mean translational kinetic energy
MeanTranslationalKineticEnergy
2004-11-24 22:01:53
2004-11-24 23:26:30
Definition
The mean translational kinetic energy is a result from the Maxwell-Boltzmann distribution and is given by
\begin{equation}
K_{avg} = \frac{1}{2} m {v^2}_{rms}
\end{equation}
A more useful form of this equation is in terms of temperature. Temperature is brought in through the root mean square speed derived in the kinetic thoery of gases
\begin{equation}
v_{rms} = \sqrt{\frac{3RT}{M}}
\end{equation}
where R is the gas constand
\begin{equation}
R = 8.31 \, [ \frac{J}{mol * K} ]
\end{equation}
and