Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781259822674
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 1.11, Problem 67P

The pressure in a natural gas pipeline is measured by the manometer shown in Fig. P1–67E with one of the arms open to the atmosphere where the local atmospheric pressure is 14.2 psia. Determine the absolute pressure in the pipeline.

Chapter 1.11, Problem 67P, The pressure in a natural gas pipeline is measured by the manometer shown in Fig. P167E with one of

Expert Solution & Answer
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To determine

The absolute pressure in the pipeline.

Answer to Problem 67P

The absolute pressure in the pipeline is 18.1psia_.

Explanation of Solution

Determine the density of mercury.

ρHg=SGHg×ρw (I)

Here, the specific gravity of the mercury is SGHg and the density of the water is ρw.

Write the expression of pressure in a double U-tube manometer with one arms open to the atmosphere.

P1ρHgghHg+ρwaterghwater=PatmP1=Patm+ρHgghHg+ρwaterghwater (III)

Here, the absolute pressure in the pipeline is P1, the pressure in the atmosphere is Patm, the acceleration of gravity is g, the density of the mercury is ρHg, the height of the mercury is hHg, and the density of water is ρwater, and the height of the water is hwater.

Conclusion:

From the Table A-3E (a) “Properties of common liquids, solids, and foods” to obtain the value for density of water as 62.4lbm/ft3.

Substitute 13.6 for SGHg and 62.4lbm/ft3 for ρw in Equation (I).

ρHg=13.6×62.4lbm/ft3=848.6lbm/ft3

Substitute 14.2psia for Patm, 32.2ft/s2 for g, 848.6lbm/ft3 for ρHg, 6/12ft for hHg, 62.4lbm/ft3 for ρwater, and 27/12ft for hwater in Equation (III).

P1=[(14.2psia)+(848.6lbm/ft3)(32.2ft/s2)(6/12ft)+(62.4lbm/ft3)(32.2ft/s2)(27/12ft)]=[(14.2psia)+(32.2ft/s2)[(848.6lbm/ft3)(6/12ft)+(62.4lbm/ft3)(27/12ft)]]=[(14.2psia)+(32.2ft/s2)[(424.3lbm/ft2)+(140.4lbm/ft2)]×(132.2lbmft/s2)(1ft2144in2)]=18.1psia

Thus, the absolute pressure in the pipeline is 18.1psia_.

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Chapter 1 Solutions

Thermodynamics: An Engineering Approach

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