If four different closed-end manometers were created for the same sample with the same diameter for the U-shaped tube and only the liquids used differed, rank the lengths of U-shaped tubes needed for each of the liquids. How can I determine the longest- shortest ones. Any ways?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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If four different closed-end manometers were created for the same sample with the same diameter for the U-shaped tube and only the liquids used differed, rank the lengths of U-shaped tubes needed for each of the liquids. How can I determine the longest- shortest ones. Any ways?

 

The image shows a schematic of a manometer setup used to measure pressure differences. 

**Description:**

- A bulb labeled "Sample" is connected to a U-shaped tube.
- One end of the tube is labeled "Closed end."
- The tube contains mercury.
- There is a valve labeled "Valve open" which allows the sample to interact with the manometer.
- The height difference in the mercury level is indicated by "Δh."

**Explanation:**

In this setup, the pressure of the gas sample can be determined by measuring the difference in mercury levels in the U-tube. The "Closed end" does not allow gas to escape, creating a vacuum or constant pressure reference. When the valve is open, the sample exerts pressure on the mercury, causing a change in height, represented by "Δh." This change in height can be used to calculate the pressure of the sample gas.

**Instructions:**

There are "4 items" to drag and drop, presumably instructional or interactive elements not visible in the image itself.
Transcribed Image Text:The image shows a schematic of a manometer setup used to measure pressure differences. **Description:** - A bulb labeled "Sample" is connected to a U-shaped tube. - One end of the tube is labeled "Closed end." - The tube contains mercury. - There is a valve labeled "Valve open" which allows the sample to interact with the manometer. - The height difference in the mercury level is indicated by "Δh." **Explanation:** In this setup, the pressure of the gas sample can be determined by measuring the difference in mercury levels in the U-tube. The "Closed end" does not allow gas to escape, creating a vacuum or constant pressure reference. When the valve is open, the sample exerts pressure on the mercury, causing a change in height, represented by "Δh." This change in height can be used to calculate the pressure of the sample gas. **Instructions:** There are "4 items" to drag and drop, presumably instructional or interactive elements not visible in the image itself.
**U-Shaped Tube Height**

This diagram illustrates the relationship between various liquids and their respective densities, influencing the height of liquid columns in a U-shaped tube. Here is a detailed breakdown of the diagram:

1. **Hg (Mercury)** 
   - Density: 13.53 g/cm³
   - Represents the liquid with the highest density, resulting in the shortest column height in a U-shaped tube.

2. **H₂O (Water)**
   - Density: 1.00 g/cm³
   - Serves as a standard reference due to its common use and moderate density.

3. **Isopropanol**
   - Density: 0.79 g/cm³
   - Displays a lower density compared to water, leading to a taller column height than the previous two liquids.

4. **Heptane**
   - Density: 0.68 g/cm³
   - The liquid with the lowest density in this group, resulting in the longest column height in a U-shaped tube.

The arrangement of these liquids from shortest to longest column height is based on their densities, with heavier liquids forming shorter columns and lighter liquids forming taller columns.
Transcribed Image Text:**U-Shaped Tube Height** This diagram illustrates the relationship between various liquids and their respective densities, influencing the height of liquid columns in a U-shaped tube. Here is a detailed breakdown of the diagram: 1. **Hg (Mercury)** - Density: 13.53 g/cm³ - Represents the liquid with the highest density, resulting in the shortest column height in a U-shaped tube. 2. **H₂O (Water)** - Density: 1.00 g/cm³ - Serves as a standard reference due to its common use and moderate density. 3. **Isopropanol** - Density: 0.79 g/cm³ - Displays a lower density compared to water, leading to a taller column height than the previous two liquids. 4. **Heptane** - Density: 0.68 g/cm³ - The liquid with the lowest density in this group, resulting in the longest column height in a U-shaped tube. The arrangement of these liquids from shortest to longest column height is based on their densities, with heavier liquids forming shorter columns and lighter liquids forming taller columns.
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