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Kinetic theory of gases

Show that for a mixture of two gases at the same temperature, the ratio of the rms speeds of their molecules is equal to the inverse ratio of the square roots of their molecular masses.

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The average kinetic energy of a gas molecule due to the temperature is:


Where k is the Boltzman constant and T is the temperature.
So we see that both gases' molecules will have the same kinetic energy (it only depends on ...