Hot exhaust gases of a stationary diesel engine are to be used to generate steam in an evaporator. exhaust gases (cp = 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 (hfg = 1941 kj/kg). the heat transfer surface area of the heat exchanger based on the water side is 0.5 m2 , and the overall heat transfer coefficient is 1780 w/m2 ·k. determine the rate of heat transfer, the exit temperature of the exhaust gases, and the rate of evaporation of the water.