Calcolatore Fattore di Compressibilità
Calcola il fattore di compressibilità Z per valutare il comportamento reale di un gas.
RMS Speed
515.2 m/s
RMS Speed vs Temperature (T)
Formula
## 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.
Esempio Risolto
Calculate the RMS speed of N₂ molecules (M = 0.028 kg/mol) at 298 K.
- 01v_rms = √(3RT/M)
- 02v_rms = √(3 × 8.314 × 298 / 0.028)
- 03v_rms = √(7434.6 / 0.028)
- 04v_rms = √(265521)
- 05v_rms = 515.3 m/s
Domande Frequenti
What is RMS speed?
RMS speed is the square root of the average of the squared molecular speeds. It gives a measure of the typical speed of molecules in a gas.
How does RMS speed relate to temperature?
RMS speed is proportional to √T. Doubling the absolute temperature increases RMS speed by a factor of √2 ≈ 1.41.
Why use kg/mol for molar mass?
The gas constant R = 8.314 J/(mol·K) uses SI units. Molar mass must be in kg/mol (not g/mol) for the units to work out to m/s.
Impara