Theory of RMS Speed Formula Explained | Understanding Vrms = √(3RT/M)

  • Context: Undergrad 
  • Thread starter Thread starter l33t_V
  • Start date Start date
  • Tags Tags
    Rms Speed Theory
Click For Summary
SUMMARY

The discussion centers on the root mean square (RMS) speed formula, specifically Vrms = √(3RT/M), which is pivotal in kinetic theory. The formula relates the speed of gas molecules to temperature (T), the ideal gas constant (R), and molar mass (M). Users are directed to HyperPhysics resources for a deeper understanding of the kinetic theory and the derivation of this equation.

PREREQUISITES
  • Understanding of kinetic theory of gases
  • Familiarity with the ideal gas law
  • Basic knowledge of thermodynamics
  • Mathematics involving square roots and algebraic manipulation
NEXT STEPS
  • Explore the derivation of the ideal gas law
  • Learn about the relationship between temperature and molecular speed
  • Investigate the implications of molar mass on gas behavior
  • Study the applications of RMS speed in real-world scenarios
USEFUL FOR

Students of physics, educators teaching thermodynamics, and professionals in fields related to gas dynamics and molecular physics will benefit from this discussion.

l33t_V
Messages
8
Reaction score
0
Hello all,

I would like to know what is the theory behind the formula of the rms speed,
Vrms = root(3rt/M).

Thank you
 
Physics news on Phys.org

Similar threads

  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 23 ·
Replies
23
Views
4K
  • · Replies 11 ·
Replies
11
Views
12K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K