Question

How did Stefan Boltzmann find the constant to the Stefan Boltzmann law?

Answer 1

Please see the explanation ...

Explanation:

The Stefan-Boltzmann constant is named after two individuals - Joseph Stefan who empirically found this constant and Ludwig Boltzmann who derived it from the first principles.

A detailed history of this important constant and its significance is presented in the following work :

A Brief History Of The `T^4` Radiation Law :
http://webpages.uidaho.edu/~crepeau/ht2009-88060.pdf

Interesting Point: Written to three significant figures, the value of Stefan-Boltzmann constant is `\sigma=5.67\times10^{-8}\quad kg.s^{-3}K^{-4}`.

A number easy to remember : the 567-8 constant