Boltzmann Constant

on . Posted in Thermodynamics

Tags: Temperature Constant

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 \(\large{ \frac{kg-m^2}{s^2} }\))


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Tags: Temperature Constant