The correct order of rate of diffusion of gases $S O_{3}, N_{2}, C H_{4}, P C l_{3}$ under same condition is?

N_{2} < C H_{4} < P C l_{3} < S O_{3}

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N_{2} < C H_{4} < S O_{3} < P C l_{3}

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P C l_{3} < S O_{3} < N_{2} < C H_{4}

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C H_{4} < N_{2} < P C l_{3} < S O_{3}

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Solution

The correct option is C $P C l_{3} < S O_{3} < N_{2} < C H_{4}$
$\begin{matrix} Rate of diffusion α \frac{1}{\sqrt{m - -}} \end{matrix}$
$S O_{3} m w = 32 + 16 \times 3 = 80$
$N_{2} m w = 14 \times 2 = 28$
CH4 $m w = 12 + 4 \times 1 = 16$
$P C l_{3}$ mw= $31 + 3 \times 35.5 = 137.5$

$γ \times \frac{1}{\sqrt{m}}$
${{{\Rightarrow_{C H_{4}} ⟩}_{N_{2}} ⟩}_{S 03} ⟩}_{P C l_{3}}$
Correct Answer -C

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