7. Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having a diameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point in between A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as water travelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second. A 181 B. 200 C. 129 D. 143

7. Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having a diameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point in between A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as water travelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second. A 181 B. 200 C. 129 D. 143

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter18: Energy Storage

Section: Chapter Questions

Problem 20P

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Two reservoirs A and B have elevations of 250 m and 100 m, respectively. It is connected by a pipe having adiameter of 250 mm and a length of 100 m. A turbine, with an efficiency of 0.95, which is installed at a point inbetween A and B, is used to supply 233 kW of electric power to a nearby community. If the total head loss as watertravelled from reservoir A to B is 25 m, determine the discharge inside the pipe in liters per second.
From a reservoir whose surface elevation is at 30 m, water is pumped to an elevated reservoir at an elevation of 95 m. The head loss in the 60 cm diameter suction pipe is 10 m and that of the 50 cm discharge pipe is 15 m. Determine the following if the discharge is to be maintained at 480 liters per second. Assume total head loss between the two reservoirs is 20 m. Compute the power input of the pump assuming it operates at 80% efficiency.
Two reservoirs A and B have elevations of 250 m and 100 m,respectively. The two tanks are connected by a 250-mm diameterpipe, 250-m long, with a turbine placed along its length. If the flow ofwater in the pipe is 140 L/s and C = 120, then:Determine the power output of the turbine in kW if the efficiency ofthe turbine is 85%.
Two reservoirs A and B have elevations of 250m and 100m respectively. It is connected by a pipe having a diameter of 250mm and a length of 100m. A turbine is installed at point in between reservoirs A and B. If C = 120, compute the following if the discharge flowing in the pipeline is 150 liters/sec. Compute the power generated by the turbine.
1. A turbine is installed between reservoirs A and B whose difference in elevation is 140m. The pipe connecting the reservoir has a diameter of 250mm and is 180m long. The volumetric flowrate is 180L/s. Is the Hazen-Williams Coefficient is 100, determine the head loss in the pipe, head extracted by the turbine, and power generated by the turbine if it has an efficiency of 90%.
In a hydroelectric power plant, water at 4°C is supplied to the turbine at a rate of 0.58 m³/s through a 195 m-long and 0.34 m-diameter cast iron pipe, as shown in the following figure.. The elevation difference between the free surface of the reservoir and the turbine discharge is 135 m, and the combined turbine-generator efficiency is 85 percent. Disregarding the minor losses due to the large length-to-diameter ratio of the pipe, determine the electric power output of this plant. The density and dynamic viscosity of water at 4°C are p = 1,000 kg/m³ and μ = 1.6×10-³ kg/m-s, and the roughness of the cast iron pipe is & 0.00026 m. = Water 135 m 195 m 0.34 m Turbine
At a potential hydro-plant site, the average elevation of headwater is 582m, the tailwater is 480m. The average annual water flow was determined to be equal to that volume flowing through a rectangular channel 8.15m wide, a depth of 1.22m and the velocity is 4.6m. The turbine efficiency is 87%, generator efficiency is 95%, and a head loss is 3.5% of the gross head. Find the following: a. the generator power in kW 44,150 28,206 36,490 b. the annual energy (kWH per year) that can be produced if the plant operation is 345 days per year 235,154,731 302,142,714 244,334,189 c. the annual income of the plant if the cost of the energy produced is P0.60 per kW-hr 141,092,838 181,285,628 162,653,256
2.1 A hydro-electric power station has a reservoir area of 2.7 km² and a capacity of 4.6 x 106m³. The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively. Instructions :round off to 2 decimal places 1. Determine the total electrical energy that can be generated from the power station (kWh). 2. Determine the depth of the reservoir (metres) 3.Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).
A hydroelectric power plant operates under a discharge of 500 cfs with 90 % turbine efficiency. The overall head loss is 1.5 times the velocity head in the 7-ft-diameter penstock. With the conditions stated, determine the following: (a.) the power input (hp) to the turbine, and (b.) the power output (hp) expected from the turbine. 30 ft Water d = 7 ft 5 ft
PROBLEM E A hydroelectric power plant operates under a discharge of 500 cfs with 90 % turbine efficlency. The overall head loss Is 1.5 times the velocity head In the 7-ft-dlameter penstock. With the conditions stated, determine the following: (a) the velocity (ft/s) In the penstock, (b) the head loss (ft). (c) the head (ft) extracted by the turbine, (d) the power Input (hp) to the turbine, and (e) the power output (hp) expected from the turbine. 30 ft Water d=7 ft 5 ft
A powerhouse is equipped with impulse turbines of Pelton type. Each turbine delivers a power of 14 MW when working under a head of 900 m and running at 600 rpm. Find the diameter of the jet and the mean diameter of the wheel. Assume that overall efficiency is 89%, velocity coefficient of jet 0.98, and speed ratio 0.46. (Answer: 132 mm, 1.91 m; respectively)
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