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NEET CHEMISTRYMedium

Concentrated aqueous sulphuric acid is 98%98\% H2SO4\text{H}_2\text{SO}_4 by mass and has a density of 1.80 g mL11.80\text{ g mL}^{-1}. Volume of acid required to make one litre of 0.1 M0.1\text{ M} H2SO4\text{H}_2\text{SO}_4 solution is:

A

11.10 mL11.10\text{ mL}

B

16.65 mL16.65\text{ mL}

C

22.20 mL22.20\text{ mL}

D

5.55 mL5.55\text{ mL}

Step-by-Step Solution

First, find the molarity of the concentrated sulphuric acid solution. Molarity (M1M_1) = Mass percentage×10×DensityMolar mass\frac{\text{Mass percentage} \times 10 \times \text{Density}}{\text{Molar mass}} Molar mass of H2SO4=(2×1)+32+(4×16)=98 g mol1\text{H}_2\text{SO}_4 = (2 \times 1) + 32 + (4 \times 16) = 98\text{ g mol}^{-1}. M1=98×10×1.8098=18 MM_1 = \frac{98 \times 10 \times 1.80}{98} = 18\text{ M}. Now, use the dilution formula to find the volume required (V1V_1) to prepare 1 L1\text{ L} (1000 mL1000\text{ mL}) of 0.1 M0.1\text{ M} H2SO4\text{H}_2\text{SO}_4 solution. M1V1=M2V2M_1V_1 = M_2V_2 18×V1=0.1×100018 \times V_1 = 0.1 \times 1000 18×V1=10018 \times V_1 = 100 V1=100185.55 mLV_1 = \frac{100}{18} \approx 5.55\text{ mL}.

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