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  4. 6 litre mixture of methane and propane, on complete combustion, gives 7 litres of CO2. The composition of the mixture is

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Q. $6$ litre mixture of methane and propane, on complete combustion, gives $7$ litres of $CO_2$. The composition of the mixture is

Some Basic Concepts of Chemistry

Solution:

Let $CH_4 = x\, L$ and $C_3H_8 = (6 -x)L$
$CH_4 + 2O_2 \to CO_2 + 2H_2O$
$1\, L$ of $CH_4$ gives $= 1L$ of $CO_2$
$x \,L$ of $CH_4$ gives $= xL$ of $CO_2$
$C_3H_8 + 5O_2 \to 3CO_2 + 4H_2O$
$1L$ of $C_3H_8$ gives $= 3L$ of $CO_2$
$(6 - x ) L = 3(6 - x) = (18 - 3x)\, L$ of $CO_2$
Total $CO_2$ produced $= x + 18 - 3x = 7L$
Solve for $x$