c. In the field, the position of the interface between oil and water is often difficult to determine because of a foam that is often formed between the oil and water phases. One can, however, use the pressure measured at the bottom of the separator to back calculate the location of the oil- water interface. Assume that the pressure in the gas phase is 125 kPa and the pressure at the bottom of the separator is 138 KPa (both gage). The height of the gas phase is still 0.6 m. What is the height of water in the separator? 0.6 m Gas 2 m Oil 0.2 m 0.6 m Water

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Kindly Solve Only Part C with details
QUESTION NO I
In a three-phase separator, gas, oil, and water are
separated into layers of different depths. The graph on
the right shows the cross-section of this separator.
The height of the separator is 2 m. The distance from
the oil surface to the top of the separator is 0.6 m, and
the distance from the water surface to the bottom of
the separator is 0.6 m. Gravity g = 9.81 m/s² .
a. Pressure in the gas phase is 100 kPa, oil specific
gravity is 0.78, and water (with salt) specific gravity
is 1.02. What is the pressure acting on the bottom
of the separator (pointed by the arrow)?
b. An exit pipe of 10 cm inner diameter is welded to
one side of the separator. The center of the pipe,
as shown in the graph, is 0.2 m above the bottom
of the separator. This pipe is capped. What is the
force acting on the cap from the hydrostatic
pressure within the separator?
c. In the field, the position of the interface between
oil and water is often difficult to determine
because of a foam that is often formed between
the oil and water phases. One can, however, use
the pressure measured at the bottom of the
separator to back calculate the location of the oil-
water interface. Assume that the pressure in the
gas phase is 125 kPa and the pressure at the
bottom of the separator is 138 KPa (both gage).
The height of the gas phase is still 0.6 m. What is
the height of water in the separator?
0.6 m
Gas
2 m
Oil
0.2 m
Water
0.6 m
Transcribed Image Text:QUESTION NO I In a three-phase separator, gas, oil, and water are separated into layers of different depths. The graph on the right shows the cross-section of this separator. The height of the separator is 2 m. The distance from the oil surface to the top of the separator is 0.6 m, and the distance from the water surface to the bottom of the separator is 0.6 m. Gravity g = 9.81 m/s² . a. Pressure in the gas phase is 100 kPa, oil specific gravity is 0.78, and water (with salt) specific gravity is 1.02. What is the pressure acting on the bottom of the separator (pointed by the arrow)? b. An exit pipe of 10 cm inner diameter is welded to one side of the separator. The center of the pipe, as shown in the graph, is 0.2 m above the bottom of the separator. This pipe is capped. What is the force acting on the cap from the hydrostatic pressure within the separator? c. In the field, the position of the interface between oil and water is often difficult to determine because of a foam that is often formed between the oil and water phases. One can, however, use the pressure measured at the bottom of the separator to back calculate the location of the oil- water interface. Assume that the pressure in the gas phase is 125 kPa and the pressure at the bottom of the separator is 138 KPa (both gage). The height of the gas phase is still 0.6 m. What is the height of water in the separator? 0.6 m Gas 2 m Oil 0.2 m Water 0.6 m
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