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a.  Determine the mean free path for N2 at 1 atm and 298K. Note the cross section that is given in Table 16.1 of the text book is given in nm2. b. What would happen to the mean free path if the pressure was doubled?

a.  Determine the mean free path for N2 at 1 atm and 298K. Note the cross section that is given in Table 16.1 of the text book is given in nm2. b. What would happen to the mean free path if the pressure was doubled?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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a.  Determine the mean free path for N2 at 1 atm and 298K. Note the cross section that is given in Table 16.1 of the text book is given in nm2.

b. What would happen to the mean free path if the pressure was doubled?

### Table 16.1: Collisional Parameters for Various Gases This table presents important collisional parameters for a variety of gases. The parameters include the effective hard-sphere radius (\(r\)) and the collisional cross-section area (\(\sigma\)). These values are essential in the study of gas dynamics and molecular collisions, key topics in physics and chemistry. | **Species** | \( r \) (nm) | \( \sigma \) (nm\(^2\)) | |-------------|---------------|------------------------| | He | 0.13 | 0.21 | | Ne | 0.14 | 0.24 | | Ar | 0.17 | 0.36 | | Kr | 0.20 | 0.52 | | N\(_2\) | 0.19 | 0.43 | | O\(_2\) | 0.18 | 0.40 | | CO\(_2\) | 0.20 | 0.52 | #### Description: - **Species**: Refers to the type of gas molecule. - **\( r \) (nm)**: The effective hard-sphere radius, measured in nanometers (nm), which indicates the approximate size of the gas molecule. - **\( \sigma \) (nm\(^2\))**: The collisional cross-section, measured in square nanometers (nm\(^2\)), representing the effective area for collisions between gas molecules. This table will be particularly useful for students and researchers working on gas phase kinetics, allowing for better understanding and calculation of molecular interactions in different gases.
Transcribed Image Text:### Table 16.1: Collisional Parameters for Various Gases This table presents important collisional parameters for a variety of gases. The parameters include the effective hard-sphere radius (\(r\)) and the collisional cross-section area (\(\sigma\)). These values are essential in the study of gas dynamics and molecular collisions, key topics in physics and chemistry. | **Species** | \( r \) (nm) | \( \sigma \) (nm\(^2\)) | |-------------|---------------|------------------------| | He | 0.13 | 0.21 | | Ne | 0.14 | 0.24 | | Ar | 0.17 | 0.36 | | Kr | 0.20 | 0.52 | | N\(_2\) | 0.19 | 0.43 | | O\(_2\) | 0.18 | 0.40 | | CO\(_2\) | 0.20 | 0.52 | #### Description: - **Species**: Refers to the type of gas molecule. - **\( r \) (nm)**: The effective hard-sphere radius, measured in nanometers (nm), which indicates the approximate size of the gas molecule. - **\( \sigma \) (nm\(^2\))**: The collisional cross-section, measured in square nanometers (nm\(^2\)), representing the effective area for collisions between gas molecules. This table will be particularly useful for students and researchers working on gas phase kinetics, allowing for better understanding and calculation of molecular interactions in different gases.
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