Chemistry - Ideal Gas Question with Solution | TestHub

$\frac{{\text{u}}_{\text{rms}}}{{\text{u}}_{\text{rms}}^{\prime }}=\sqrt{\frac{\frac{3\text{RT}}{\text{M}}}{\frac{3\text{RT'}}{\text{M}}}}=\sqrt{\frac{\text{T}}{\text{T'}}}$

So$\frac{100\mathrm{m}/\mathrm{s}}{{\mathrm{u}}_{\mathrm{r}\mathrm{m}\mathrm{s}}^{\mathrm{\prime }}}=\sqrt{\frac{25\text{ K}}{100\text{ K}}}=\frac{1}{2}$

or${\mathrm{u}}_{\mathrm{r}\mathrm{m}\mathrm{s}}^{\mathrm{\prime }}=2\times 100\text{ m}{\text{s}}^{-1}$

$=200\text{ m}{\text{s}}^{-1}$.