Answered: A pump test reports the section…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A pump test reports the section pressure at a pump inlet to be 20 kPa below atmosphere. The discharge pressure at a point 1,147 mm above the inlet is 520 kPa. If the volume flow rate of water in the system is 58 L/min, calculate the power, in Watts, delivered by the pump to the fluid.

Expert Solution

Step 1

Given Data:

The inlet pressure of the pump P_i = -20 kPa.
The outlet pressure of the pump P_f= 520 kPa.
The height of discharge is h = 1147 mm.
The flow rate is Q = 58 L/min.

The mass flow rate can be determined as,

$\begin{array}{rcl} \dot{m} & = & ρ Q \\ = & 1000 kg / m^{3} \times \frac{58 L}{\sec} \times \frac{1 m^{3}}{1000 L} \\ = & 58 m^{3} / \sec \end{array}$

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