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(D) The absolute temperature $T$ of an ideal gas is directly related to the kinetic energy of its molecules.According to the kinetic theory of gases,t

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The mean square velocity of the molecules

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(D) The absolute temperature $T$ of an ideal gas is directly related to the kinetic energy of its molecules.According to the kinetic theory of gases,the root mean square velocity $(v_{RMS})$ is given by $v_{RMS} = \sqrt{\frac{3RT}{M}}$,which implies $v_{RMS}^2 = \frac{3RT}{M}$.Thus,the mean square velocity $(v_{RMS}^2)$ is directly proportional to the absolute temperature $T$.Similarly,the velocity of sound in an ideal gas is given by $v_{sound} = \sqrt{\frac{\gamma RT}{M}}$,which also depends on the absolute temperature $T$.However,in the context of the kinetic theory of gases,the mean square velocity is the fundamental property derived directly from the temperature definition.Therefore,the mean square velocity is the standard measure used to determine the absolute temperature.

The absolute temperature of a gas is determined by

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