Question

Concentrated aqueous sulphuric acid is 98% $H_{2}S{O}_4$ by mass and has a density of $1.80g.m{L}^{-1}.$ Volume of acid required to make one litre of 0.1 $M{H}_{2}S{O}_4$ is,

• A. 5.55 mL
• B. 11.10 mL
• C. 16.65 mL
• D. 22.20 mL

Answer 1

The correct option is A

5.55 mL

The density of the 98% acid is = 1.80 g/ml

$\Rightarrow$ 1 litre has 1800g of $H_{2}S{O}_4$ solution.

But only 98% of this is the actual acid.

$\Rightarrow$ 1 litre has 0.98 (1800)g $H_{2}S{O}_4$ (pure)

$\Rightarrow$ 1 litre has $\frac{1764}{98}$ moles $H_{2}S{O}_4=18M\Rightarrow$

Now, $18\times V_1=0.1\times 1$ or $V_1=\frac{0.1}{18}\times 1000=5.55mL$