Relative velocity in Mean Free Path problems

Thread starter casanova2528
Start date Nov 12, 2008
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Mean Mean free path Path Relative Relative velocity Velocity

AI Thread Summary

The average relative velocity in Mean Free Path problems is derived from the kinetic theory of gases, where it is shown to be equal to the square root of 2 times the magnitude of the x-direction velocity due to the isotropic nature of molecular motion. This relationship arises from the consideration of two particles moving in random directions, leading to an effective increase in their relative velocity. Understanding this concept is crucial for solving problems related to gas laws, including Ideal and Van der Waals gases. The discussion highlights the importance of grasping the underlying physics to tackle these types of problems effectively. Mastery of these principles is essential for accurate applications in gas behavior analysis.

Nov 12, 2008

casanova2528

Why is average relative velocity equal to the square root of 2 times the magnitude of the x direction velocity?

I'm trying to solve some problems that deal with gas laws from Ideal gases to the Van der Waals gases.

Does anybody have any ideas?

Thanks.

Mathematics news on Phys.org

Aug 25, 2010

Oojee

http://hyperphysics.phy-astr.gsu.edu/hbase/kinetic/menfre.html#c5

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