At what temperature will the rms speed of oxygen gas molecules ($M = 32\text{ g/mol}$) be equal to the escape speed from Earth ($11.2\text{ km/s}$)?
2.
A mixture of 2 moles of Helium ($\text{He}$) and 3 moles of Oxygen ($\text{O}_2$) is kept at temperature $T$. Find total internal energy and ratio of specific heats $\gamma_{mix}$.