Editing Gas constant (section)

== Relationship with the Boltzmann constant ==
The [[Boltzmann constant]] ''k''<sub>B</sub> (alternatively ''k'') may be used in place of the molar gas constant by working in pure particle count, ''N'', rather than amount of substance, ''n'', since
: <math>R = N_\text{A} k_\text{B},</math>
where ''N''<sub>A</sub> is the [[Avogadro constant]].
For example, the [[ideal gas law]] in terms of the Boltzmann constant is
: <math>pV = Nk_\text{B} T,</math>
where ''N'' is the number of particles (molecules in this case), or to generalize to an inhomogeneous system the local form holds:
: <math>p = n k_\text{B} T,</math>
where ''n'' = ''N''/''V'' is the [[number density]].
Finally, by defining the [[kinetic energy]] associated to the temperature,
: <math>T := k_\text{B} T,</math>
the equation becomes simply
: <math>p = n T,</math>
which is the form usually encountered in statistical mechanics and other branches of theoretical physics.