6. Stefan-Boltzmann Law

The radiation energy emitted by a blackbody at any absolute temperature \(T\), over all wavelengths per unit unit time per unit area is obtained by integrating the Planck’s distribution law from \(\lambda=0\) to \(\lambda=\infty\), and given as \[\boxed{E_b(T) = \sigma T^4 \qquad \text{W/m$^2$}}\] where

\(T\) = temperature in Kelvin
\(\sigma\) = \(5.67\times10^{-8}\) W/(m\(^2\).K\(^4\)), the Stefan-Boltzmann constant.