Assertion :Under similar conditions of temperature and pressure, $O_{2}$ diffuses 1.4 times faster than $S O_{2}$ . Reason: Density of $S O_{2}$ is 1.4 times greater than that of $O_{2}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is C Assertion is correct but Reason is incorrect
Rate of diffusion of gases is inversely proportional to the square root of the molecular mass of gases.
$R a t e \propto \sqrt{\frac{1}{M}}$ .

The smaller the value of $M$ , more is the rate of diffusion.

$O_{2} > S O_{2}$
32 64 = molar mass

$\frac{d_{1}}{d_{2}} = \sqrt{\frac{M_{2}}{M_{1}}} = \sqrt{\frac{64}{32}} = \sqrt{2} = 1.41$

$d_{O_{2}} = 1.41 d_{S O_{2}}$

$O_{2}$ diffuse 1.4 times faster than $S O_{2}$ because $M_{S O_{2}}$ is higher than $M_{O_{2}}$ .

But the density of SO $_{2}$ is lesser than O $_{2}$

Thus, Assertion is correct but Reason is incorrect

Hence, the correct option is $C$

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Assertion :Under similar conditions of temperature and pressure, O2 diffuses 1.4 times faster than SO2. Reason: Density of SO2 is 1.4 times greater than that of O2

Assertion :Under similar conditions of temperature and pressure, $O_{2}$ diffuses 1.4 times faster than $S O_{2}$ . Reason: Density of $S O_{2}$ is 1.4 times greater than that of $O_{2}$