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S(4)N(x) in vapour state is subjected to...

`S_(4)N_(x)` in vapour state is subjected to decompoition totally to get octaatomic sulphur vapour and nitrogen gas . Under similar conditions the volume of products is 2.5 times to the reactants. Deduce the molecular formula of the nitride of sulphur. Calculate the weight percentage of nitrogen.

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The decompoition is given as `underset((g))(S_(4)N_(x))to underset((g))((1)/(2))S_(8) +underset((g))((x)/(8))N_(2)`
By analysing the given data , 1+x=5:x=4
Molecular formula =`S_(4)N_(4)`
Weight percentage of nitrogen `(4xx14)/(4(32+14))xx10=30.43%`
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