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A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.?
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A manometer is used to measure the pressure in an 8 0.85 55cm The flui...
Introduction:
In this question, we are required to determine the absolute pressure within a tank using a manometer. The manometer measures the pressure difference between the tank and the atmospheric pressure. We are given the dimensions of the manometer column, the specific gravity of the fluid, and the local atmospheric pressure.
Given:
- Column height of the manometer = 55 cm
- Specific gravity of the fluid = 0.85
- Local atmospheric pressure = 96 kPa
Calculating the Pressure Difference:
The manometer measures the pressure difference between the tank and the atmospheric pressure. To determine the absolute pressure within the tank, we need to calculate this pressure difference.
The pressure difference can be calculated using the equation:
ΔP = ρgh
Where:
ΔP = Pressure difference in Pascals (Pa)
ρ = Density of the fluid in the manometer column (kg/m^3)
g = Acceleration due to gravity (9.81 m/s^2)
h = Column height of the manometer (m)
Calculating the Density of the Fluid:
The density of the fluid can be calculated using the equation:
ρ = ρ_water * SG
Where:
ρ_water = Density of water (1000 kg/m^3)
SG = Specific gravity of the fluid
Converting the Column Height to Meters:
Given that the column height is 55 cm, we need to convert it to meters by dividing it by 100:
h = 55 cm / 100 = 0.55 m
Calculating the Pressure Difference:
Using the given specific gravity and column height, we can calculate the density of the fluid:
ρ = 1000 kg/m^3 * 0.85 = 850 kg/m^3
Now, we can calculate the pressure difference using the equation mentioned earlier:
ΔP = 850 kg/m^3 * 9.81 m/s^2 * 0.55 m = 4293.075 Pa
Calculating the Absolute Pressure:
To calculate the absolute pressure within the tank, we need to add the pressure difference to the atmospheric pressure:
Absolute pressure = Atmospheric pressure + Pressure difference
Given that the atmospheric pressure is 96 kPa, we need to convert it to Pascals by multiplying it by 1000:
Atmospheric pressure = 96 kPa * 1000 = 96000 Pa
Now, we can calculate the absolute pressure:
Absolute pressure = 96000 Pa + 4293.075 Pa = 100293.075 Pa
Conclusion:
The absolute pressure within the tank is 100293.075 Pa. This value is obtained by calculating the pressure difference using the manometer and adding it to the local atmospheric pressure.
In this question, we are required to determine the absolute pressure within a tank using a manometer. The manometer measures the pressure difference between the tank and the atmospheric pressure. We are given the dimensions of the manometer column, the specific gravity of the fluid, and the local atmospheric pressure.
Given:
- Column height of the manometer = 55 cm
- Specific gravity of the fluid = 0.85
- Local atmospheric pressure = 96 kPa
Calculating the Pressure Difference:
The manometer measures the pressure difference between the tank and the atmospheric pressure. To determine the absolute pressure within the tank, we need to calculate this pressure difference.
The pressure difference can be calculated using the equation:
ΔP = ρgh
Where:
ΔP = Pressure difference in Pascals (Pa)
ρ = Density of the fluid in the manometer column (kg/m^3)
g = Acceleration due to gravity (9.81 m/s^2)
h = Column height of the manometer (m)
Calculating the Density of the Fluid:
The density of the fluid can be calculated using the equation:
ρ = ρ_water * SG
Where:
ρ_water = Density of water (1000 kg/m^3)
SG = Specific gravity of the fluid
Converting the Column Height to Meters:
Given that the column height is 55 cm, we need to convert it to meters by dividing it by 100:
h = 55 cm / 100 = 0.55 m
Calculating the Pressure Difference:
Using the given specific gravity and column height, we can calculate the density of the fluid:
ρ = 1000 kg/m^3 * 0.85 = 850 kg/m^3
Now, we can calculate the pressure difference using the equation mentioned earlier:
ΔP = 850 kg/m^3 * 9.81 m/s^2 * 0.55 m = 4293.075 Pa
Calculating the Absolute Pressure:
To calculate the absolute pressure within the tank, we need to add the pressure difference to the atmospheric pressure:
Absolute pressure = Atmospheric pressure + Pressure difference
Given that the atmospheric pressure is 96 kPa, we need to convert it to Pascals by multiplying it by 1000:
Atmospheric pressure = 96 kPa * 1000 = 96000 Pa
Now, we can calculate the absolute pressure:
Absolute pressure = 96000 Pa + 4293.075 Pa = 100293.075 Pa
Conclusion:
The absolute pressure within the tank is 100293.075 Pa. This value is obtained by calculating the pressure difference using the manometer and adding it to the local atmospheric pressure.
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A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.?
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A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.?.
A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A manometer is used to measure the pressure in an 8 0.85 55cm The fluid used has a specific gravity manometer column height is as shown of the local atmospheric pressure 96K Pa determine the absolute within the tank.?.
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