A pool of water is being filled with a hose that has a 2 cm inside diameter. The water leaves the hose with a flow rate of 0.00063 m3/s and a pressure of 101.325 kPa absolute. How much flow work (in watts) does the water add to the pool as it enters the pool?
A. 64 W
B. 64 mW
C. 64 kW
D. 0 W
E. Dependent on the density/specific volume of the water
A. Correct. Using the PV equation you can calculate the flow work added. The hose diameter is unnecessary information.
B. Incorrect. You are not observing the prefixes on the units in the problem. Try again.
C. Incorrect. You cannot blindly carry over prefixes from units in the problem. Just because pressure is given in kilopascals thatdoes not mean that the work will be in kilojoules.
D. Incorrect. There is flow work being done. You may have been misled by the pressure, but note that it is in absolute pressure, not gage pressure.
E. Incorrect. You do not need the density or specific volume of the water because you are given a volumetric flowrate. Try again.
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