Problem : Samples of H _{2} and He are at the same temperature. What is the ratio of their average velocities?
The molar mass of H _{2} is half that of He. The temperatures of the two samples are the same, so their kinetic energies are the same. This leads to the following equation:
M _{H2 }(V _{H2 })^{2} = M _{He}(V _{He})^{2} |
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 |
Problem : Rank v _{rms} , , and v _{p} in order of increasing speed.
v _{p} < < v _{rms}Problem : Calculate the ratio of the rates of effusion of H _{2} over He.
= | |||
= |