An oil pipeline and a 1.3–m3 rigid air tank are connected

Fluid Mechanics | 2nd Edition | ISBN: 9780071284219 | Authors: Yunus A. Cengel, John M. Cimbala

ISBN: 9780071284219 39

Solution for problem 141P Chapter 3

Fluid Mechanics | 2nd Edition

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Problem 141P

An oil pipeline and a 1.3–m3 rigid air tank are connected to each other by a manometer, as shown in Fig. P3–149. If the tank contains 15 kg of air at 80°C. determine (a) the absolute pressure in the pipeline and (b) the change in Δh when the temperature in the tank drops to 20°C. Assume the pressure in the oil pipeline to remain constant, and the air volume in the manometer to be negligible relative to the volume of the tank.

Step-by-Step Solution:

Solution to 141P

Step 1 of 5</p>

In this question we need to determine the absolute pressure existing in the pipeline and the change in differential height when the temperature in tank drops to . We have to assume that the pressure in oil pipeline is constant and the volume of air present in air in the manometer is very less compared to volume of air in tank.

Given data:

Volume of air tank

Mass of air in air tank

Temperature of air tank,

Step 2 of 5</p>

From ideal gas equation,

is the pressure

is the volume

is the mass

gas constant of air,

is the temperature.

Calculate the pressure of air tank,

Specific gravity is calculated by the equation,

is the density of fluid

is the density of water

Step 3 of 5</p>

We need to write the combined pressure of the system,

Now, from the formula of specific gravity,

density of oil

density of mercury

Specific gravity of oil.

Specific gravity of mercury

..............(1)

Thus the pressure in pipeline is

Step 4 of 5

Chapter 3, Problem 141P is Solved

Step 5 of 5

Textbook: Fluid Mechanics

Edition: 2

Author: Yunus A. Cengel, John M. Cimbala

ISBN: 9780071284219

This full solution covers the following key subjects: tank, pipeline, air, pressure, Volume. This expansive textbook survival guide covers 15 chapters, and 1547 solutions. The full step-by-step solution to problem: 141P from chapter: 3 was answered by , our top Engineering and Tech solution expert on 07/03/17, 04:51AM. This textbook survival guide was created for the textbook: Fluid Mechanics, edition: 2. The answer to “An oil pipeline and a 1.3–m3 rigid air tank are connected to each other by a manometer, as shown in Fig. P3–149. If the tank contains 15 kg of air at 80°C. determine (a) the absolute pressure in the pipeline and (b) the change in ?h when the temperature in the tank drops to 20°C. Assume the pressure in the oil pipeline to remain constant, and the air volume in the manometer to be negligible relative to the volume of the tank.” is broken down into a number of easy to follow steps, and 82 words. Fluid Mechanics was written by and is associated to the ISBN: 9780071284219. Since the solution to 141P from 3 chapter was answered, more than 1454 students have viewed the full step-by-step answer.