At what temperature is the root-mean-square velocity of oxygen molecules equal to 500 m / s?

Given: V (the mean square velocity of the molecules that the oxygen molecule has reached) = 500 m / s.

Constants: M (molar mass of oxygen) = 0.028 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

To determine the desired oxygen temperature, we use the formula: V ^ 2 = 3 * R * T / M, whence T = V ^ 2 * M / (3 * R).

Calculation: T = 500 ^ 2 * 0.03 ^ 2 / (3 * 8.31) ≈ 321 K or 48 ºС.

Answer: Oxygen molecules can reach a speed of 500 m / s at a temperature of 48 ºС.