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A water pump, rated 400W, has an efficie...

A water pump, rated `400W`, has an efficiency of `75%`. If it is employed to raise water through a height of `40m`, find the volume of water drawn in `10min`.

Text Solution

Verified by Experts

`Output Power =etaxx Input power`
`=0.75xx400=300W`
Now,
`P=(dW)/(dt)=(d(mgh))/(dt)`
`(dm)/(dt)=(P)/(gh)=(300)/(10xx40)=3/4kg=3/4xx60kgmi n^-1=45kgmi n^-1`
Hence, water drawn in `10min=45xx10=450kgmi n^-1`
Since density of water is `1000kgm^-3`, therefore, from
`V=m/rho=450/1000=0.45m^3`
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