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Standard XII

Chemistry

Percentage Composition

Find out the ...

Question

Find out the volume of 98% (w/w) $H_{2}$ $S O_{4}$ (density = 1.8 g/ml) that must be diluted to prepare 12.0 litres of 2.4 M sulphuric acid solution.

1.6 L

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1.8 L

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2.3 L

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2.8 L

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Solution

The correct option is A 1.6 L
$Number of moles in 12.0 L of 2.4 M solution = 12.0 \times 2.4 = 28.8 m o l$
The sulfuric acid solution is 98% w/w.
The weight of sulfuric acid $= 28.8 \times 98 \times \frac{100}{98} = 2880 g$ .
Density = $\frac{Mass}{Volume}$ = 1.8 g/ml
Hence, volume of the sulfuric acid solution is $\frac{Mass}{Density}$ = $\frac{2880 g}{1.8 g / m l} = 1600 m l = 1.6 L$ .
Therefore option A is correct.

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Percentage Composition

Standard XII Chemistry

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Find out the volume of 98% (w/w) H2SO4 (density = 1.8 g/ml) that must be diluted to prepare 12.0 litres of 2.4 M sulphuric acid solution.

Find out the volume of 98% (w/w) $H_{2}$ $S O_{4}$ (density = 1.8 g/ml) that must be diluted to prepare 12.0 litres of 2.4 M sulphuric acid solution.