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velocity light = 1213m/s velocity heavy = 453m/s temperature= 300k   solve for both using the middle equation Vav= suareroot8RT/piM

velocity light = 1213m/s velocity heavy = 453m/s temperature= 300k   solve for both using the middle equation Vav= suareroot8RT/piM

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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velocity light = 1213m/s
velocity heavy = 453m/s
temperature= 300k
 
solve for both using the middle equation Vav= suareroot8RT/piM
 

 

The values are given by: \[ v_{mp} = \sqrt{\frac{2RT}{M}} \quad v_{av} = \sqrt{\frac{8RT}{\pi M}} \quad v_{rms} = \sqrt{\frac{3RT}{M}} \] where the temperature \( T \) is in Kelvins and \( M \) is the molecular weight in kg/mol. For those with an interest, in mathematical language these are the 0\( ^{th} \), 1\( ^{st} \), and 2\( ^{nd} \) moments of the velocity distribution.
Transcribed Image Text:The values are given by: \[ v_{mp} = \sqrt{\frac{2RT}{M}} \quad v_{av} = \sqrt{\frac{8RT}{\pi M}} \quad v_{rms} = \sqrt{\frac{3RT}{M}} \] where the temperature \( T \) is in Kelvins and \( M \) is the molecular weight in kg/mol. For those with an interest, in mathematical language these are the 0\( ^{th} \), 1\( ^{st} \), and 2\( ^{nd} \) moments of the velocity distribution.
**Determining Molecular Weights of Light and Heavy Particles** **Which velocity measure is the best match for your averages of the sample speeds you collected?** *(For me, it was \( v_{avv} \)).* Set the expressions equal to your average speeds and solve for the molecular weights of the **Light** and **Heavy** particles in the simulation. Below is a table of Molecular Weights (MW) for various common gases: | Gas | MW (g/mol) | Gas | MW (g/mol) | Gas | MW (g/mol) | |------|------------|-------|------------|------|------------| | H | 1.008 | Ne | 20.18 | CO₂ | 44.00 | | He | 4.003 | N₂ | 28.01 | N₂O | 44.01 | | CH₄ | 16.04 | Air | 28.97 | NO₂ | 46.00 | | NH₃ | 17.03 | O₂ | 31.99 | SO₂ | 64.05 | | H₂O | 18.01 | Ar | 39.94 | | | **Task:** In this table of common gases, which molecule or atom has a molecular weight closest to your values for the **Light** and **Heavy** particles? Determine this before proceeding. We will report our own results next.
Transcribed Image Text:**Determining Molecular Weights of Light and Heavy Particles** **Which velocity measure is the best match for your averages of the sample speeds you collected?** *(For me, it was \( v_{avv} \)).* Set the expressions equal to your average speeds and solve for the molecular weights of the **Light** and **Heavy** particles in the simulation. Below is a table of Molecular Weights (MW) for various common gases: | Gas | MW (g/mol) | Gas | MW (g/mol) | Gas | MW (g/mol) | |------|------------|-------|------------|------|------------| | H | 1.008 | Ne | 20.18 | CO₂ | 44.00 | | He | 4.003 | N₂ | 28.01 | N₂O | 44.01 | | CH₄ | 16.04 | Air | 28.97 | NO₂ | 46.00 | | NH₃ | 17.03 | O₂ | 31.99 | SO₂ | 64.05 | | H₂O | 18.01 | Ar | 39.94 | | | **Task:** In this table of common gases, which molecule or atom has a molecular weight closest to your values for the **Light** and **Heavy** particles? Determine this before proceeding. We will report our own results next.
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