Maxwell Boltzmann Formula clearly describes the distribution of energy between identical particles but which are distinguishable.
Formula of Maxwell Boltzmann
\(\begin{array}{l}f(E)=\frac{1}{Ae^{\frac{E}{kT}}}\end{array} \)
Where,
- f is the energy distribution
- E is the energy of the system
- \(\begin{array}{l}k\,=\,Boltzmann\,constant\,=\,1.38\times 10^{-23}m^{2}kg/sK^{2}\end{array} \)
- T is the absolute temperature in Kelvin
Solved Example
Example 1:
Calculate the Maxwell Boltzmann for a blackbody whose temperature is 5000000 K. Also, determine if the distribution is larger or shorter.
Solution:
The Maxwell Boltzmann formula is:
\(\begin{array}{l}f(E)=\frac{1}{Ae^{\frac{E}{kT}}}\end{array} \)
Substituting the values we get,
f = 0.9998
Also, there is a rise in the temperature therefore the distribution is larger.
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