Hot exhaust gases of a stationary diesel engine are to be used to generate steam in an evaporator. Exhaust gases (c_p = 1051 J/kg·K) enter the heat exchanger at 550°C at a rate of 0.25 kg/s while water enters as saturated liquid and evaporates at 200°C (h_fg = 1941 kJ/kg). The heat transfer surface area of the heat exchanger based on water side is 0.5 m² and overall heat transfer coefficient is 1780 W/m²·K. Determine the rate of heat transfer, the exit temperature of exhaust gases, and the rate of evaporation of water.