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# Water is pumped from a lake to a storage tank 18 m above

## Problem 20P Chapter 5

Fluid Mechanics | 2nd Edition

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Fluid Mechanics | 2nd Edition

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Problem 20P

Water is pumped from a lake to a storage tank 18 m above at a rate of 70 L/s while consuming20.4 kW of electric power. Disregarding any frictional losses in the pipes and any changes in kinetic energy, determine (a) the overall efficiency of the pump-motor unit and(b) the pressure difference between the inlet and the exit of the pump.

Step-by-Step Solution:

Solution 20P

Step 1</p>

In this problem, there is a motor which is taking power and pumping a specific amount of water into a tank which is at a particular height. So, in part (a), we have to calculate the overall efficiency of the pump motor unit and in part (b), we have to calculate the pressure difference between the inlet and exit of the pump.

Provided data,

Height of the storage tank,

Pumping rate of the motor,

Power consumed by the motor,

We know the density of water,

Step 2</p>

a) Rate of mass of water displaced

Rate of mass of water displaced from lake to storage tank,

That is,

We know that,

Therefore,

Here,

Therefore,

Rate of mass of water displaced,

Step 3</p>

a) Calculating the energy per mass of water

We know that, the potential energy,

Where, - mass of water

- Acceleration due to gravity =

The energy per mass is,

Here, we can write,

The energy per mass is,

Step 4 of 5

Step 5 of 5

##### ISBN: 9780071284219

The answer to “Water is pumped from a lake to a storage tank 18 m above at a rate of 70 L/s while consuming20.4 kW of electric power. Disregarding any frictional losses in the pipes and any changes in kinetic energy, determine (a) the overall efficiency of the pump-motor unit and(b) the pressure difference between the inlet and the exit of the pump.” is broken down into a number of easy to follow steps, and 60 words. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2nd. This full solution covers the following key subjects: any, Pump, losses, determine, difference. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. Since the solution to 20P from 5 chapter was answered, more than 245 students have viewed the full step-by-step answer. Fluid Mechanics was written by Sieva Kozinsky and is associated to the ISBN: 9780071284219. The full step-by-step solution to problem: 20P from chapter: 5 was answered by Sieva Kozinsky, our top Engineering and Tech solution expert on 07/03/17, 04:51AM.

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