Thermodynamics
Average Kinetic Energy (Gas)
Average translational KE of gas molecule.
Variables
KE_avgJ
Average KE per molecule
Mean kinetic energy
k_BJ/K
Boltzmann constant
1.38×10⁻²³
TK
Temperature
Absolute temperature
Derivation
From equipartition: ½kT per DoF × 3 translational DoF.
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Common questions
What is the Average Kinetic Energy (Gas) formula?
Average Kinetic Energy (Gas) is written KEₐᵥg = 3/2k_B T. Average translational KE of gas molecule. It belongs to Thermodynamics, under Kinetic Theory.
What are the units in KEₐᵥg = 3/2k_B T?
In SI units, KE_avg is average ke per molecule, measured in kg·m²/s²; k_B is boltzmann constant, measured in kg·m²/(s²·K); T is temperature, measured in K.
How is the Average Kinetic Energy (Gas) formula derived?
From equipartition: ½kT per DoF × 3 translational DoF. The result is KEₐᵥg = 3/2k_B T.