A sample of $H_{2} O_{2}$ solution labelled as $28$ volume has density of $26.5 g / L$ . Mark the correct option(s) representing concentration of same solution in other units.

M_{H_{2} O_{2}} = 2.5

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% \frac{w}{v} = 17

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Mole fraction of

H_{2} O_{2} = 0.2

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m_{H_{2} O_{2}} = 13.88

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Solution

The correct options are
B $M_{H_{2} O_{2}} = 2.5$
C Mole fraction of $H_{2} O_{2} = 0.2$
D $m_{H_{2} O_{2}} = 13.88$
$V_{s t r e n g t h} = 56$ ;

$∴ M = \frac{28}{11.2} = 2.5$

$∴ 1 L$ contains $2.5$ moles of $H_{2} O_{2}$ .

or, $2.5 \times 34 = 85 g H_{2} O_{2}$

Wt. of $1$ litre solution $= 265 g (∵ d = 265 g / L)$

$∴ w_{H_{2} O} = 180 g$ or moles of $H_{2} O = 10 m o l e s$

$n_{H_{2} O_{2}} = \frac{2.5}{2.5 + 10} = 0.2$
$% \frac{w}{v} = \frac{2.5 \times 34}{1000} \times 100 = 8.5$
$m = \frac{2.5}{180} \times 1000 = 13.88$

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