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A cinema hall has equidistant rows 1 m a...

A cinema hall has equidistant rows `1 m` apart. The length of the cinema hall is `287 m` and it has `287` rows. From one side of the cinema hall, laughing gas `(N_(2)O)` is released and from the other side, weeping gas `(C_(6)H_(5)COCH_(2)Cl)` is released. In which rows, spectors will be laughing and weeping simultaneously?

Text Solution

Verified by Experts

Molar weight of `C_(8)H_(7)Ocl=8xx12+7xx1+16+35.5`
`=154.5 g`.
Molar weight of `N_(2)O=2xx14+16=44g`
According to Graham's law of diffusion,
`(r_(N_(2)O))/(r_(C_(8)H_(7)OCl))=sqrt((M_(C_(8)H_(7)OCl))/(M_(N_(2)O)))=sqrt((154.5)/(44))=sqrt(3.5)=1.87 : 1`
`d_(N_(2)O)=(1.87)/(2.87)xx287=187th` row from `N_(2)O` side
`d_(C_(8)H_(7)OCl)=(1.0)/(2.87)xx287=100th` row from weeping gas side.
Therefore, the spectator from the side of `N_(2)O` in the `187th row` will be laughing and weeping simultaneously. Alternatively, the spectator from the side of weeping gas in the `100th` row will be laughing and weeping simultaneously.
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