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.
- NA is Avogadro number.
- 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.
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