A long cylindrical rod of diamcter 200 mm with thermal conductivity of 0.5 W/m-K experiences uniform volumetric heat generation of 24,000 W/m. The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/m-K. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m²-K. Assuming steady state conditions, a) Find the temperature at the interface between the rod and the sleeve and on the outer surface b) What is the temperature at the center of the rod?

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