6. (4 pts) You decide to build a solar powered unit that will provide hot water for your house. See diagram below. 444 Tin supply * 0.16 ku .80m To tank Tout 4010 losses In this part of the Midwest, the average global horizontal solar irradiance is about 0.16 kW/m. You decide to use half the surface area of your roof for this project, which is about 80 m. The inlet supply water is at 15 C, and you want the hot water to be at 60 C. Your hot water tank is 40 gallons. Assuming heat losses of 40% (typical for such installations), how long will it take for you to fill up an empty water tank with 60 C water? State any assumptions you make