Which of the following pairs of gases will have identical rate of effusion under similar conditions?

Diprotium and dideuterium

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Carbon dioxide and ethane

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Dideuterium and helium

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Ethene and ethane

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Solution

The correct option is C Dideuterium and helium
$\frac{r_{1}}{r_{2}} = \sqrt{\frac{M_{2}}{M_{1}}}$
$If r_{1} = r_{2} then M_{1} = M_{2}$
Dideuterium and helium have same molar mass. Hence, they will effuse with identical rate under identical conditions.

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