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Water is being pumped from a large lake to a reservoir 25 m above at a rate of 25 L/s by a 16-kW (shaft) pump. If the irreversible head loss of the piping system is 5 m, determine the mechanical efficiency of the pump.

Respuesta :

Answer:

efficiency = 73.6 %

Explanation:

given data

height = 25 m

flow rate = 25 L/s = 0.025 m³/s

head loss = 5 m

power = 16-kW (shaft)

to find out

mechanical efficiency of the pump

solution

we first find total head that need to supply that is = 25 + 5

total head Hm = 30

so now water power due to Hm is

water power = wQHm

water power = 1000 × 0.025 × 9.8 × 30

water power = 9.36 kW

so

efficiency of pump will be

efficiency = [tex]\frac{water \ power}{given \ power}[/tex]

efficiency = [tex]\frac{7.36}{10}[/tex]

efficiency = 73.6 %

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