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Five millilitires of a gas (A) containin...

Five millilitires of a gas (A) containing only C and H was mixed with an excess of oxygen (30 ml) and the mixture was exploded by means of an electric spaek. After the explosion, the remaining volume of the mixed gasses was 25 ml. On adding a concentrated solution of KOH, the volume further diminished to 15 ml. The residual gas being pure oxyges.

The molecular formula of gas (A) is:

Text Solution

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In the present case, `V prop n` ( `:'` all the volumes are measured under identical conditions of temperature and pressure) Hence, the reaction stoichiometry can be solving using volumes as :
`C_(x)H_(y) (g)+(x+y/4)O_(2) (g) rarr xCO_(2)(g)+y/2 H_(2)O (l)`
volume of `CO_(2)(g)+O_(2)(g)` (remaining unreacted)`=25`
`implies` volume of `CO_(2)(g)` produced
`=10` mL (`15` mL `O_(2)` remaining)
`:'" "1 mL C_(x)H_(y)` produces `x` mL of `CO_(2)`
`:." "5` mL `C_(x)H_(y)` will produces `5 xmL` of `CO_(2)=10` mL
`implies" "x=2`
Also, `1` mL `C_(x)H_(y)` combines with `(x+y/4)`mL of `O_(2)`
`5`mL `C_(x)H_(y)` will combine with `5(x+y/4)` mL of `O_(2)`
`implies 5(x+y/4)=15 (15" mL of "O_(2)" out of "30 mL)" "` (remaining unreacted)
`implies y=4`, hence hydrocarbon is `C_(2)H_(4)`.
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