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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 .

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 .

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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QUESTION NO 1 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 0.6 m Gas 2 m Oil 0.2 m 0.6 m Water
Transcribed Image Text:QUESTION NO 1 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 0.6 m Gas 2 m Oil 0.2 m 0.6 m Water
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