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Question

A gaseous alkane on complete combustion gives $$CO_2$$ and $$H_2O.$$ If the ratio of moles of $$O_2$$ needed for combustion and moles of $$CO_2$$ formed is $$5 : 3$$. find out the formula of alkane.

Solution
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Let the alkane be $$C_nH_{2n + 2}$$

$$C_nH_{2n +2} + \left [ n + \dfrac {n + 1}{2} \right ]O_2 \rightarrow nCO_2 + (n + 1)H_2O$$

$$\dfrac { Mole\,of\,O_2}{Mole\,of\,CO_2} = \dfrac {n + n+1/2}{n} = \dfrac {5}{3}$$

$$n = 3$$

Thus alkane is $$C_3H_8$$.

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