If the rate of diffusion of gas A is that of gas B, what will be the density ratio of A to B ()? | States of Matter and Gaseous State — Chem-Mantra | Chem-Mantra

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Question

If the rate of diffusion of gas A is $5\text{ times}$ that of gas B, what will be the density ratio of A to B ($d_A/d_B$)?

Answer: A

💡 Solution & Explanation

$r_A/r_B = \sqrt{d_B/d_A}$. Given $r_A/r_B = 5$, we have $5 = \sqrt{d_B/d_A} \implies 25 = d_B/d_A$. Therefore, the ratio $d_A/d_B = 1/25$.

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