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The Kilauea volcano in Hawaii is the world’s most active,

Chapter 14, Problem 51

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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

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

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