Question #233031

5. A water pump delivers 130 dm3/minute (0.13 m3/min) drawing it in at 100 kPa and delivering it at 500 kPa. Assuming that only flow energy changes occur, calculate the power supplied to the pump. (860 W)


Expert's answer

Solution;

Given;

Volume flow rate ,v/s=0.13m3/minv/s=0.13m^3/min

Pressure;

P1=100kPaP_1=100kPa

P2=500kPaP_2=500kPa

Ignoring K.E and P.E

Q+P=ΔF.E/sQ+P=\Delta F.E/s

In which P is power.

F.E is flow energy.

But Q=0

Hence;

P=P= 0.1360×(500100)×103\frac{0.13}{60}×(500-100)×10^3

P=866.67W

Answer;

866.67W


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