A spent nuclear fuel (rho = 18,000 kg/m3, c = 350 J/(kg·K), k = 25 W/(m·K)) cylinder with length of 200 mm and diameter of 20 mm dissipates 2 kW of heat and is initially submerged in water at 20˚C with convection heat transfer coefficient of 500 W/(m2K). If the water flow is accidentally lost the fuel is exposed to air at 20˚C but with convection heat transfer coefficient of 50 W/(m2K). (a) What is the steady-state surface temperature of the fuel in water? (b) What is the steady-state surface temperature of the fuel in air? (c) How long after water cooling is lost will it take for the fuel to reach 1ºC below its steady-state value in air?