• # question_answer The ratio of the rate of diffusion of a given element to that of helium is 1.4. The molecular weight of the element is [Kerala PMT 1990] A)                 2              B)                 4 C)                 8              D)                 16

Correct Answer: A

Solution :

$\frac{{{r}_{g}}}{{{r}_{He}}}=\sqrt{\frac{{{M}_{He}}}{{{M}_{g}}}}\therefore {{M}_{g}}={{M}_{He}}.\frac{{{r}^{2}}_{He}}{{{r}^{2}}_{g}}=\frac{4}{{{(1.4)}^{2}}}=\frac{4}{1.96}=2$                                 $\left[ Note:1.4=\sqrt{2} \right]$

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