A 0.2-m-long and 25-mm-thick vertical plate (k = 1.5 W/m ∙ K) separates the hot water from the cold air at 2°C. The plate surface exposed to the hot water has a temperature of 100°C, and the surface exposed to the cold air has an emissivity of 0.73. Determine the temperature of the plate surface exposed to the cold air (T_s,c). The T_s,c has to be found iteratively. Start the iteration process with an initial guess of 51°C for the T_s,c .

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Hot water 100°C Plate, & = 0.73 Cold air 2°C TS.C 7 Tsurr