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The rate of diffusion of methane at a given temperature is twice that of a gas X. The molecular weight of X is

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The rate of diffusion of methane at a given temperature is twice that of a gas X. The molecular weight of X is

(a) 64.0

(b) 32.0

(c) 4.0

(d) 8.0

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1 Answer

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Correct option is (a) 64.0

\(\frac{r_{CH_4}}{r_x} = 2 = \sqrt{\frac{M_x}{M_{CH_4}}} = \sqrt {\frac{M_x}{16}}\)

\(M_x = 64\)

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