# Boltzmann Constant

In thermodynamics, the Boltzmann constant is the physical constant relating the average kinetic energy of the gas particles and the temperature of the gas represented by k or kB. The value of the 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 obtained 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 the Boltzmann constant can be expressed in various units. The table given below consists 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 Planck and named after Ludwig Boltzmann. It is a physical constant obtained by taking the ratio of two constants namely the gas constant and Avogadro number.

### Boltzmann Constant Formula

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

 $$\begin{array}{l}k=\frac{R}{N_{A}}\end{array}$$

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

## Frequently Asked Questions – FAQs

### What is the value of Boltzmann constant?

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

### How is Boltzmann constant represented?

Boltzmann constant is represented as k or kB.

### What is the value of Boltzmann constant in eV?

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

True.

### Define Boltzmann constant?

Boltzmann constant is the physical constant relating the average kinetic energy of the gas particles and the temperature of the gas.
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