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 |
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| \(\large{ k_b = \frac{ p \; V }{ T_a \; n } }\) | ||
| 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 |
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| \(\large{ k_b = 1.3807\;x\;10^{-23} \; \frac{kJ}{molecule-K} }\) (these units are the same as \(\large{ \frac{kg-m^2}{s^2} }\)) |
Tags: Temperature Constant