# Boltzmann Constant

## Boltzmann Constant

The Stefan – Boltzmann Law deals with the black body radiation. It states that the total energy radiated per unit surface area of a black body in unit time is directly proportional to the fourth power of the black body’s thermodynamics temperature.

In thermodynamics, Boltzmann constant is the physical constant relating average kinetic energy of the gas particles and temperature of the gas represented by K (or) Kg. The value of Boltzmann constant is measured using J/K.

What is Boltzmann Constant?

The Boltzmann constant is introduced by Max Plank. It is a physical constant obtained by taking the ratio of two constant namely gas constant and Avogadro number. Value of Boltzmann constant KB = 1.38 x 10⁻²³ J/ K.

The value of Boltzmann constant in eV is 8.26 x 10⁻⁵ eV/ K.

Boltzmann Constant Formula:

The behavior of gases made to understand a step closer by Planck and Boltzmann by introducing constant. It is mathematically written as:

K = R/ NA; Where,

K = Boltzmann Constant,

NA = Avogadro number,

R = Gas Constant.

Application of Boltzmann Constant:

The Boltzmann Constant is a physical constant relating energy at the individual particles level with temperature. It is used in diverse disciplines of physics.

• It plays a major role in the statistical definition of entropy.
• In classical statistical mechanics, Boltzmann constant is used to express the equipartition of energy of an atom.
• It is used to express Boltzmann factor.