A gaseous alkane is exploded with oxygen. The volume of $O_{2}$ for complete combustion to ${CO}_{2}$ formed is in the ratio $\frac{7}{4}$ The molecular formula of alkane is:

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$C_{2} H_{4}$

${CH}_{4}$

$C_{4} H_{12}$

$C_{2} H_{6}$

answer is B.

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Detailed Solution

Reaction for this procedure is as follows,

$\begin{array}{l} C_{n} H_{2 n + 2} + (\frac{3 n + 1}{2}) O_{2} \to n {CO}_{2} + (n + 1) H_{2} O \\ \frac{3 n + 1}{2} = \frac{7}{4} \\ \Rightarrow n = 2 \end{array}$

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