Kinetic Theory — Prelims Questions

A gas mixture consists of 2 moles of oxygen ($O_2$) and 4 moles of argon ($Ar$) at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is:

At what temperature will the RMS speed of hydrogen molecules be equal to the RMS speed of oxygen molecules at $47^\circ C$?

Which of the following statements is NOT a postulate of the Kinetic Theory of Gases for an ideal gas?

If the temperature of an ideal gas is increased from $27^\circ C$ to $327^\circ C$, what is the ratio of its initial RMS speed to its final RMS speed?

The ratio of molar specific heats for a gas is $\gamma = 1.4$. This gas is most likely:

The mean free path of a gas molecule at a given temperature is $\lambda$. If the pressure of the gas is doubled at constant temperature, what will be the new mean free path?

An ideal gas is enclosed in a container. If the volume of the container is halved while the temperature is kept constant, what happens to the average translational kinetic energy of the gas molecules?