Solution Found!
Answer: Radioactive decay of granite and other rocks in
Chapter 16, Problem 2P(choose chapter or problem)
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 = cm∆ T)
Questions & Answers
QUESTION:
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 = cm∆ T)
ANSWER:
Specific heat formula is given
Given data:
Specific heat capacity of granite
Change in temperature
Rate of energy production
Assume mass of granite as