Question

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

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

Answer 1

Answer: (D)

$H_{2}S{O}_4$ is $98\%$ by weight

Weight of $H_{2}S{O}_4=98g$

Weight of solution $=100g$

Volume of solution $=\frac{\text{ Mass }}{\text{ Density }}=\frac{100}{1.80}mL$

$=55.55mL=0.0555L$

Molarity of solution $=\frac{98}{98\times 0.0555}\approx 18.02M$

Let $VmL$ of $H_{2}S{O}_4$ be used to prepare one litre of 0.1 $M{H}_{2}S{O}_4$

$V\times 18.02=1000\times 0.1$

$V=\frac{1000\times 0.1}{18.02}=5.55mL$