The rate of diffusion of Methane at certain temperature is 2 times that of gas X

Question

The rate of diffusion of Methane at certain temperature is 2 times that of gas X. The molecular mass of X is___.

Options:

A . 64

B . 32

C . 4

D . 8

Answer: Option A
:
A

\sqrt{\frac{M_{x}}{16}} = \sqrt{\frac{r_{C H_{4}}}{r_{x}}} = \sqrt{\frac{2}{1}}

Squaring both sides, we get

M_{x} = 16 \times 4 = 64

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