For a black body, Stefan-Boltzmann's law predicts that radiation is equal to P = ?AZ, where ? is 5.7x10^-8W*m^-2*K^-4, also known as Stefan's constant. A is the area and Z is a constant describing the difference between the black body temperature and that of the surrounding environment. Given this information, Z = 1.5 x 10⁹ and the area of an average human child as 1.0 m², how much radiation energy does a child emit?

Question

Quizplus · Accepted Answer

A human child would emit about 85 watts of energy. Using the equation, we can plug in the constants given to find that P = 5.7 x 10-8 * 1.5 x 10⁹ * 1. Canceling out the exponents, the simplified equation is 5.7 x 15 x 1 = 85.5 watts.

For a Black Body, Stefan-Boltzmann's Law Predicts That Radiation Is