**Problem : **
Samples of H_{2} and He are at the same temperature. What is the ratio of their average velocities?

M_{H2}(V_{H2})^{2} = M_{He}(V_{He})^{2} |

Rearranging and solving this equation, we find that = .

**Problem : **
A volume of H_{2} and an identical volume of O_{2} are at the same temperature. Plot the Maxwell-Boltzmann speed distributions for the two gases on the same graph.

**Problem : **
Calculate $v_{\mbox{rms}}$ for a sample of O_{2} at 300 K.

v_{rms} | = | ||

= | |||

= | 480m/s |

Remember that M must be in !

**Problem : **
Rank *v*_{rms}, , and *v*_{p} in order of increasing speed.

**Problem : **
Calculate the ratio of the rates of effusion of H_{2} over He.

= | |||

= |

Note that this exactly mirrors the ratio of the average velocities of the two gases.

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