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The Sun radiates like a perfect black body with an

Chapter 14, Problem 62

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QUESTION:

The Sun radiates like a perfect black body with an emissivity of exactly \(1\).

(a) Calculate the surface temperature of the Sun, given that it is a sphere with a \(7.00 \times 10^{8} \mathrm{-m}\) radius that radiates \(3.80 \times 10^{26} \mathrm{~W}\) into \(3-K\) space.

(b) How much power does the Sun radiate per square meter of its surface?

(c) How much power in watts per square meter is that value at the distance of Earth, \(1.50 \times 10^{11} \mathrm{~m}\) away? (This number is called the solar constant.)

Equation Transcription:

Text Transcription:

1

7.00 times 10^8 -m

3.80 times 10^26 W

3-K

1.50 times 10^11 m

Questions & Answers

QUESTION:

The Sun radiates like a perfect black body with an emissivity of exactly \(1\).

(a) Calculate the surface temperature of the Sun, given that it is a sphere with a \(7.00 \times 10^{8} \mathrm{-m}\) radius that radiates \(3.80 \times 10^{26} \mathrm{~W}\) into \(3-K\) space.

(b) How much power does the Sun radiate per square meter of its surface?

(c) How much power in watts per square meter is that value at the distance of Earth, \(1.50 \times 10^{11} \mathrm{~m}\) away? (This number is called the solar constant.)

Equation Transcription:

Text Transcription:

1

7.00 times 10^8 -m

3.80 times 10^26 W

3-K

1.50 times 10^11 m

ANSWER:

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