How Much Power Does a Pump Need to Move Water Adiabatically?

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Jack Easton
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I have been struggling with this question for a while, please could somebody help?
A pump is used to move water through a short pipe of diameter 120 mm as shown in Figure Q2. The water has a temperature of 18℃ and a pressure of 100 kPa (Absolute). The pump moves the water up a vertical distance of 3 m and the water exits to atmospheric pressure. Assuming the process is adiabatic and frictionless, and the required mass flow rate is 3.1 kg/s, determine, using the steady flow energy equation, the power required by the pump.

thanks
 
Is there a Figure Q2 which can be posted?
 
this is figure Q2
 
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  • Diagram of a pipe carrying flow upward on an incline, with a circular pump symbol labelled Pump on the sloped section, and a vertical dimension arrow labelled 3 m showing the height difference between the lower and upper pipe ends. Labelled Figure Q2.
    Screen Shot 2015-06-20 at 19.17.30.png
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Jack Easton said:
I have been struggling with this question for a while, please could somebody help?

A pump is used to move water through a short pipe of diameter 120 mm as shown in Figure Q2. The water has a temperature of 18℃ and a pressure of 100 kPa (Absolute). The pump moves the water up a vertical distance of 3 m and the water exits to atmospheric pressure. Assuming the process is adiabatic and frictionless, and the required mass flow rate is 3.1 kg/s, determine, using the steady flow energy equation, the power required by the pump.

thanks

Have you written the steady flow energy equation for this system?