Analyzing Internally Reversible Flow ProcessesA 3-hp pump

Chapter 6, Problem 181P

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QUESTION:

A 3-hp pump operating at steady state draws in liquid water at 1 atm, \(60^{\circ} \mathrm{F}\) and delivers it at 5 atm at an elevation 20 ft above the inlet. There is no significant change in velocity between the inlet and exit, and the local acceleration of gravity is \(32.2 \mathrm{\ ft} / \mathrm{s}^{2}\). Would it be possible to pump 1000 gal in 10 min or less? Explain.

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QUESTION:

A 3-hp pump operating at steady state draws in liquid water at 1 atm, \(60^{\circ} \mathrm{F}\) and delivers it at 5 atm at an elevation 20 ft above the inlet. There is no significant change in velocity between the inlet and exit, and the local acceleration of gravity is \(32.2 \mathrm{\ ft} / \mathrm{s}^{2}\). Would it be possible to pump 1000 gal in 10 min or less? Explain.

ANSWER:

Step 1 of 1

We have to find the possibility of a 3-hp pump operating at steady state to pump liquid water of 1000 gal in 10 min or less.

To pump 1000 gal of water  in 10 min or less would require a volumetric flow rate of

 

             0.006316  m3 /s

The corresponding mass flow rate is  

Where,

specific volume of liquid         water at                   (From Table A-3)

        60 oF = 1.0009m3/ kg

So,  

     

           

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