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It takes 192 sec for an unknown gas to d...

It takes 192 sec for an unknown gas to diffuse through a porous wall and 84 sec for `N_(2)` gas to efffuse at the same temperature and pressure. What is the molar mass of the unknown gas?

Text Solution

Verified by Experts

`(gamma_("unknown"))/(gamma_(N_(2)))= sqrt((m_(N2))/(m_("unknown")))`
`(84 sec)/(192 sec) = sqrt((28 g mol^(-1))/(m_("unknown")))=(28 g mol^(-1))/(m_("unknown"))`
`m_("unknown") = 28 g mol^(-1) xx ((192 sec)/(84 sec))^(2)`
` m_("unknown") = 146 . 28 g mol^(-1)` .
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