# Boltzmann Constant

on . Posted in Thermodynamics

Boltzmann constant, abbreviated as $$k$$ or $$k_b$$, is a porportionality factor which compares the average relative kinetic energy of particales in a gas with the temperature of the gas.The Boltzmann constant is a factor in the field of thermodynamics and statistical mechanics. It appears in the Boltzmann distribution, which describes the statistical behavior of particles in a gas.

## Boltzmann constant Formula

$$\large{ k_b = \frac{ p \; V }{ T_a \; n } }$$
Symbol English Metric
$$\large{ k_b }$$ = Boltzmann constant  $$\large{ \frac{lbm-ft^2}{sec^2} }$$  $$\large{ \frac{kJ}{molecule-K} }$$
$$\large{ T_a }$$ = absolute temperature $$\large{ F}$$ $$\large{ K }$$
$$\large{ n }$$ = number of molecules of gas $$\large{ dimensionless }$$
$$\large{ p }$$ = pressure $$\large{ \frac{lbf}{in^2} }$$ $$\large{ Pa }$$
$$\large{ V }$$ = volume $$\large{ in^3}$$ $$\large{ mm^3 }$$

## Boltzmann constant

$$\large{ k_b = 1.3807\;x\;10^{-23} \; \frac{kJ}{molecule-K} }$$     (these units are the same as $$\large{ \frac{kg-m^2}{s^2} }$$) Tags: Temperature Constant