Maxwell Boltzmann Formula

Maxwell Boltzmann Formula clearly describes the distribution of energy between identical particles but which are distinguishable.

Formula of Maxwell Boltzmann

Where,

• f is the energy distribution
• E is the energy of the system
• $\begin{array}{l}k=Boltzmannconstant=1.38\times {10}^{-23}{m}^{2}kg/s{K}^2\end{array}$
• 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:

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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