The temperature within the Earth’s crust increases about 1.0 C° for each 30 m of depth

Chapter 14, Problem 61GP

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QUESTION:

Problem 61GP

The temperature within the Earth’s crust increases about 1.0 C° for each 30 m of depth. The thermal conductivity of the crust is 0.80W/C° · m. (a) Determine the heat transferred from the interior to the surface for the entire Earth in 1 day. (b) Compare this heat to the amount of energy incident on the Earth in 1 day due to radiation from the Sun.

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QUESTION:

Problem 61GP

The temperature within the Earth’s crust increases about 1.0 C° for each 30 m of depth. The thermal conductivity of the crust is 0.80W/C° · m. (a) Determine the heat transferred from the interior to the surface for the entire Earth in 1 day. (b) Compare this heat to the amount of energy incident on the Earth in 1 day due to radiation from the Sun.

ANSWER:

Solution 61GP

Step 1 of 5

The objective here is to determine the heat transferred from the interior of the Earth to the surface of Earth in one day under the given conditions. Further, we need to compare this amount of heat with the amount of heat energy incident on the Earth due to solar radiation in one day.

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