Chapter 4, Problem 9P

The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface, as in

$H=Ae\sigma T^4$

whereH is in watts, $A=$ the surface area $\left(m^2\right),e=$, the emissivity that characterizes the emitting properties of the surface (dimensionless), $\sigma =$ a universal constant called the Stefan-Boltzmann constant $\left(=\text{5}\text{.67}\times {\text{10}}^{-8}{\text{Wm}}^{-2}{\text{K}}^{-4}\right),\text{ and }T\text{=}$ absolute temperature (K). Determine the error of H for a steel plate with $A=0.15{\text{m}}^2,e=0.90,\text{ and }T=650\pm 20$. Compare your results with the exact error. Repeat the computation but with $T=650\pm 40$. Interpret your results.