6 litre of mixture of methane and propane on complete combustion gives 7 litre of `CO_(2)`. Find out the composition of the mixture ?

Options

A. `5.5 `lit, `0.5` lit.
B. `4.5` lit, `1.5 ` lit
C. `3.5` lit, `1.5 ` lit
D. None of these

Answer

A

Explanation

Let the volume of `CH_(4)` in the mixture `=x ` litre.
Then the volume of `C_(3)H_(5)` in the mixture `=(6-x)` litre
`{:(CH_(4),+,2O_(2),rarr,CO_(2),+,2H_(2)O),(1 litre,,,,1 litre,,),(x litre,,,,x litre,,):}`
`{:(C_(3)H_(8),+,5O_(2),rarr,3CO_(2),+,4H_(2)O),(1 litre,,,,3 litre,,),(6-x,,,,3(6-x),,):}`
`x+3(6-x)=7`
`x+18-3x=7`
`-2x=-11`
`x=5.5litre`.