Average speed of effusing molecules

In summary, the average speed of effusing molecules is the average velocity at which gas molecules escape through a small opening in a container. This is an important concept as it helps us understand and predict the behavior of gases in different conditions. The average speed can be calculated using Graham's Law, which takes into account the molecular weight of the gas. Factors such as temperature, pressure, and the size of the opening can also affect the average speed of effusing molecules. Real-world applications of this concept include gas diffusion processes, gas separation systems, and studying gas transport in the atmosphere.
  • #1
-Vitaly-
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Homework Statement


http://img406.imageshack.us/img406/6418/problemo.jpg

Homework Equations


<V>=( Integral-from-0-to-inf(V*f(V)*dV) ) / ( Integral-from-0-to-inf (f(V)*dV) )

(second integral is for normalisation)

The Attempt at a Solution


http://img32.imageshack.us/img32/529/thermalphysics.jpg
 
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  • #2
I just realized, that average speed is not the most probable speed. I think I need to differentiate the speed distribution functions and find those two speeds.
 
  • #3
Yea, that worked.
 

Related to Average speed of effusing molecules

What is the average speed of effusing molecules?

The average speed of effusing molecules is the average velocity at which gas molecules escape through a small opening in a container.

Why is the average speed of effusing molecules important?

The average speed of effusing molecules is important because it helps us understand and predict the behavior of gases in different conditions, such as temperature and pressure.

How is the average speed of effusing molecules calculated?

The average speed of effusing molecules can be calculated using Graham's Law, which states that the rate of effusion is inversely proportional to the square root of the molecular weight of the gas.

What factors affect the average speed of effusing molecules?

The average speed of effusing molecules can be affected by temperature, pressure, and the size of the opening through which the molecules are effusing.

What are some real-world applications of understanding the average speed of effusing molecules?

Understanding the average speed of effusing molecules has various real-world applications, such as in gas diffusion processes, the design of gas separation systems, and in the study of gas transport in the atmosphere.

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