The Boltzmann constant (kB or k), named after its discoverer, Ludwig Boltzmann, is a physical constant that relates

*the average relative kinetic energy of particles in a gas*with the

*temperature of the gas.*

*We can find it in the definitions of the kelvin ( which is the base unit of temperature) and the gas constant, and in*

**Planck's law**of black-body radiation and Boltzmann's entropy formula. The kelvin is defined by fixing the numerical value of the Boltzmann constant k to 1.380 649×10−23 J⋅K−1. _________________

#### The Boltzmann constant

## Boltzmann constant

is a physical constant relates*the relative kinetic energy of particles in a gas*with the

*temperature of the gas.*

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#### Application

## Used in Planks Constant

Describes density of electromagnetic radiation emitted by a black body thermal equilibrium at a temperature T.View Portfolio

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## Gas Constant / Avogadro Number

Simple terms Boltzmann constant is Gas Constant devided by Avogadro Number. It's value is 1.38064852 × 10^{-23}m

^{2}kg s

^{-2}K

^{-1View Portfolio}

**mole**(symbol: mol) is the unit of measurement for amount of substance. It is defined as exactly

**6.02214076×10**constitutive particles, which may be atoms, molecules, ions, or electrons.

^{23}1 mole =

**6.02214076×10**particles. = N/N

^{23}_{A}where N = Number of molecules. and N

_{A = }Avogadro Number.

The gas constant is also known as the molar, universal, or ideal gas constant, denoted by the symbol R or R and is equivalent to the Boltzmann constant, but expressed in units of energy per temperature increment per mole, i.e. the pressure–volume product, rather than energy per temperature increment per particle.

**gas constant**= energy per temperature increment per mole. mole = 6.02214076×10

^{23}particles.

**boltzman constant**= energy per temperature increment per particles.

**Planck's law**describes the spectral density of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature T, when there is no net flow of matter or energy between the body and its environment.

How we reach at Boltzmann constant

gas constant if divided by Avogadro number we will get the Boltzmann constant....

Boltzmann constant

so

Boltzman constant is GasConstant / Avogadro Number.

N

_{A}x n = N

NA = Avogadro number

n = moles

N = Number of molecules

In Ideal Gas Law

PV = constant.

and it depends on

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