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Dimethyl ether decomposes as CH3OCH3(g) → CH4(g) + CO(g) + H2(g) when CH3OCH3 decomposes to 20% extent under certain conditions, what is the ratio of diffusion of pure CH3OCH3 with methane?

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Dimethyl ether decomposes as

CH3OCH3(g) → CH4(g) + CO(g) + H2(g)

when CH3OCH3 decomposes to 20% extent under certain conditions, what is the ratio of diffusion of pure CH3OCH3 with methane?

(a) 0.59 : 1

(b) 1.18 : 1

(c) 2.36 : 1

(d) 1.77 : 1

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Correct answer: (c) 2.36 : 1

Explanation:

\(\frac{r_{CH_3OCH_3}}{r_{CH_4}}\)

= \(\sqrt{\frac{M_{CH_4}}{M_{CH_3OCH_3}}}\) x \(\frac{pCH_3OCH_3}{PCH_4}\)

= \(\sqrt{\frac{16}{46}}\) x \(\frac{0.8}{0.2}\) = 2.36:1

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