A gaseous mixture contains SO3(g) and CH4(g) in 5 : 1 ratio by mass. Calculate Q where Q=200 × ratio of total number of atoms present in SO3(g) to total number of atoms present in CH4(g).

Weight ratio = 5:1∴ Molar ratio=580:116, ∴ ratio of atoms . NA×4:5×NA number of atoms Q=200×580×NA×4116×NA×5, Q=200×45=160.

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A gaseous mixture contains $S O_{3} (g)$ and $C H_{4} (g)$ in 5 : 1 ratio by mass. Calculate Q where $Q = 200 \times ratio of total number of atoms present in S O_{3} (g)$ to total number of atoms present in $C H_{4} (g) .$

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Detailed Solution

Weight ratio = 5:1

$∴ Molar ratio = \frac{5}{80} : \frac{1}{16}, ∴ ratio of atoms . N_{A} \times 4 : 5 \times N_{A} number of atoms Q = \frac{200 \times \frac{5}{80} \times N_{A} \times 4}{\frac{1}{16} \times N_{A} \times 5}, Q = 200 \times \frac{4}{5} = 160 .$

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