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The surface of the Sun has a temperature of 5500 °C. (a)

Chapter 16, Problem 86GP

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QUESTION:

Problem 86GP

The surface of the Sun has a temperature of 5500 °C. (a) Treating the Sun as a perfect blackbody, with an emissivity of 1.0, find the power that it radiates into space. The radius of the Sun is 7.0 × 108 m, and the temperature of space can be taken to be 3.0 K. (b) The solar constant is the number of watts of sunlight power falling on a square meter of the Earth's upper atmosphere. Use your result from part (a) to calculate the solar constant, given that the distance from the Sun to the Earth is 1.5 × 1011 m.

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QUESTION:

Problem 86GP

The surface of the Sun has a temperature of 5500 °C. (a) Treating the Sun as a perfect blackbody, with an emissivity of 1.0, find the power that it radiates into space. The radius of the Sun is 7.0 × 108 m, and the temperature of space can be taken to be 3.0 K. (b) The solar constant is the number of watts of sunlight power falling on a square meter of the Earth's upper atmosphere. Use your result from part (a) to calculate the solar constant, given that the distance from the Sun to the Earth is 1.5 × 1011 m.

ANSWER:

Step 1 of 3

(a) The equation for net radiated power is given by

Where

 

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