Calculateur de Facteur de Compressibilité — Formule
## Root-Mean-Square Speed
### Formula
**v_rms = √(3RT / M)**
Where:
- **v_rms** = root-mean-square speed (m/s)
- **R** = 8.314 J/(mol·K)
- **T** = temperature (K)
- **M** = molar mass (kg/mol)
RMS speed is slightly higher than the average molecular speed due to the squaring in the averaging.
### Formula
**v_rms = √(3RT / M)**
Where:
- **v_rms** = root-mean-square speed (m/s)
- **R** = 8.314 J/(mol·K)
- **T** = temperature (K)
- **M** = molar mass (kg/mol)
RMS speed is slightly higher than the average molecular speed due to the squaring in the averaging.
Exemple Résolu
Calculate the RMS speed of N₂ molecules (M = 0.028 kg/mol) at 298 K.
- v_rms = √(3RT/M)
- v_rms = √(3 × 8.314 × 298 / 0.028)
- v_rms = √(7434.6 / 0.028)
- v_rms = √(265521)
- v_rms = 515.3 m/s