David Sang and Graham Jones Solutions for Chapter: Ideal Gases, Exercise 8: Questions

Four molecules have speeds $200,400,600$ and $800 \mathrm{m}{ \mathrm{s}}^{-1}$. Calculate their mean speed $⟨c⟩$.

Four molecules have speeds $200,400,600$ and $800 \mathrm{m}{ \mathrm{s}}^{-1}$. Calculate the square of their mean speed $<c{>}^2$.

Four molecules have speeds $200,400,600$ and $800 \mathrm{m}{ \mathrm{s}}^{-1}$. Calculate the mean-square speed $<c^2>$.

Four molecules have speeds $200,400,600$ and $800 \mathrm{m}{ \mathrm{s}}^{-1}$. Calculate their root-mean-square speed $c_{\text{r.m.s }}$.

Calculate the root-mean square speed of the molecules of hydrogen at $20{}^{\circ }\mathrm{C}$ given that each molecule of hydrogen has mass $3.35\times {10}^{-27} \mathrm{kg}$.