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Vapour density of sulphur relative to ni...

Vapour density of sulphur relative to nitrogen gas at STP is 9.143. determine the molecular formula of sulphur vapour.

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If the molecular masses of two gases be `M_(1) and M_(2)` then the vapour density of the first gas, relative to the second gas `[(D_(1))_(2)]=M_(1)//M_(2)`.
So, vapour density of sulphur vapour relative to nitrogen
gas=(`"Molecular mass of sulphur vapour")/("molecular mass of nitrogen gas")`
`therefore` Molecular mass of sulphur=`9.143xx28=256.004`
Now, the atomic mass of sulphur=32
`therefore`Atomicity of sulphur vapour `=(256.04)/(32)~~8`
Hence, molecular formula of sulphur=`S_(8)`.
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