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  \(\large{\frac{ ft-pdl }{ R^{-1} } }\)  \(\large{ JK^{-1} }\) 
- \(\large{ m^2-kg-s^{-2}-K^{-1} }\) 

Tags: Equations for Temperature Equations for Constant