Chemistry
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ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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An open-ended manometer is used to measure gas pressure. What is the gas pressure if h=34.5 cm Hg? Atmospheric pressure is 760 mmHg
![This illustration depicts a U-tube manometer, which is used to measure the pressure of gas. The diagram shows the following components:
1. **Gas Supply**: On the left side, there is a container supplying gas to the U-tube manometer.
2. **U-tube Manometer**: The U-tube manometer consists of a transparent tube bent into a U-shape and partially filled with a liquid, typically mercury or water.
3. **Gas Inlet**: The gas from the supply enters the U-tube from one side, creating a difference in liquid levels.
4. **Open End**: The right side of the U-tube is open to the atmosphere, providing a reference pressure.
The diagram illustrates two significant points for measurements:
- **Patm**: The atmospheric pressure acting on the open end of the U-tube.
- **h**: The height difference between the liquid levels in the two arms of the U-tube, denoted by 'h'. This height difference is directly related to the pressure of the gas in the container.
The pressure in the gas container can be determined by the formula:
\[ P_{gas} = P_{atm} + \rho gh \]
where:
- \( P_{gas} \) is the pressure of the gas in the container
- \( P_{atm} \) is the atmospheric pressure
- \( \rho \) is the density of the liquid in the U-tube
- \( g \) is the acceleration due to gravity
- \( h \) is the height difference between the liquid levels in the U-tube
This principle allows for accurate measurement of the gas pressure relative to atmospheric pressure. The height difference 'h' is the key reading taken from the manometer to calculate the gas pressure.](https://content.bartleby.com/qna-images/question/5c5734d7-71be-4626-8cb5-227ca6c7fb69/c89ba1f2-723a-4de4-b4d6-0d7d09ba1786/ctifsbg_processed.jpeg)
Transcribed Image Text:This illustration depicts a U-tube manometer, which is used to measure the pressure of gas. The diagram shows the following components:
1. **Gas Supply**: On the left side, there is a container supplying gas to the U-tube manometer.
2. **U-tube Manometer**: The U-tube manometer consists of a transparent tube bent into a U-shape and partially filled with a liquid, typically mercury or water.
3. **Gas Inlet**: The gas from the supply enters the U-tube from one side, creating a difference in liquid levels.
4. **Open End**: The right side of the U-tube is open to the atmosphere, providing a reference pressure.
The diagram illustrates two significant points for measurements:
- **Patm**: The atmospheric pressure acting on the open end of the U-tube.
- **h**: The height difference between the liquid levels in the two arms of the U-tube, denoted by 'h'. This height difference is directly related to the pressure of the gas in the container.
The pressure in the gas container can be determined by the formula:
\[ P_{gas} = P_{atm} + \rho gh \]
where:
- \( P_{gas} \) is the pressure of the gas in the container
- \( P_{atm} \) is the atmospheric pressure
- \( \rho \) is the density of the liquid in the U-tube
- \( g \) is the acceleration due to gravity
- \( h \) is the height difference between the liquid levels in the U-tube
This principle allows for accurate measurement of the gas pressure relative to atmospheric pressure. The height difference 'h' is the key reading taken from the manometer to calculate the gas pressure.
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