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A hydrocarbon contains 10.5 g of carbon ...

A hydrocarbon contains `10.5 g` of carbon per gram of hydrogen. `1 L` of vapour of the hydrocarbon at `127^(@)C` and 1 atm pressure weighs `2.8 g`. Find the molecular formula of the hydrocarbon.

Text Solution

Verified by Experts

The correct Answer is:
`(C_(7)H_(8))`
First we determine empirical formula as

`rArr` Empirical formula `C_(7)H_(8)` , From gas equation: `pV = ((w)/(M)) RT`
`M = (wRT)/(pV0 = (2.8 xx 0.082 xx 400)/(1 xx 1) = 91.84 ~~ 92 :'` Molar mass (M) is same as empirical
formula weight. = Empirical formula `= C_(7)H_(8)`
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