What is the maximum electric power (per kilogram of water) that can be obtained from the hydroelectric power station located at the foot of a 300 m dam in Figure P10.23. Water at 15°C and 101 kPa...

What is the maximum electric power (per kilogram of water) that can be obtained from the hydroelectric power station located at the foot of a 300 m dam in Figure P10.23. Water at 15°C and 101 kPa enters the pipe at the top of the dam and fl ows downward, passing through a turbine and then out into a river. Assume that the pipe diameter is constant throughout (both inlet and outlet) and that the pressure and the temperature of the water at the outlet are approximately equal to those at the inlet, that is, 101 kPa and 15°C. The turbine drives a generator that produces the electric power output.

a. Derive an expression for the maximum power output; clearly state any additional assumptions which you may make. b. From this expression fi nd the magnitude of maximum power (per kilogram of water)