Boltzmann 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
\( k_b =  p \; V \;/\;  T_a \; n \)     (Boltzmann Constant) \( p =  k_b \; T_a \; n \;/\; V \) \( V =  k_b \; T_a \; n \;/\; p \) \( T_a =  p \; V \;/\;  k_b \; n \) \( n =  p \; V \;/\; k_b \; T_a \)
Symbol	English	Metric
\( k_b \) = Boltzmann constant (See Physics Constant)	\(lbm-ft^2 \;/\; sec^2\)	\(kJ \;/\; molecule-K\)
\( p \) = pressure	\(lbf \;/\; in^2\)	\( Pa \)
\( V \) = volume	\(in^3\)	\( mm^3 \)
\( T_a \) = absolute temperature	\( F\)	\( K \)
\( n \) = number of molecules of gas	\( dimensionless \)