The ratio of the average translational kinetic energies of hydrogen and oxygen at the same temperature is
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A key result from the kinetic theory of gases is that the average kinetic energy of gas molecules depends only on the temperature. While heavier molecules (like oxygen) move slower on average than lighter molecules (like hydrogen) at the same temperature (since $v_{rms} \propto 1/\sqrt{M}$), their average kinetic energies ($1/2 m v^2$) are identical.