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Under the same conditions of temperature...

Under the same conditions of temperature and pressure, complete combustion of 1 volum of a gaseous hydrocarbon produces 3 volumes of carbon dioxide and 4 volumes of steam. What is the formula of the hydrocarbon?

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1 volume of hydrocarbon`+O_(2)=3` volumes of `CO_(2)+4` volumes of `H_(2)O` (steam) [under same conditions of temperature and pressure].
If 1 volume of hydrocarbon contains 'n' molecules, then under identical conditions of temperature and pressure 3 volumes of `CO_(2)` will contains '3n' molecules and 4 volumes of steam will contain '4n' molecules.
Therefore, 'n' molecules hydrocarbon='3n' molecules `CO_(2)` +'4n' molecules `H_(2)O`
Now, 3 molecules of `CO_(2)=3` atoms of C
[`because1` atom of C is present in 1 molecule of `CO_(2)`]
and 4 molecules of `H_(2)O=8` atoms of H
[`because` 2 atoms of H are present in 1 molecule of `H_(2)O`]
so, 1 molecule of hydrocarbon contains 3 atoms of C and 8 atoms of H.
`therefore` Molecular formula of the hydrogen `=C_(3)H_(8)`.
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