The man who deduced this law applied it to Charles Soret's bolometric data to generate an estimate of the temperature of the sun.
This law can be derived from the first law of thermodynamics by using a Maxwell relation to replace the partial derivative of entropy with respect to volume at constant temperature, and expressing the radiation pressure as one-third the energy density. The man who deduced this law applied it to Charles Soret's bolometric data to generate an estimate of the temperature of the sun. Its namesake constant equals one-fourth the speed of light times the radiation constant, and is approximately 5.67 times ten to the minus eight watts per meter squared per kelvin to the fourth. For 10 points, name this law that the irradiance of a black body is proportional to the fourth power of its thermodynamic temperature.
This law can be derived from the first law of thermodynamics by using a Maxwell relation to replace the partial derivative of entropy with respect to volume at constant temperature, and expressing the radiation pressure as one-third the energy density.
Stefan-Boltzmann law [or Stefan's law]