Why Is the Average Velocity of Gas Molecules Zero?

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SUMMARY

The average velocity of gas molecules is zero due to the equal likelihood of particles having positive or negative velocities in all directions. This principle is rooted in the kinetic theory of gases, which states that gas molecules move randomly and uniformly. Consequently, when calculating the average velocity, the positive and negative components cancel each other out, resulting in a net average velocity of zero.

PREREQUISITES
  • Kinetic theory of gases
  • Understanding of vector quantities
  • Basic principles of thermodynamics
  • Familiarity with statistical mechanics
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  • Study the kinetic theory of gases in detail
  • Explore vector addition and its implications in physics
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  • Investigate thermodynamic properties of gases
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Students studying physics, particularly those focusing on thermodynamics and kinetic theory, as well as educators seeking to explain gas behavior in a classroom setting.

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Homework Statement



Why is <vx> = 0 this is a gas molecule

Homework Equations





The Attempt at a Solution



I don't understand how the velocity could ever be zero?
 
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The average velocity of these particles is zero, because each particle is equally likely to have a positive or negative velocity in any direction.

Actually I think this is the reason
 

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