Stefan-Boltzman Law

  • The Stefan-Boltzman law relates the total amount of radiation emitted by an object to its temperature:

E=sT4

where:

E = total amount of radiation emitted by an object per square meter (Watts m-2)

s is a constant called the Stefan-Boltzman constant = 5.67 x 10-8 Watts m-2 K-4

T is the temperature of the object in K

Consider the earth and sun:

Sun: T = 6000 K

so E = 5.67 x 10-8 Watts m-2 K-4 (6000 K)4 = 7.3 x 107 Watts m-2

Q: is this a lot of radiation??? Compare to a 100 Watt light bulb.....

Earth: T = 288K

so E = 5.67 x 10-8 Watts m-2 K-4 (288 K)4 = 390 Watts m-2

Q: If you double the temperature of an object, how much more radiation will it emit?  ANSWER