Predict the correct order of rate of diffusio | vedclass

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Question

(A) According to Graham's Law,the rate of diffusion $(r)$ of a gas is inversely proportional to the square root of its molar mass $(M)$: $r \propto \f

Vedclass · Accepted Answer

$CO_2 > SO_2 > SO_3 > PCl_3$

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(A) According to Graham's Law,the rate of diffusion $(r)$ of a gas is inversely proportional to the square root of its molar mass $(M)$: $r \propto \frac{1}{\sqrt{M}}$.First,calculate the molar masses of the given molecules:$CO_2: 12 + 2(16) = 44 \ g/mol$$SO_2: 32 + 2(16) = 64 \ g/mol$$SO_3: 32 + 3(16) = 80 \ g/mol$$PCl_3: 31 + 3(35.5) = 31 + 106.5 = 137.5 \ g/mol$Since the rate of diffusion is inversely proportional to the square root of the molar mass,the molecule with the lowest molar mass will diffuse the fastest.The order of molar masses is: $CO_2 (44) Therefore,the order of the rate of diffusion is: $CO_2 > SO_2 > SO_3 > PCl_3$.

Predict the correct order of rate of diffusion of the following molecules.

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