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