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One male of nitrogen gas at 0.8 atm take...

One male of nitrogen gas at `0.8` atm takes 38 seconds on diffuse through a pinhole, whereas one mole of a compound of xenon with fluorine at 1.6 atm takes 57 secondes to diffuse through the same hole. Calculate molecular weight of the compound.

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Verified by Experts

The correct Answer is:
`00252.00`

`00252.00`
`(r_(1))/(r_(2))=sqrt((M_(2))/(M_(1)))xx(P_(1))/(P_(2))`
or `(n_(1))/(t_(1))xx(t_(2))/(n_(2))=sqrt((M_(2))/(M_(1)))xx(P_(1))/(P_(2))`
or `1/38xx57/1=sqrt(M/28)xx0.8/1.6`
`:. M=252`
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One mole of nitrogen gas at 0.8 atm takes 38 s to diffuse through a pinhole, whereas one mole of an unknown compound of xenon with fluorine at 1.6 atm takes 57s to diffuse through the same hole. Calculate the molecular formula of the compound.

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