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Characteristics of Chemical Reaction

When 0.031 ...

Question

When $0.031$ of a mixture of hydrogen and oxygen was exploded, $0.003 1$ of oxygen remained. The initial mixture contains (by volume)

60 % O_{2}

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40 % O_{2}

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50 % O_{2}

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30 % O_{2}

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Solution

The correct option is B $40 % O_{2}$
$2 H_{2} + O_{2} \to 2 H_{2} O$
$x 0.031 - x$
$24 m l$ of $H_{2}$ reacts with $021 m l O_{2}$
$∴ x m l$ reacts with $\to m l O_{2}$
$∴ (0.031 - x) - \frac{x}{2} = 0.0031$
$0.031 - x - \frac{x}{2} = 0.0031$
$0.062 - 2 x - \frac{x}{2} = (0.0031) \times 2$
$- 3 x + 0.062 - 0.0062$
$3 x = 0.0620.0062$
$x = 0.0186 m l$
Volume of $O_{2} = 0.031 - 0.0186$
$+ 0.0124 m l$ .
Volume of $O_{2} = 0.031 - 0.0186$
$= 0.0124 m l$
$%$ initial vol of $O_{2} = \frac{0.0124}{0.031} \times 100$
$= 40 % 0$
Option $b$

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