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Equipartition Theorem

A gaseous mix...

Question

A gaseous mixture containing equal moles of $H_{2}, O_{2}$ and $H e$ is subjected to series of effusion steps. The composition (by moles) of effused mixture after 4 effusion steps is $x : 1 : y$ respectively. Then the value of $(\frac{x}{y})$ is:

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Solution

As rate of effusion is inversely proportional to square root of molar mass, so ratio of hydrogen to helium (when for oxygen it is one) is 4:1.

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