Chapter 5, Problem 5.62P

Helium (He) is the lightest noble gas component of air, and xenon (Xe) is the heaviest. [For this problem, use $\text{R = 8}\text{.314 J/(mol}\cdot \text{K) and M in kg/mol}\text{.]}$ (a) Find the rms speed of He is winter $\text{(0}{\text{.}}^{\text{o}}\text{C)}$ and in summer $\text{(30}{\text{.}}^{\text{o}}\text{C)}\text{. }$ (b) Compare the rms speed of He with that of Xe at $\text{30}{\text{.}}^{\text{o}}\text{C}$. (c) Find the average kinetic energy per mole of He and of Xe at $\text{30}{\text{.}}^{\text{o}}\text{C}$. (d) Find the average kinetic energy per molecule of He at $\text{30}{\text{.}}^{\text{o}}\text{C}$.