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Engineering and Tech / Fundamentals of Thermodynamcs 8 / Chapter 1 / Problem 120EUP

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

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A 7-ft tall steel cylinder has a cross-sectional area of

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QUESTION:

Problem 120EUP

A 7-ft tall steel cylinder has a cross-sectional area of 15 ft2. At the bottom, with a height of 2 ft, is liquid water, on top of which is a 4-ft-high layer of gasoline. The gasoline surface is exposed to atmospheric air at 14.7 psia. What is the highest pressure in the water?

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QUESTION:

Problem 120EUP

A 7-ft tall steel cylinder has a cross-sectional area of 15 ft2. At the bottom, with a height of 2 ft, is liquid water, on top of which is a 4-ft-high layer of gasoline. The gasoline surface is exposed to atmospheric air at 14.7 psia. What is the highest pressure in the water?

ANSWER:

Solution 120EUP

Step 1 of 3

In the given problem, we have to calculate the highest pressure in the water for the given air-gasoline-water steel cylindrical system.

Given data,

Total height of cylinder, $h=7\ ft$

Area of cross section, $A={15\ ft}^{2}$

Acceleration due to gravity, $g=32.174\ ft/{s}^{2}$

(Using table F-3)

Density of water, ${\rho{}}_{w}=62.2\ lbm/{ft}^{3}$

Density of gasoline, ${\rho{}}_{g}=46.8\ lbm/{ft}^{3}$

Height of water, ${h}_{w}=2\ ft$

Height of gasoline, ${h}_{g}=4\ ft$

Atmospheric air pressure, ${P}_{a}=14.7\ psia$

Using $1\ psia=1\ lbf/{in}^{2}$ ${P}_{a}=14.7\ lbf/{in}^{2}$

To find,

Highest pressure of water, ${P}_{w}=?$

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