The Chao Phraya, separating Bangkok from Udonthani, flows from Nong Khai to Sakonnakon. These lakes differ in elevation by about 200 m. Most of this drop occurs over Chao Phraya Falls and in the rapids just above and below the falls, creating a natural opportunity for hydroelectric power generation. The hydroelectric power plant draws water from the river well above the falls and discharges it well below them. It has a peak capacity of 2300 000 kW at a maximum water flow of 3100 000 kgs-1. In the following, take 1 kg of water as the system. (10 points) (a) What is the potential energy of the water flowing out of Nong Khai, relative to the surface of Lake Sakonnakon? (b) At peak capacity, what fraction of this potential energy is converted to electrical energy in the hydroelectric power plant? (c) If the temperature of the water is unchanged in the overall process, how much heat flows to or from it? (10 Points)