
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 \(500^{\circ} \mathrm{C}\) 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 \(800 \ \mathrm{J} / \mathrm{kg} \cdot \mathrm{C}^{\circ}\). Use the equation \(Q=c m \Delta T\).)
ANSWER:Step 1 of 2
The amount of heat required to change the temperature is,
For 
