Average Speed of Hydrogen molecules?

Thread starter bse
Start date Feb 19, 2008
Tags

Average Average speed Hydrogen Molecules Speed

AI Thread Summary

The average speed of hydrogen molecules at room temperature can be calculated using the equation V = sqrt(3*T*k/m), where T is the absolute temperature in Kelvin, k is the Boltzmann constant (1.3805 x 10^-23 J/K), and m is the mass of the gas particle. This formula derives from kinetic theory and is applicable to gases in thermal motion. Understanding the average speed of gas molecules is crucial in fields like thermodynamics and physical chemistry. For further insights into gas behavior, refer to Boltzmann's principles. The discussion emphasizes the importance of these calculations in understanding molecular dynamics.

Feb 19, 2008

bse

What's the average speed of hydrogen molecules at room temperature and how do you figure it out? Is there an equation?

thanks

Physics news on Phys.org

Feb 20, 2008

mgb_phys

Science Advisor

Homework Helper

V = sqrt(3*T*k/m)

T = absolute temperature (in Kelvin)
k = Boltzman constant = 1.3805*10^-23 J/K
m = mass of the gas particle

For anything in thermal motions and gases look up "Boltzman"

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...

View full post »