It is required to find the pressure difference between two horizontal ...
Concept:
Differential Manometers:
- Differential manometers are devices used for measuring the difference of pressures between two points in a pipe or in two different pipes.
- A differential manometer consists of a U-tube, containing a heavy or light liquid, whose two ends are connected to the points, whose difference of pressure is to be measured.
- The most common types of differential manometers are
- U-tube differential manometer
- Inverted U-tube differential manometer
- The tube generally contains mercury or any other liquid whose specific gravity is greater than the specific gravity of the liquid whose pressure is to be measured.
U-tube differential manometer
- It consists of a U-tube containing a heavy liquid.
- The two ends of the tube are connected to the points whose difference is to be measured.
- It is used for measuring the difference of pressure between two points in the flow section to which it is connected.
Differential inverted U-tube manometer: - It consists of an inverted U-tube containing a light liquid.
- The two ends of the tube are connected to the points whose difference is to be measured.
- It is used for measuring the difference of pressure between two points in the flow section to which it is connected.
- It is used in two conditions
- In underground pipeline
- When the specific gravity of manometric fluid is less than 1
It is required to find the pressure difference between two horizontal ...
Explanation:
To find the pressure difference between two horizontal pipes using an inverted manometer, we need to choose the appropriate manometric fluid. The specific gravity of the manometric fluid plays a crucial role in determining its suitability for the given situation.
The specific gravity of a fluid is defined as the ratio of its density to the density of a reference fluid. In this case, the reference fluid is water.
Given:
Specific gravity of fluid 1 = 13.6
Specific gravity of fluid 2 = 0.8
The specific gravity of a fluid determines its relative density compared to water. A fluid with a specific gravity greater than 1 is denser than water, while a fluid with a specific gravity less than 1 is lighter than water.
Choosing the appropriate manometric fluid:
In an inverted manometer, the pressure difference is determined by the difference in the fluid levels in the two arms of the manometer. The manometric fluid should be chosen such that it provides a measurable and readable difference in fluid levels.
Option A: Fluid with specific gravity 13.6
If we choose a manometric fluid with a specific gravity of 13.6, it would be denser than water. As a result, the fluid level difference in the manometer would be very small, making it difficult to measure accurately. Therefore, this option is not suitable.
Option B: Fluid with specific gravity 0.8
If we choose a manometric fluid with a specific gravity of 0.8, it would be lighter than water. As a result, the fluid level difference in the manometer would be larger, making it easier to measure accurately. Therefore, this option is suitable.
Option C: Both fluids can be used
This option is not correct because, as explained above, using a manometric fluid with a specific gravity of 13.6 would result in a small and difficult-to-measure fluid level difference in the manometer.
Option D: None can be used
This option is not correct because at least one of the manometric fluids can be used, as explained in option B.
Therefore, the correct answer is option B: Fluid with specific gravity 0.8.
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