 # Boltzmann Constant

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 kB. The value of Boltzmann constant is measured using J/K or m2Kgs-2K-1. Which is mostly observed in Boltzmann’s entropy formula and Planck’s law of Black body radiation.

## Value Of Boltzmann Constant

The values of Boltzmann constant is got by dividing gas constant R by Avogadro’s number NA. The value of k is

Boltzmann constant kB= 1.3806452 × 10-23J/K

## Value Of k

The value of Boltzmann constant in eV is 8.6173303 × 10-5 eV/K

The value of Boltzmann constant can be expressed in various units. The table given below comprised of the value of k along with different units.

 Value Of k Units 1.3806452 × 10-23 m2.Kg.s-2.K-1 8.6173303 × 10-5 eV.K-1 1.38064852 × 10-16 erg.K-1 2.0836612(12)×1010 Hz.K-1 3.2976230(30)×10-24 cal.K-1 0.69503476(63) cm-1.K-1 −228.5991678(40) dB.WK-1.Hz-1 4.10 pN.nm 0.0083144621(75) kJ.mol-1K-1 1.0 Atomic unit (u)

## What is Boltzmann Constant?

The Boltzmann constant is introduced by Max Plank and named after Ludwig Boltzmann. It is a physical constant obtained by taking the ratio of two constants namely gas constant and Avogadro number.

### Boltzmann constant Formula

The behaviour of the gases made to understand a step closer by Planck and Boltzmann by introducing constants. The value of Boltzmann constant is mathematically expressed as-

 $k=\frac{R}{N_{A}}$

Where,

• K is Boltzmann’s constant.
• R is the gas constant.

## Applications

The Boltzmann Constant is used in diverse disciplines of physics. Some of them are listed below-

• In classical statistical mechanics, Boltzmann Constant is used to expressing the equipartition of the energy of an atom.
• It is used to express Boltzmann factor.
• It plays a major role in the statistical definition of entropy.
• In semiconductor physics, it is used to express thermal voltage.

Hope you have understood what is Boltzmann constant. the value of Boltzmann constant or value of k or value of kb in different units along with the Boltzmann Constant formula and Application in physics.

Physics Related Topics:

Stay tuned with BYJU’S for more such interesting articles. Also, register to “BYJU’S-The Learning App” for loads of interactive, engaging physics related videos and an unlimited academic assist.