Consider a closed loop heat exchanger that carries exit water (c_p = 1 Btu/lbm·°F and ρ = 62.4 lbm/ft³) of a condenser side initially at 100°F. The water flows through a 500 ft long stainless steel pipe of 1 in inner diameter immersed in a large lake. The temperature of lake water surrounding the heat exchanger is 45°F. The overall heat transfer coefficient of the heat exchanger is estimated to be 250 Btu/h·ft²·°F. What is the exit temperature of the water from the immersed heat exchanger if it flows through the pipe at an average velocity of 9 ft/s? Use ε-NTU method for analysis.