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)


1
Expert's answer
2021-09-06T00:51:14-0400

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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