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The sun radiates like a perfect blackbody with an emissivity of exactly 1.

(a) Calculate the surface temperature of the sun, given it is a sphere with a 7.00 x 10⁸m radius that radiates 3.80x10²⁶W 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 this at the distance of the earth, 1.50 x 10¹¹ m away? (This number is called the solar constant.)

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