Electrical Power Plant

A deep well pumps water into an open reservoir at the rate of 100 gpm. The water table is 200 ft below the output pipe. The system has an overall efficiency of 70%. What shall be the minimum hp of the pump?

A pump requires 100 hp to move water with a specific gravity of 1.0 at a certain flow rate to a given elevation. What horsepower does the pump require if the flow rate and elevation conditions are the same but the fluid pumped has a specific gravity of 0.8?

An electric motor is used to pump water from a well 40 ft deep. The amount of water pumped per hour to the ground level is 237,000 gallons. What is the Hp of the motor assuming there is no power loss?

A pump, driven by 440 V, 3-phase induction motor lifts 1,100 cubic feet of water per minute against a total head of 100 ft of water. The efficiency of the pump and that of its motor are 0.75 and 0.92 respectively. The power factor of the motor is 0.9. Calculate the cost of operating the pump for 24 hours a day duty when power costs P 0.30 per kW-hr.

A natural waterfalls, 50 meters high, consistently discharges 1.3 m³ per second. A mini hydroelectric plant is to be constructed at the bottom of the waterfalls. Calculate the electric generator kW rating, assuming 90% mechanical to electrical conversion efficiency and water turbine design efficiency of 70%.

A power plant gets water from a dam from a height of 122.45 m at the rate of 1000 cubic meters per minute. If the output of the plant is 15,000 kW, what is the plant efficiency?

Calculate the current taken by a motor at 440 V having an efficiency of 90%. Moreover the motor is used to drive a pump, which lifts 240,000 kg of water per hour to a height of 30 meters. The pump is given to be 80% efficient.

A three-phase motor driven pump at 1,800 rpm is discharging 500 gpm of water at a head of 25 meters. The pump efficiency is 75%. Determine the hp of the motor.

A hydroelectric station has a turbine efficiency of 80% and a generator efficiency of 85%. Determine the volume of water required when delivering a load of 40 MW for 6 hours if its effective head is 120m. Water weighs \(1200\text{ kg/m}^3\).

A hydroelectric power plant is to be constructed. The place has an annual rainfall of 190 cm. The available catchment area is 250 sq. km with an available head of 30 meters. On the average, only 85% of the rainfall can be collected in and 70% of the impounded water is available for power. Assuming turbine and generator efficiencies of 80% and 92% respectively, what will be the average power generated.

A 100 MW hydroelectric station is supplying full load for 10 hrs. in a day. Calculate the volume of water, which has been used. Assume effective head of the water as 200 m and the overall efficiency of the station as 80%. Assume \(1\text{ m}^3\) of \(\text{water} = 1000\text{ kg}\).

A farmer has a small stream on his property, which he thinks might supply enough power to light his farm load. The stream was found to be flowing at \(0.05\text{ m}^3\text{/sec}\). The available fall is 5 m. A small hydraulic turbine and generator will have a combined efficiency of 75%. Assuming a transmission line efficiency of 82%, how many 50-W lamps can be served by the generator simultaneously?

A waterfall is 60 meters high. It discharges at a constant rate of 1.0 cubic meter per second. A mini-hydro electric plant is to be constructed below the waterfalls. The turbine efficiency is 80% and the generator efficiency is 95%. Calculate the kW output of the generator.

Maria Cristina falls located at south has a height of 100 meters, it discharges at constant rate \(2.5\text{ m}^3\text{/sec}\). National Power corporation has construct a hydroelectric plant below the water falls. If the turbine efficiency is 70% and generator efficiency is 90%, calculate the annual energy in kW-hr, if the discharge rate is constant throughout the year. Assume specific gravity constant.

A natural waterfall, 50 meters high, consistently discharges \(1.3\text{ m}^3\) per second. A mini hydroelectric plant is to be constructed at the bottom of the waterfalls. Calculate the annual energy in kW-hr that can be generated by the power plant. Assume the turbine and generator efficiencies equal to 70% and 90%, respectively.

A water turbine operating at 85% efficiency is under a head of 100 m. If the constant discharge is 1000 gal/sec, evaluate the operating speed of the turbine.

A mini-hydroelectric power plant is under a head of 275 feet. The turbine efficiency is 0.85 and the generator efficiency is 0.80. If the turbine speed is limited to 450 rpm, calculate the generator kW output.

A power plant gets water from a dam from a height of 100 meters at the rate of 1000 cubic meters per minute. If the overall efficiency of the plant is 75%, what is the kW output of the plant?

A power plant consumes 100,000 pounds of coal per hour. The heating value of the coal is 12,000 BTU per pound. The overall plant efficiency is 30%. What is the kW output of the plant?

A power plant has a fuel consumption of 1 pound per kW-hr generated. Determine the heating value of the fuel used in BTU per pound. The overall efficiency of the plant is 36%.