Maxwell Boltzmann Formula

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

Formula of Maxwell Boltzmann

\(f(E)=\frac{1}{Ae^{\frac{E}{kT}}}\)

Where,

  • f is the energy distribution
  • E is the energy of the system
  • \(k\,=\,Boltzmann\,constant\,=\,1.38\times 10^{-23}m^{2}kg/sK^{2}\)
  • 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:

\(f(E)=\frac{1}{Ae^{\frac{E}{kT}}}\)

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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