Calculate the root-mean-square velocity for the O₂ molecules in a sample of O₂ gas at 24.9°C.(R = 8.3145 J/K.mol) A) 15.24 m/s B) 139.3 m/s C) 278.2 m/s D) 481.9 m/s E) 9.177 $\times$ 10²⁶ m/s

Question

Quizplus · Accepted Answer

The root-mean-square velocity $ v_{rms} $ is calculated using the formula $ v_{rms} = \sqrt{\frac{3RT}{M}} $, where $ R $ is the gas constant, $ T $ is the temperature in Kelvin, and $ M $ is the molar mass in kg/mol. Convert 24.9°C to Kelvin (298.05 K) and use the molar mass of O$_2$ (0.032 kg/mol) to find $ v_{rms} \approx 481.9 $ m/s.

Calculate the Root-Mean-Square Velocity for the O2 Molecules in a Sample

Calculate the Root-Mean-Square Velocity for the O₂ Molecules in a Sample