How can we get value of Boltzmann's constant

Prove that k=1.38×10-23 J/K

Transcript

00:00How can we get value of Boltzmann's constant K is equal to 1.38 into 10 raised power minus

00:1423 Joule per Kelvin is Boltzmann constant K is equal to Gauss constant divided by Avogadro

00:29numbers. So the value of Gauss constant is constant and the value of Avogadro constant

00:39is also constant. The value of Gauss constant or universal Gauss constant is 8.314 Joule per

00:53mole per Kelvin divided by the value of Avogadro number which is also constant 6.02 into 10 raised

01:04power 23 molecules per mole. The value of Boltzmann constant will be when 8.314 is divided by

01:216.02 then we will get 1.381 into when we will take 10 raised power 23 from denominator to

01:35numerator. So it will be 10 raised power minus 23. We can also write units as Joule upon mole

01:45into Kelvin divided by mole. So K will be equal to 1.381 into 10 raised power minus 23 Joule upon mole into

02:08Kelvin. So K will be equal to Kelvin. So the value of denominator will be in numerator and the value

02:19of numerator will be in denominator. So it will be mole upon molecules. So mole will be get cancelled with

02:30mole with mole. So the unit of Boltzmann constant will be K will be equal to 1.381 into 10 raised power minus 23 Joule

02:47upon Kelvin into molecules.

02:51So K will be equal to K will be equal to K will be equal to 1.381 into 10 raised power minus 23 Joule per Kelvin.

03:09So this is our required condition for Boltzmann constant.