Calculate the ratio of the effusion rates of helium gas (He) and uranium hexafluoride (UF6), a gas used in the enrichment process to produce fuel for nuclear reactors 87.9 | 13.2 9.38 None of these 352.02

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Question:**
Calculate the ratio of the effusion rates of helium gas (He) and uranium hexafluoride (UF₆), a gas used in the enrichment process to produce fuel for nuclear reactors.

**Options:**
- ○ 87.9
- ○ 13.2
- ○ 9.38
- ○ None of these
- ○ 352.02

**Explanation:**
To solve this problem, you would use Graham's Law of Effusion, which states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. The formula to calculate the ratio of effusion rates is:

\[ \frac{\text{Rate of effusion of He}}{\text{Rate of effusion of UF₆}} = \sqrt{\frac{\text{Molar mass of UF₆}}{\text{Molar mass of He}}} \]

The ratio will help determine how much faster helium effuses compared to uranium hexafluoride. Calculating this involves using the known molar masses of helium and UF₆.
Transcribed Image Text:**Question:** Calculate the ratio of the effusion rates of helium gas (He) and uranium hexafluoride (UF₆), a gas used in the enrichment process to produce fuel for nuclear reactors. **Options:** - ○ 87.9 - ○ 13.2 - ○ 9.38 - ○ None of these - ○ 352.02 **Explanation:** To solve this problem, you would use Graham's Law of Effusion, which states that the rate of effusion of a gas is inversely proportional to the square root of its molar mass. The formula to calculate the ratio of effusion rates is: \[ \frac{\text{Rate of effusion of He}}{\text{Rate of effusion of UF₆}} = \sqrt{\frac{\text{Molar mass of UF₆}}{\text{Molar mass of He}}} \] The ratio will help determine how much faster helium effuses compared to uranium hexafluoride. Calculating this involves using the known molar masses of helium and UF₆.
The image contains a graph and multiple-choice question related to the behavior of Nitrogen gas under different conditions.

**Graph Description:**
- The graph is a plot of \( \frac{PV}{nRT} \) (y-axis) against pressure \( P \) in atm (x-axis). 
- There are three colored curves each representing a different temperature: 203 K (green), 293 K (purple), and 673 K (orange).
- A dashed horizontal line at \( \frac{PV}{nRT} = 1.0 \) indicates ideal gas behavior.
- The curve for 673 K (orange) is almost flat and close to the ideal line, indicating behavior closer to an ideal gas at that temperature.
- The 203 K (green) and 293 K (purple) curves deviate more from the ideal line, especially as pressure increases.

**Question:**
"What does this graph represent for Nitrogen?"

**Answer Options:**
- None of these is true
- This graph shows that Nitrogen gas behaves most ideally at higher temperature and lower pressure
- This graph shows that Nitrogen at no point behaves anywhere close to being ideal.
- This graph shows that Nitrogen gas behaves ideally at lower temperature and higher pressure.
- This graph shows that Nitrogen gas behaves more ideally at lower temperature and lower pressure.
Transcribed Image Text:The image contains a graph and multiple-choice question related to the behavior of Nitrogen gas under different conditions. **Graph Description:** - The graph is a plot of \( \frac{PV}{nRT} \) (y-axis) against pressure \( P \) in atm (x-axis). - There are three colored curves each representing a different temperature: 203 K (green), 293 K (purple), and 673 K (orange). - A dashed horizontal line at \( \frac{PV}{nRT} = 1.0 \) indicates ideal gas behavior. - The curve for 673 K (orange) is almost flat and close to the ideal line, indicating behavior closer to an ideal gas at that temperature. - The 203 K (green) and 293 K (purple) curves deviate more from the ideal line, especially as pressure increases. **Question:** "What does this graph represent for Nitrogen?" **Answer Options:** - None of these is true - This graph shows that Nitrogen gas behaves most ideally at higher temperature and lower pressure - This graph shows that Nitrogen at no point behaves anywhere close to being ideal. - This graph shows that Nitrogen gas behaves ideally at lower temperature and higher pressure. - This graph shows that Nitrogen gas behaves more ideally at lower temperature and lower pressure.
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