Advanced Kinetic Theory & Numericals

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1.
The translational kinetic energy of 1 mole of any ideal gas at 300 K is:
2.
A container has 1 mole of He and 1 mole of Ar. The average molar mass of the mixture is:
3.
If the RMS speed of gas molecules is doubled by heating at constant volume, the temperature becomes:
4.
At what temperature is the RMS speed of hydrogen molecules equal to the escape velocity from Earth (11.2 km/s)?
5.
The RMS speed of nitrogen at 27 degrees C ($M = 28 \times 10^{-3}$ kg/mol) is approximately:

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