(Solved): Show all work. 4.9 The Stefan-Boltzmann law can be employed to estimate the rate of radiation of ...

Show all work.

4.9 The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy $$H$$ from a surface, as in $$H=Ae?T^4$$ where $$H$$ is in watts, $$A=$$ the surface area $$\left(m^2\right),e=$$ the emissivity that characterizes the emitting properties of the surface (dimensionless), $$?=$$ a universal constant called the Stefan-Boltzmann constant $$\left(=5.67\times 10^{?8}\mathrm{W}{\mathrm{m}}^{?2}{\mathrm{K}}^{?4}\right)$$, and $$T=$$ absolute temperature (K). Determine the error of $$H$$ for a steel plate with $$A=0.15{\mathrm{m}}^2$$, $$e=0.90$$, and $$T=650\pm 20$$. Compare your results with the exact error. Repeat the computation but with $$T=650\pm 40$$. Interpret your results. 4.10 Repeat Prob. 4.9 but for a copper sphere with radius $$=0.15\pm 0.01\mathrm{m},e=0.90\pm 0.05$$, and $$T=550\pm 20$$.