Praxis II General Science

Category - Physics

For a black body, Stefan-Boltzmann’s law predicts that radiation is equal to P = σAZ, where σ is 5.7x10-8 W*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?
  1. 50 watts
  2. 85 watts
  3. 140 watts
  4. 251 watts
  5. 300 watts
Explanation
Answer: B - 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.
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