Stefan-Boltzmann Law
What is the Stefan-Boltzmann Law?
The Stefan-Boltzmann Law states that the total amount of energy emitted per unit time and per unit area of a blackbody is proportional to the fourth power of the temperature the black body.
What is the formula for the Stefan-Boltzmann Law?
The mathematical formula for Stefan-Boltzmann Law is given by
P = σAT4
Where,
- P is the power radiated,
- A is the surface area of the black body,
- T is the temperature of the body and
- σ is the Stefan-Boltzmann constant.
Does the Stefan-Boltzmann Law apply to Non-Blackbody Objects?
The Stefan-Boltzmann Law applies to all real objects but as real objects do not absorb the complete radation (emissivity <1), so radiation emitted by non-blackbody objects may not be proportional to the fourth power of their temperature.
What is the value of the Stefan-Boltzmann constant?
The value of the Stefan-Boltzmann constant in SI unit system is approximately 5.67 x 10-8 watts per square meter per Kelvin to the fourth power (W/(m2K4)).
How is the Stefan-Boltzmann constant derived?
The one way, Stefan-Boltzmann constant is derived from the improper integration of Planck’s Radiation Formula.
What is a Black Body?
A black body is an ideal object which can absorb all the radiation that falls on it, emits that absorb radiation at all wavelengths.
Can the Stefan-Boltzmann Law be used to calculate the temperature of a blackbody?
Yes, the Stefan-Boltzmann Law can be used to calculate the temperature of a blackbody if the total power emitted and its surface area are known. We can use the following formula for the same:
T = (P/σA)1/4
Stefan-Boltzmann Law
Stefan-Boltzmann Law relates the power radiated by the black body to its temperature and surface area. In the study of thermodynamics and astrophysics, the Stefan-Boltzmann Law is widely used to better our understanding of the subject. Other than this, Stefan-Boltzmann Law helps scientists understand the behavior of objects that emit radiation, such as stars and planets. Stefan-Boltzmann Law also has some applications in the real world as well such as, in designing solar panels and other energy conversion instruments.
Table of Content
- What is Stefan-Boltzmann Law?
- Formula for Stefan-Boltzmann Law
- Stefan-Boltzmann Constant
- Value of Stefan-Boltzmann Constant
- Formula for Stefan-Boltzmann Constant
- Black Body Radiation
- Planck’s Law for Black Body Radiation
- Derivation of Stefan-Boltzmann Constant
- Calculation of Stefan-Boltzmann Constant
- Applications of Stefan-Boltzmann Law
- Sample Problems on Stefan-Boltzmann Law