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Volume of Gases and Number of Moles

When 20 ml of...

Question

When 20 ml of mixture of $O_{2}$ and $O_{3}$ is heated, the volume becomes 29 ml and disappears in alkaline pyragallol solution. What is the volume precent of $O_{2}$ in the original mixture?

A

90%

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B

10%

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C

18%

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D

2%

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Solution

The correct option is C 10%
Oxygen is soluble in an alkaline pyrogallol solution.
Let the original mixture contains $x m l$ of oxygen and $(20 - x) m l$ of ozone.
$2 O_{3} ⇌ 3 O_{2}$
Thus, $(20 - x) m l$ of ozone will give $\frac{3}{2} (20 - x) = 30 - 1.5 x m l$ of oxygen.
This is equal to $29 - x m l$ of oxygen.
Hence, $30 - 1.5 x m l = 29 - x$ or $x = 2$ .
The volume percentage of oxygen in the mixture is $\frac{2}{20} \times 100 = 10 %$ .

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