The Death Star is a spatial station that travels though the space towards the Alderaan planet, with the target of destro

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The Death Star Is A Spatial Station That Travels Though The Space Towards The Alderaan Planet With The Target Of Destro 1 (162.54 KiB) Viewed 25 times

The Death Star is a spatial station that travels though the space towards the Alderaan planet, with the target of destroying it by using the Superlaser Weapon if the Rebel Alliance does not yield to the demands of the Galactic Empire. The activation of the Superlaser Weapon produces an overheating of the regions close to the core of the Death Star, which makes impossible the presence of Imperial troops in those regions. Consider the Death Star as a perfect sphere of external radius r2 = 60 km. As shown in the figure, the interior is made of a spherical core of radius r = 40 km, where it is generated the power of the Superlaser Weapon. Then there is a shell, also spherical, of internal radius r, and external radius r2, where the Imperial troops work. The thermal conductivity of the shell can be considered k 100 W/(mK). Tesp T20 120 Ti0 810 The spatial station can only dissipate heat by means of radiation to the deep space. The emissivity of the external surface of the spatial station is & = 0.8 and it can be considered an effective radiation temperature of the deep space (black body) of Tsp = 3 K. The temperature of the external surface of the space station is kept at T₂ = 73 K. a) Calculate the thermal power dissipated to the space by radiation and the temperature at r₁ (T₁). (1 point) b) Taking into account that the Imperial troops can work in a temperature range of Tic=40 °C and T2c = 0 °C, calculate ric and r2e to know the zone in which the Imperial troops can work. (2 points) Data: 1/r1-1/r2 4πK Stefan-Boltzmann constant: o-5.67x10-8 W/m²K4 Conduction thermal resistance of a shell in spherical coordinates: R =