Calculate the root-mean-square velocity for the O₂ molecules in a sample of O₂ gas at 20.9°C.(R = 8.3145 J/K⋅mol) A) 15.14 m/s B) 127.6 m/s C) 276.3 m/s D) 478.6 m/s E) 9.115 × 10²⁶ m/s

Question

Quizplus · Accepted Answer

The root-mean-square velocity (v_rms) is calculated using the formula v_rms = sqrt(3RT/M), where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass in kg/mol. For O2 at 20.9°C (or 294.05 K) and M = 0.032 kg/mol, v_rms ≈ 478.6 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