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- An 80-percent-efficient pump with a power input of 20 hp is pumping water from a lake to a nearby pool at a rate of 1.5 ft3 /s through a constant-diameter pipe. The free surface of the pool is 80 ft above that of the lake. Determine the mechanical power used to overcome frictional effects in piping.In a hydroelectric power plant, 100 m3/s of water flows from an elevation of 120 m to a turbine, where electric power is generated . The total irreversible head loss in the piping system from point 1 to point 2 (excluding the turbine unit) is determined to be 35 m. If the overall efficiency of the turbine–generator is 80 percent, estimate the electric power output.Explain the difference between an open system and an isolated system with examples.
- A U-shaped tube is filled with water of density 1000 kg/m3 until the level of the liquid is 28 cm above the bottom of the tube. Then oil of specific gravity 0.78 is poured into one branch of the tube until the level of the liquid in the other branch is 34 cm above the bottom of the tube. (g=9.8m/s2) I) Find the level of the oil-water interface in the branch where the oil was spilled II) Find the level of the oil-air interface in the branch where the oil was spilledA differential thermocouple with sensors at the inlet and exit of a pump indicates that the temperature of water rises 0.048° F as it flows through the pump at a rate of 1.5 ft3/s. If the shaft power input to the pump is 23 hp and the heat loss to the surrounding air is negligible, determine the mechanical efficiency of the pump.Problem 8The demand for electric power is usually much higher during the day than it is at night, andutility companies often sell power at night at much lower prices to encourage consumers to usethe available power generation capacity and to avoid building new expensive power plants thatwill be used only a short time during peak periods. Utilities are also willing to purchase powerproduced during the day from private parties at a high price. Suppose a utility company is selling electric power for $0.07/kWh at night and is willing to pay $0.15/kWh for power produced during the day. To take advantage of this opportunity, an entrepreneur is considering building a large reservoir 100 m above the lake level, pumping water from the lake to the reservoir at night using cheap power, and letting the water flow from the reservoir back to the lake during the day, producing power as the pump–motor operates as a turbine–generator during reverse flow. Preliminary analysis shows that a water flow…
- The pump of a water distribution system is powered by a 15-kW electric motor whose efficiency is 90 percent. The water flow rate through the pump is 50 L/s. The diameters of the inlet and outlet pipes are the same, and the elevation difference across the pump is negligible. If the pressures at the inlet and outlet of the pump are measured to be 100 kPa and 300 kPa (absolute), respectively, determine the mechanical efficiency of the pump.Give examples of pump efficiency and turbine efficiency?Include a free body diagramA liquid of specific gravity of 1.75 flows in a 6 cm horizontal pipe. The total energy at certain point in the flow is 80 J/N (joules/newton). The elevation of the pipe above the fixed datum is 2.6 m. If the pressure is 75 kPa. Determine the power available at the specified point in kW.A. 146.96 B. 142.25C. 144.22D. 148.91
- A fan is to be selected to ventilate a bathroom whose dimensions are 2 m × 3 m × 3 m. The air velocity is not to exceed 7 m/s to minimize vibration and noise. The combined efficiency of the fan–motor unit to be used can be taken to be 50 percent. If the fan is to replace the entire volume of air in 15 min, determine (a) the wattage of the fan–motor unit to be purchased, (b) the diameter of the fan casing, and (c) the pressure difference across the fan. Take the air density to be 1.25 kg/m3 and disregard the effect of the kinetic energy correction factors.When water is pumped into a water tank 20 m above a lake with a flow rate of 70 l/s, 20.4kW of electrical power is consumed. Determine the efficiency of the pump-motor group by ignoring the friction losses in the pipes and the change in kinetic energy. Determine the pressure difference between the inlet and outlet of the pump.When water is pumped into a water tank 20 m above a lake with a flow rate of 70 l/s, 20.4kW of electrical power is consumed. Determine the efficiency of the pump-motor group by ignoring the friction losses in the pipes and the change in kinetic energy.