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Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q?
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Understanding Barometers
A barometer measures atmospheric pressure. There are different types, including mercury and water barometers. Here, we will calculate the height of a water barometer equivalent to a mercury barometer reading of 60 cmHg.
Key Parameters
- Density of Mercury: 13600 kg/m³
- Density of Water: 1000 kg/m³
- Height of Mercury Column: 60 cm
Conversion to SI Units
- Height of Mercury Column: 60 cm = 0.6 m
Calculating Pressure
The pressure exerted by a column of liquid is given by the formula:
Pressure = Density × Gravity × Height
- For Mercury:
Pressure_Mercury = 13600 kg/m³ × 9.81 m/s² × 0.6 m
Calculating Equivalent Water Height
The pressure exerted by the water column must equal the pressure exerted by the mercury:
Pressure_Water = Density_Water × Gravity × Height_Water
Setting both pressures equal gives:
13600 kg/m³ × 9.81 m/s² × 0.6 m = 1000 kg/m³ × 9.81 m/s² × Height_Water
Simplifying the Calculation
Since gravity (g) cancels out, we can simplify the equation to find Height_Water:
Height_Water = (13600 kg/m³ × 0.6 m) / 1000 kg/m³
Final Calculation
- Height_Water = 8.16 m
Conclusion
The height of the water barometer that corresponds to a pressure of 60 cmHg is approximately 8.16 meters. This illustrates the principle that the height of different liquids in barometers varies based on their densities.
A barometer measures atmospheric pressure. There are different types, including mercury and water barometers. Here, we will calculate the height of a water barometer equivalent to a mercury barometer reading of 60 cmHg.
Key Parameters
- Density of Mercury: 13600 kg/m³
- Density of Water: 1000 kg/m³
- Height of Mercury Column: 60 cm
Conversion to SI Units
- Height of Mercury Column: 60 cm = 0.6 m
Calculating Pressure
The pressure exerted by a column of liquid is given by the formula:
Pressure = Density × Gravity × Height
- For Mercury:
Pressure_Mercury = 13600 kg/m³ × 9.81 m/s² × 0.6 m
Calculating Equivalent Water Height
The pressure exerted by the water column must equal the pressure exerted by the mercury:
Pressure_Water = Density_Water × Gravity × Height_Water
Setting both pressures equal gives:
13600 kg/m³ × 9.81 m/s² × 0.6 m = 1000 kg/m³ × 9.81 m/s² × Height_Water
Simplifying the Calculation
Since gravity (g) cancels out, we can simplify the equation to find Height_Water:
Height_Water = (13600 kg/m³ × 0.6 m) / 1000 kg/m³
Final Calculation
- Height_Water = 8.16 m
Conclusion
The height of the water barometer that corresponds to a pressure of 60 cmHg is approximately 8.16 meters. This illustrates the principle that the height of different liquids in barometers varies based on their densities.
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Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q?
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Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q?.
Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the equal height of your water barometer of the pressure recorded by Mercury barometer 60 cmHg density of Mercury is 13600 kg mekdencia 1000 kids metre Q?.
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