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A cylindrical nuclear fuel rod of 1 cm in diameter is encased in a concentric tube of 2 cm in diameter, where cooling water flows through the annular region between the fuel rod (k = 30 W/m·K) and the concentric tube. Heat is generated uniformly in the rod at a rate of 50 MW/m^{3}. The convection heat transfer coefficient for the concentric tube surface is 2000 W/m^{2} ·K. If the surface temperature of the concentric tube is 40°C, determine the average temperature of the cooling water. Can one use the given information to determine the surface temperature of the fuel rod? Explain.
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