Physics - Heat & Thermo Question with Solution | TestHub

$⟨c^2⟩=\frac{7\times \frac{3kT}{28u}+1\times \frac{3kT}{2u}}{8}$, with $3kT=3\times 1.38\times 10^{-23}\times 300$ and $u=1.66\times 10^{-27}\mathrm{kg}$. $⟨c^2⟩\approx 7.01\times 10^5{\mathrm{m}}^2/{\mathrm{s}}^2$, so $c_{\text{rms }}\approx 838\mathrm{m}/\mathrm{s}=375\sqrt{5}\mathrm{m}/\mathrm{s}$.