Average speed of effusing molecules

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SUMMARY

The discussion centers on calculating the average speed of effusing molecules using the equation =( Integral-from-0-to-inf(V*f(V)*dV) ) / ( Integral-from-0-to-inf (f(V)*dV) ). Participants clarify that the average speed differs from the most probable speed and emphasize the necessity of differentiating speed distribution functions to accurately determine both values. This distinction is crucial for understanding molecular effusion in thermal physics.

PREREQUISITES
  • Understanding of thermal physics concepts
  • Familiarity with speed distribution functions
  • Knowledge of integration techniques
  • Ability to differentiate mathematical functions
NEXT STEPS
  • Study the derivation of speed distribution functions in kinetic theory
  • Learn about the implications of average speed versus most probable speed
  • Explore applications of the effusion equation in real-world scenarios
  • Investigate advanced integration techniques for complex functions
USEFUL FOR

Students and educators in physics, particularly those focusing on thermodynamics and kinetic theory, as well as researchers interested in molecular behavior and effusion processes.

-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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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.
 
Yea, that worked.
 

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