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
\( k_b \;=\;  \dfrac{ p \cdot V }{  T_a \cdot n }\)     (Boltzmann Constant) \( p \;=\;  \dfrac{ k_b \cdot T_a \cdot n }{ V }\) \( V \;=\;  \dfrac{ k_b \cdot T_a \cdot n }{ p }\) \( T_a \;=\;  \dfrac{ p \cdot V }{  k_b \cdot n }\) \( n \;=\;  \dfrac{ p \cdot V }{ k_b \cdot T_a }\)
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	\( dimensionless \)	\( dimensionless \)