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When 10 ml of...

Question

When 10 ml of a solution of $H_{2} O_{2}$ is heated strongly, 280 ml of $O_{2}$ is produced at STP due to the decomposition of all the $H_{2} O_{2}$ present in the solution. What is molarity of the $H_{2} O_{2}$ in the solution?

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Solution

10 ml produce 280 ml of $O_{2}$ at STP So 1 ml will produce 28 ml of $O_{2}$ at STP.
So, volume strength of $H_{2} O_{2}$ solution is 28
$H_{2} O_{2} \to H_{2} O + \frac{1}{2} O_{2}$
$Volume strength = 11.2 \times M \Rightarrow 28 = 22.4 \times \frac{M}{2} \Rightarrow M = 2.5$

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