How can we get PV =NKBT  . what is the value of KB?

Hello!

Let's start from the famous ideal gas equation

PV = nRT   (1)  (this comes as a consequence of the ideal gas laws)

here

R is the gas constant

n is the number of moles

and also

n = N/NA

where

N is the number of molecules

NA is the Avogadro's Number

 

thus, putting the value of n in equation (1), we get

PV = (N/NA)RT  (2)

 

here also the Boltzmann's Constant

kB = R/NA

or R = NAkB

 

we can put the value of R in equation (2), thus

PV = (NAkB)(N/NA)T

thus,

PV = NkBT

 

the value of the Boltzmann's Constant is  1.38 X 10-23 J/K

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