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# Problem: The radius of our Sun is 6.96 108 m, and its total power output is 3.85 x 1026 W. (a) Assuming the Sun's surface emits as a black body, calculate its surface temperature. K (b) Using the result of part (a), find λmax for the Sun.

###### FREE Expert Solution

(a)

Stefan-Boltzmann law:

$\overline{){\mathbf{P}}{\mathbf{=}}{\mathbf{A}}{\mathbf{e}}{\mathbf{\sigma }}{{\mathbf{T}}}^{{\mathbf{4}}}}$

For black body emission, e = 1

σ = 5.6696 × 10-8 W/m2•K4

A = 4πRsun2

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###### Problem Details

The radius of our Sun is 6.96 108 m, and its total power output is 3.85 x 1026 W.

(a) Assuming the Sun's surface emits as a black body, calculate its surface temperature. K

(b) Using the result of part (a), find λmax for the Sun.

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