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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 $7.00\times 10^{8}\textrm{ m}$ radius that radiates $3.80\times 10^{26}\textrm{ W}$ 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, $1.50\times 10^{11}\textrm{ m}$ away? (This number is called the solar constant.)
1. $5.74\times 10^{3}\textrm{ K}$
2. $6.17\times 10^{7}\textrm{ W/m}^2$
3. $1.32\times 10^{3}\textrm{ W/m}^2$
Solution Video