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The Kilauea volcano in Hawaii is the world’s most active,
Chapter 14, Problem 51(choose chapter or problem)
The Kilauea volcano in Hawaii is the world’s most active, disgorging about \(5 \times 10^{5} \mathrm{~m}^{3}\) of \(1200^{\circ} \mathrm{C}\) lava per day. What is the rate of heat transfer out of Earth by convection if this lava has a density of \(2700 \mathrm{~kg} / \mathrm{m}^{3}\) and eventually cools to \(30^{\circ} \mathrm{C}\) ? Assume that the specific heat of lava is the same as that of granite.
Figure \(14.34\) Lava flow on Kilauea volcano in Hawaii. (credit: J. P. Eaton, U.S. Geological Survey)
Equation Transcription:
Text Transcription:
5 times 10^5 m^3
1200 degrees C
2700 kg/m^3
30 degrees C
14.34
Questions & Answers
QUESTION:
The Kilauea volcano in Hawaii is the world’s most active, disgorging about \(5 \times 10^{5} \mathrm{~m}^{3}\) of \(1200^{\circ} \mathrm{C}\) lava per day. What is the rate of heat transfer out of Earth by convection if this lava has a density of \(2700 \mathrm{~kg} / \mathrm{m}^{3}\) and eventually cools to \(30^{\circ} \mathrm{C}\) ? Assume that the specific heat of lava is the same as that of granite.
Figure \(14.34\) Lava flow on Kilauea volcano in Hawaii. (credit: J. P. Eaton, U.S. Geological Survey)
Equation Transcription:
Text Transcription:
5 times 10^5 m^3
1200 degrees C
2700 kg/m^3
30 degrees C
14.34
ANSWER:
Solution