Explanation
Given
Temperature = 24.0 C = 273 + 24.0 = 297 K
Required: Vrms of oxygen
Solution
Root mean square velocity is the average velocity of the molecules that make up a gas.
This value can be found using the formula:
[tex]V_{rms}=[\frac{3RT}{M}]^{\frac{1}{2}}[/tex]where
vrms = average velocity or root mean square velocity
R = ideal gas constant = R = 8.3145 kg·m2/s2/K·mol
T = absolute temperature = 297 K
M = molar mass = 31.998 g/mol = 0.03199 kg/mol
Vrms = [(3 x 8.3145 kg·m2/s2/K·mol x 297 K)/(0.03199 kg/mol)]^1/2
Vrms = 481.23 m/s
Answer
The root mean square velocity of O2 = 481.23 m/s
