Room temperature objects at 300 K and the sun at 5777 K each radiate thermal energy, but Planck's law, egn. (1.30), show
Posted: Sat Feb 19, 2022 3:33 pm
- Room Temperature Objects At 300 K And The Sun At 5777 K Each Radiate Thermal Energy But Planck S Law Egn 1 30 Show 1 (83.93 KiB) Viewed 52 times
Room temperature objects at 300 K and the sun at 5777 K each radiate thermal energy, but Planck's law, egn. (1.30), shows that the wavelengths of importance are quite different. a. Find A max in micrometers for each of these temperatures from Wien's Law, eqn. (1.29). b. Using a spreadsheet or other software, plot egn. (1.30) for T - 300 K as a function of wavelength from 0 to 50 um and for T - 5777 K for wavelengths from 0 to 5 pm. c. By numerical integration, find the total area under each of these curves and compare the value to the Stefan-Boltzmann law, egn. (1.28). Explain any differences. d. Show that about 14 of the area under each curve is to the left of max (in other words, 14 of the energy radiated is on wavelengths greater than Amax). e. What fraction of the energy radiated by the 300 K surface is carried on wavelengths less than 4 um? What fraction of the energy radiated by the 5777 K surface is on wavelengths greater than 4 um? 15777 K: 1%)