# Boltzmann Constant

Written by Jerry Ratzlaff on . Posted in Thermodynamics

Boltzmann constant, abbreviated as $$k$$ or $$k_b$$, relates the average kinetic energy of molecules of a gas to its temperature.

## Boltzmann constant Formula

 $$\large{ k_b = \frac{ p \; V }{ T_a \; n } }$$

### Where:

$$\large{ k_b }$$ = Boltzmann constant

$$\large{ T_a }$$ = absolute temperature

$$\large{ n }$$ = number of molecules of gas

$$\large{ p }$$ = pressure

$$\large{ V }$$ = volume

## Boltzmann constant

 $$\large{ k_b = 1.820195 \;x\;10^{-22} \; \frac{ ft-pdl }{ R^{-1} } }$$ $$\large{ k_b = 1.38064852 \;x\; 10^{-23} JK^{-1} }$$

### Where:

 Units English SI $$\large{ k_b }$$ = Boltzmann constant $$\large{\frac{ ft-pdl }{ R^{-1} } }$$ $$\large{ JK^{-1} }$$ - $$\large{ m^2-kg-s^{-2}-K^{-1} }$$