Chemistry - Ideal Gas Question with Solution | TestHub

Most probable velocity${\text{C}}_{\text{mpv}}=\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}2\text{R}\text{T}}{\text{M}}}$

Mean velocity${\text{C}}_{\text{avg}}=\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}8\text{R}\text{T}}{\pi \text{M}}}$

Root mean square velocity${\text{C}}_{\text{rms}}=\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}3\text{R}\text{T}}{\text{M}}}$

$\begin{array}{l}{{\text{C}}_{\text{mpv}}\text{ :}{\text{ C}}_{\text{avg}}\text{ :}\text{ C}}_{\text{rms}}=\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}2\text{R}\text{T}}{\text{M}}}:\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}8\text{R}\text{T}}{\pi \text{M}}}:\sqrt{\frac{\mathrm{}\mathrm{}\mathrm{}\mathrm{}3\text{R}\text{T}}{\text{M}}}\\ =\sqrt{2}:\sqrt{\frac{8}{\pi }}:\sqrt{3}\end{array}$