Average Velocity: Find Average Velocity of Gas Particles

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SUMMARY

The discussion focuses on calculating the average velocity of gas particles in an ideal gas scenario. The formula presented is \(\mathbb{V}=\frac{\sum_{i=1}^{N}v_i}{N}\), where \(\mathbb{V}\) represents the average velocity, \(N\) is the total number of particles, and \(v_i\) denotes the velocity of each individual particle. Clarification was provided regarding the upper limit of the summation, confirming it should indeed be \(N\). This formula is essential for understanding kinetic theory in gas dynamics.

PREREQUISITES
  • Understanding of ideal gas laws
  • Basic knowledge of statistical mechanics
  • Familiarity with summation notation
  • Concept of particle velocity in physics
NEXT STEPS
  • Explore kinetic theory of gases
  • Learn about the Maxwell-Boltzmann distribution
  • Study the implications of average velocity on gas pressure
  • Investigate the relationship between temperature and particle velocity
USEFUL FOR

Students and professionals in physics, particularly those studying thermodynamics and kinetic theory, as well as researchers focusing on gas dynamics and molecular behavior.

God's Pen
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Hello:smile:
suppose we have a gas (ideal) inside that gas there are particles ([tex]N[/tex]
particles) and each particle has a certain velocity [tex]v[/tex].
i want to find the average velocity of all the particles inside that gas.
would it be [tex]\mathbb{V}=\frac{\sum_{1}^{n}v_i}{N}[/tex]
[tex]\mathbb{V}[/tex] the average velocity.
thanks.
 
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God's Pen said:
Hello:smile:
suppose we have a gas (ideal) inside that gas there are particles ([tex]N[/tex]
particles) and each particle has a certain velocity [tex]v[/tex].
i want to find the average velocity of all the particles inside that gas.
would it be [tex]\mathbb{V}=\frac{\sum_{1}^{n}v_i}{N}[/tex]
[tex]\mathbb{V}[/tex] the average velocity.
thanks.

Wouldn't the upper limit on the sum also be N?
 
berkeman said:
Wouldn't the upper limit on the sum also be N?
yes,i meant N,is it okay ?
 
Last edited:

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