Pipes with inner and outer diameters of 50 mm and 60 mm, respectively, are used for transporting superheated vapor in a manufacturing plant. The pipes with thermal conductivity of 16 W/m⋅K are connected together by flanges with combined thickness of 20 mm and outer diameter of 90 mm. Air condition surrounding the pipes has a temperature of 25°C and a convection heat transfer coefficient of 10 W/m²⋅K. If the inner surface temperature of the pipe is maintained at a constant temperature of 150°C, determine the temperature at the base of the flange and the rate of heat loss through the flange.

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D = 90 mm D₁ = 50 mm FIGURE P17-118 D₁ = 60 mm ↑ Air, 25°C h = 10 W/m² K -T₁= 150°C -Pipe, k 16 W/m-K 120 mm