Ariver flows over a waterfall with an elevation difference of 65m. you decide to install a pelton turbine to take advantage of this elevation difference and generate electricity. recall bernouilli's equation between two points connected by a newtonian fluid: (a) you choose to install a 4-inch pipe to carry water down to the turbine. the pipe is straight and has length 80m. estimate the water velocity at the pipe exit before it hits the pelton wheel, ignoring minor losses. hint: here, ht-hm-0. assume a friction factor of f = 0.01 to estimate the major loss il (b) estimate the power produced, in kw, if the pelton turbine has efficiency 88%.

Consider a power plant with water as the working fluid that operates on an ideal rankine cycle. it has a net power output of 45mw. superheated steam enters the turbine at 7mpa and 500°c (h=3411.4 kj/kg; s=6.8 kj/kg k) and is cooled in the condenser at a pressure of 10 kpa by running cooling water from a lake through the tubes of the condenser at a rate of 2000 kg/s. (a) show the cycle on a t-s diagram (a right schematic is fine - you do not need to calculate the temperatures at each point); (b)-determine the work done by the turbine and the pump in kj/kg; (c)-the mass flow rate of water used by the power plant; (d)-the thermal efficiency of the cycle; (e)-the temperature rise of the cooling water. assume the cooling water is incompressible with cp 4.18 kj/kg°c.