Chemistry - Ideal Gas Question with Solution | TestHub

$\frac{{\mathrm{r}}_{{\mathrm{o}}_2}}{{\mathrm{r}}_{\mathrm{u}\mathrm{n}\mathrm{k}\mathrm{n}\mathrm{o}\mathrm{w}\mathrm{n}}}=\frac{\frac{{\mathrm{v}}_1}{{\mathrm{t}}_1}}{\frac{{\mathrm{v}}_2}{{\mathrm{t}}_2}}=\sqrt{\frac{{\mathrm{M}}_{\mathrm{u}\mathrm{n}\mathrm{k}\mathrm{n}\mathrm{o}\mathrm{w}\mathrm{n}}}{{\mathrm{M}}_{{\mathrm{o}}_2}}}$
$\Rightarrow \frac{\text{100}\text{×}\text{150}}{\text{100}\text{×}\text{75}}\text{=}\sqrt{\frac{{\text{M}}_{\text{unknown}}}{\text{32}}}$
$\Rightarrow {\text{M}}_{\text{unknown}}=128$
$\therefore \text{V}\text{.D}\text{.}=\frac{128}{2}=64$