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How to calculate the mean square velocity of a gas?
How would I calculate the root mean square velocity of gaseous neon atoms at 25 ∘C ? I'm so confused.
1 Answer
- anonymousLv 74 years ago
ν_rms = √(3RT / M)
R = ideal gas constant = [(8.314 kg•m²) / (s²•mol•K)]
T = temperature (K)
M = molar mass (kg/mol)
You need to convert the 25°C to Kelvin.
In this case, M = molar mass Ne = 0.02018 kg/mol, and 25°C = 298.15 K
ν_rms = √{ {3 * [(8.314 kg•m²) / (s²•mol•K)] * 298.15 K} / (0.02018 kg/mol) )
= 607 m/s