A 0.2-m-long and 25-mm-thick vertical plate (k = 15 W/m ∙ K) separates the hot water from the cold water. The plate surface exposed to the hot water has a temperature of 100°C, and the temperature of the cold water is 7°C. Determine the temperature of the plate surface exposed to the cold water (T_s,c). The T_s,c has to be found iteratively. Start the iteration process with an initial guess of 53.5°C for the T_s,c.