Concentrated of aqueous sulphuric acid is $98 \% \mathrm{H}_2 \mathrm{SO}_4$ by mass and has a density of $1…

Concentrated of aqueous sulphuric acid is $98 \% \mathrm{H}_2 \mathrm{SO}_4$ by mass and has a density of $1.80 \mathrm{~g} \mathrm{~mL}^{-1}$ Volume of acid required to make one litre of $0.1 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ solution is:
  1. $16.65 \mathrm{~mL}$
  2. $22.20 \mathrm{~mL}$
  3. $5.55 \mathrm{~mL}$
  4. $11.10 \mathrm{~mL}$

Solution

\(\begin{aligned} & \text {Normality }=\frac{98 \times 1.8 \times 10}{49}=36 \mathrm{~N} \\ & \mathrm{N}_2=0.1 \times 2=0.2 \mathrm{~N} \\ & \mathrm{N}_2 \mathrm{~V}_2=\mathrm{N}_1 \mathrm{~V}_1 \\ & \Rightarrow 36 \times \mathrm{V}=0.2 \times 1000 \\ & \Rightarrow \mathrm{~V}=\frac{0.2 \times 1000}{36}=5.55 \mathrm{~mL}\end{aligned}\)

Asked in: NEET 2007

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