Answer Happy

A thin metal spherical shell with radius of R. and filled with N monatomic ideal gas molecules is brought to the outer space. The sphere receives thermal radiation of the sun, through an effective area of R². At the same time, the sphere creates its own radiation with a black body spectrum. Assume the sun has a radius of R, and temperature T₁. Answer the following questions. The Stefan-Boltzmann constant is o, you do not need to apply its numerical value. (2pt) Suppose the sphere is a distance of d away from the center of the sun. Calculate the amount of radiation power received by the sphere. • (2pt) At equilibrium, the radiation power received and emitted by the sphere must be equal. Calculate the equilib rium temperature of the sphere. • (2pt) If we want to reduce the peak wavelength of the sphere radiation by half, where should we move the sphere to? (2pt) Find the pressure P of the ideal gas, and sketch P as a function of d, the sphere's distance to the sun. Is N, P,T Rs R d Figure 2: A space kettle.